The two functions of f(x)= -6x2 + 5 and g(x)= 5 result in the y-intercept of function g(x) being 2 as a result (1. 5)
what is functions ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
y-intercept for f(x) is f(0)
so f(0) =
=> 0+5
=>5
so the y-intercept of f(x) is 5
now y-intercept of g(x) is g(0)
so g(0) = 7*0 +2
=>0 +2
=>2
The two functions of f(x)= -6x2 + 5 and g(x)= 5 result in the y-intercept of function g(x) being 2 as a result (1. 5) .
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Solve the inequality.
-4i + 28 > 8
The value of i for given inequality is i < 5.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:
The symbol a b indicates that an is smaller than b.
When a > b is used, it indicates that an is bigger than b.
A is not equivalent to b in any scenario. Since an is strictly less than or strictly greater than b, these relationships are known as stringent inequalities. Equivalence is not considered.
Given,
-4i + 28 > 8
Dividing the equation by 4
-i + 7 > 2
Subtracting 7 from both sides,
- i > -5
i < 5
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find 9 f(x) dx 0 if f(x) = 7 for x < 7 x for x ≥ 7 .
The function is 130/2.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
According to question,
[tex]\int\limits^9_0 {f(x)} \, dx \\ \int\limits^7_0 {f(x)} \, dx+\int\limits^9_7 {f(x)} \, dx\\ \int\limits^7_0 {7} \, dx + \int\limits^9_7 {x} \, dx\\ (7x)^{7} _{0} + (\frac{x^{2} }{2})^{9} _{7}[/tex]
7x7 - 7x0 + 81/4 - 49/4
49 + 32/2
130/2
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A circle is inscribed inside a square. If a point inside the square is selected at random, what is the probability that the point will also be inside the circle?
The probability that the point will also be inside the circle will be 0.7854.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
A square has a circle inside it. If a square's the inside point is chosen at random.
The length of the edge of the square and the diameter of the circle will be congruent. Then the probability that the point will also be inside the circle will be given as,
P = [(π/4)a²] / [a²]
P = π/4
P = 0.7854
The probability that the point will also be inside the circle will be 0.7854.
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In ABDC shown below, point E is on CD, and point F is on BD so that
ZBCD ZEFD. If FD=30, BC = 77, and EF = 35, find the
length of CD. Figures are not necessarily drawn to scale.
The length of the CD is 66.
What are similar triangles?Similar triangles are triangles that have the same shape but can be different sizes. Two triangles are similar if and only if the corresponding angles are congruent and the corresponding side lengths are in proportion. The symbol for similarity is '~' . Similarity can be determined by using the Angle-Angle (AA) similarity, the Side-Angle-Side (SAS) similarity, or the Side-Side-Side (SSS) similarity. If two triangles are similar, the ratio of the corresponding side lengths is called the scale factor. If this scale factor is k, then the ratio of any pair of corresponding sides is k.
In ΔBCD and ΔEFD,
side BC ≈ side EF ....(given E is on CD)
∠ BCD ≅ ∠EFD .....(given)
side CD ≈ side FD ......( given F is on BD)
∴ΔBCD ≈ ΔEFD ....(By Side Angle Side criteria)
[tex]\frac{BC}{EF} = \frac{CD}{FD}[/tex]
∴ [tex]\frac{77}{35} = \frac{CD}{30}[/tex]
∴ CD = 77 × 30/ 35
∴ CD = 66
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What is the meaning of Soh CAH Toa?
Sine, cosine, and tangent are the three letters in the acronym SOH CAH TOA. It is a mnemonic tool for remembering the three primary trigonometric ratios' definitions: tangent, cosine, and sine.
The following are the meanings of the acronym SOH CAH TOA: Cosine is the ratio of the adjacent side to the hypotenuse, tangent is the ratio of the opposite side to the adjacent side, and sine is the ratio of the side opposite the angle to the hypotenuse.
To help remember the definitions of the trigonometric ratios, SOH CAH TOA is a useful tool. It can be used to solve trigonometric equations, determine right triangle side lengths, and calculate triangle angles. It can also be used to calculate the sine, cosine, and tangent of any right triangle's angles.
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If you vertically compress the absolute value parent function f(x)= x by a factor of 3.
The equation of the new function, if we vertically compress the absolute value parent function, f(x) = |x| by a factor of 3: y = 1/x |x|
In this question we have been given an absolute value function f(x) = |x|
We need to find the equation of the function, if we vertically compress the absolute value parent function, f(x) = |x| by a factor of 3.
We know in function transformtaion there are two types of dilations.
1) Horizontal Dilation: a function y = f(x) into the form y = f(kx)
2) Vertical Dilation: a function y = f(x) into the form y = k f(x)
In both the cases, if k > 1, then the graph stretches and if 0 < k < 1, then the graph shrinks.
Since we vertically compress the absolute value parent function f(x) = |x| by a factor of 3, a scaling factor k must be 0 < k < 1
So, k = 1/3
And the required function wuld be, y = 1/3 * f(x)
y = 1/3 |x|
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The absolute value parent function is f(x)= x. When we vertically compress the absolute value parent function f(x)= x by a factor of 3, the new equation is f(x)=⅓x.
The vertical compression by a factor of 3 means that the original graph will be compressed to a vertically scaled-down version of the original graph. This means that the graph will be shorter by a factor of 3.
To calculate the new equation, we must first determine the value of the constant “a”. The equation of the original absolute value parent function is f(x)=x. When we vertically compress the absolute value parent function f(x)=x by a factor of 3, the new equation is f(x)=ax. The value of “a” is equal to ⅓. Therefore, the new equation of the absolute value parent function f(x)=x when it is vertically compressed by a factor of 3 is f(x)=⅓x.
The graph of the new equation is shown below. The graph is shorter than the original absolute value parent function by a factor of 3.
From the graph, we can also see that the new equation has a minimum value of -1/3, a maximum value of 1/3, and the graph is symmetrical along the y-axis.
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Find the slope-intercept equation of the line that passes through (1,-2) and has an undefined slope.
The slope - intercept equation of a line that would pass through (1,-2) and has an undefined slope, is y = -2 x
How to find the slope intercept equation?The slope - intercept equation takes the form:
y = mx + b
m = slope
b = y - intercept
When the slope is undefined, it means that there is no y - intercept as the slope is a vertical line which crosses the x - axis alone. The slope would therefore be :
y = mx
- 2 = 1 x
m = - 2
The slope - intercept form is:
y = -2 x
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Nezzie plans to sell all of her shares when she can profit $5,000. what must the net asset value be in order for nezzie to sell? a. $16.67 b. $33.25 c. $33.57 d. $33.66
Answer:
D
Step-by-step explanation:
It is D
On March 13, 2013, a Japanese printer presented the smallest book known at that date entitled "flowers of the four seasons". This square book has 22 pages of 0.75 mm on each side.
1) Calculate the area in m², of a page of this book answer : ???
The area of a page of the book, "flowers of the four seasons". would be = 5.6× 10^-⁷ m²
How to calculate the area of a book?To calculate the area of a book, the length and weight of the book must be determined which is then multiplied to give it's area in square metres or mm².
The number of pages that makes up the book, "flowers of the four seasons". = 22 pages.
Since the book has a square shape, the length and width is the same = 0.75 mm
To convert 0.75 mm to meter, divide by 1000= 0.00075m
The area of a page = Length× width = 0.00075×0.00075
= 0.0000005625= 5.6× 10^-⁷ m²
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Apples cost two dollars each in a pear cost three dollars each been spent a total of $24 went grocery shopping for apples and pears combined if a is a variable that represents the number of apples in P represents the number of hairs write an equation that would model this situation
The equation that would model this situation is 2a + 3p = 24
How to write an equation that would model this situationFrom the question, we have the following parameters that can be used in our computation:
Apples = 2 dollars eachPear = 3 dollars each Total amount = $24Also, from the question, we have
a is a variable that represents the number of apples p represents the number of pearsThese parameters above mean that:
2 * a + 3 * p = 24
Evaluate
2a + 3p = 24
Hence, the equation is 2a + 3p = 24
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How many comparisons are needed for a binary search in a set of 512 elements?
The number of comparisons required for an array of length 512 is
1+log2(512)=1+9=10.
Binary search:
Searching is an operation done to find the required element (or key) among a group of elements (an array).
Binary search or logarithmic search is a type of searching algorithm that can be used on a sorted array.
In this algorithm, we always check the middle number and compare the key with it. If the key equals the middle number, we're done. If the key is greater than the middle number, we know the key (if it's in the array at all) must be in the right half of the array. Conversely, if the key is less than the middle number, we know the key (if it's in the array at all) must be in the left half of the array. In other words, at every step of the search, we cut the array we're searching through in half. Of course, this only works because the array we started with is sorted.
In a binary search, at every step we compare the key with the middlemost value. If the key is greater than the middlemost value, we discard the left half of the data. If the key is less than the middlemost value, we discard the right half of the data. This process is repeated until we find the element we are looking for.
If we start with an array of length 2=21
, the worst-case scenario is we have to compare the key with both elements: 2 comparisons.
If we start with an array of length
4=22, the worst-case scenario is the key is not the middlemost element, we reduce our search to a 2-element array, and then we're in the worst-case scenario of the previous case: 1+2=3 comparisons.
If we start with an array of length
8=23
, the worst-case scenario is the key is not the middlemost element, we reduce our search to a 4-element array, and then we're in the worst-case scenario of the previous case: 1+3=4 comparisons.
Do you see a pattern? If we start with an array of length
2k, the worst-case scenario is we make 1+k
comparisons. Since 512=2log2(512)=29
The number of comparisons required for an array of length 512 is
1+log2(512)=1+9=10.
In general, the number of comparisons required for an array of length
n is 1+log2(n)
. We usually just round this to
log2(n). Remember that
log2(n)
is basically the number of times n can be cut in half until we get down to 1 or less, so this makes sense.
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Identify the restrictions on the domain of f(x) = quantity x minus 3 over quantity x plus 5.
The ratio of two values, x - 3 to x + 5, is the definition of the function f(x) = (x - 3)/(x + 5). The denominator (x + 5) of this function is defined for any values of x such that it is not equal to 0. The fraction would be undefined if the denominator was set to 0, which indicates that the function is not defined for that particular value of x.
For instance, the fraction would be undefinable if x = -5 because the denominator (x + 5) would be equal to 0. As a result, when x = -5, the function is not defined. The sole limitation on the function's domain is this one.
The domain of the function accepts all other values of x. The function is defined, for instance, for x = -4, -3, -2, and so forth.
In conclusion, x cannot be equal to -5, which is the only restriction on the domain of the function f(x) = (x - 3)/(x + 5). The domain of the function accepts all other values of x.
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Sonia finds a 3-full small bag of chips. She eats the rest of the chips
in the bag. Then she opens another small bag of chips. Sonia eats
of those chips. What fraction of a small bag of chips does Sonia
eat altogether?
The fraction of a small bag of chips does Sonia eat altogether if Sonia finds a 3/4- full bag of chips, she eats the rest of the chips in the bag, is 7 / 8.
What is a fraction?Only verbal descriptions of a portion of the whole were used to write fractions in ancient Rome. The numerator and denominator of fractions is first written in India with one number above the other but without a line. The line used to divide the numerator and the denominator were only added by Arabs.
Given:
Sonia finds a 3/4- full bag of chips, she eats the rest of the chips in the bag,
Calculate the fraction as shown below,
The Fraction of small bag of chips does Sonia eat altogether = total chips eat
The Fraction = 3/4 = 6/8
The Fraction = 6/8 + 1/8 = 7/8
Thus, the fraction is 7 / 8.
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The complete question is:
Sonia finds a 3/4- full bag of chips . she eats the rest of the chips in the bag. Then she opens another small bag of chips. Sonia eats 1/8 of those chips. what fraction of a small bag of chips does Sonia eat altogether?
What is the difference between a line and a line segment Class 4?
Answer:
Answer Below
Step-by-step explanation:
The key difference between line and line segment is, a line is extended in both directions infinitely but a line segment has two endpoints.
In ΔUVW, w = 690 inches, m m∠W=79° and m m∠U=82°. Find the length of v, to the nearest 10th of an inch.
The measure of the length of side v is 228.8 inches
How to determine the measure of the length of side vFrom the question, we have the following parameters that can be used in our computation:
A triangle
The readings from the triangle are given as
Angle U = 82 degrees
Angle W = 79 degrees
Side w = 690 inches
Start by calculating the measure of angle V using the following equation
Angle V = 180 - Angle U - Angle W
Substitute the known values in the above equation, so, we have the following representation
Angle V = 180 - 82 - 79
Evaluate the difference
Angle V = 19
The length of V is then calculated by making use of the following sine law
v/sin(V) = w/sin(W)
Substitute the known values in the above equation, so, we have the following representation
v/sin(19) = 690/ sin(79)
This gives
v =/sin(19) * 690/ sin(79)
Evaluate the expression
v = 228.8
Hence, the length is 228.8 inches
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True or false: The chi-square distribution is symmetric.
Choose the best answer below,
skewed neither left nor right
A. True. Since the chi-square distribution is skewed neither left nor right, it is symmetric.
B. False. The chi-square distribution is skewed to the left.
C. False. The chi-square distribution is skewed to the right.
D. True. Since the chi-square distribution is skewed to the left and right, it is symmetric.
(C) False. The chi-square distribution is skewed to the right.
'What is chi square?'
The chi-square test, a statistical method, is used to compare actual results with forecasts. This test's objective is to determine whether a disparity between observed and anticipated data is due to chance or a correlation between the variables under study. Thus, using a chi-square test is a fantastic alternative for better understanding and interpreting the relationship between our two category variables.
To perform a chi-square test to determine the statistical significance of the connection between s2q10 and s1truan, choose Analyze, Descriptive Statistics, and then Crosstabs.
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72 red and blue chairs in a class. The chair is selected at random from the class and the probability of selecting a blue chair is 2/3. If 4 red chairs and 2 blue chairs are taking out from the class, find the probability of selecting a red chair at random.
After 4 red chairs and 2 blue chairs are taken out from the class, there are 72 - 4 - 2 = 66 chairs remaining. Of these 66 chairs, 72 * 2/3 - 2 = 46 chairs are blue. Therefore, the probability of selecting a red chair at random is (66 - 46) / 66 = 20/66 = 5/16.
Here are some fractions.
9/12 6/8 18/24 10/16 15/20
One of these fractions is not equivalent to 3/4
Which fraction?
Fraction 10/16 is not equivalent to 3/4 among the other given fractions.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given some fractions.9/12, 6/8, 18/24, 10/16, and 15/20.
Simplifying this given fraction by taking the common term out
[tex]\frac{9}{12}, \frac{6}{8} , \frac{18}{24} , \frac{10}{16} , \frac{15}{20}[/tex]
[tex]\frac{9/3}{1/3}, \frac{6/2}{8/2} , \frac{18/6}{24/6} , \frac{10/2}{16/2} , \frac{15/5}{20/5}[/tex]
Thus we will get
3/4, 3/4, 3/4, 5/8, 3/4
Therefore, Among the other fractions listed, fraction 10/16 is not equal to fraction 3/4.
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Make x the subject of the formula y=ax-b
The variable x as the subject of the formula is x = (y + b)/a
How to make x the subject of the formula?From the question, we have the following parameters that can be used in our computation:
y = ax - b
The above equation is a linear equation
To make the variable x the subject of the formula, we start by adding the variable b to both sides of the equation
Using the above as a guide, we have the following:
y + b = ax - b + b
Evaluate the like terms
This gives
y + b = ax
Next, we divide both sides of the equation by a
This gives
x = (y + b)/a
Hence, the solution is x = (y + b)/a
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Find m<1
Not sure on this!
Answer:
Step-by-step explanation:
They're congruent triangles, so 1 = 40
What is the midpoint of PQ, what is the value of M
The midpoint M of the line segment PQ is 14 units
How to determine the midpoint of the segment PQ?From the question, we have the following parameters that can be used in our computation:
A line segment PQ
The midpoint M
Using the above as a guide, we have the following:
P = 5
Q = 23
The midpoint M can be calculated using any of the following formulas
M = (Q - P)/2 + P or M = (P + Q)/2
Substitute the known values in the above equation, so, we have the following representation
M = (23 - 5)/2 + 5 or M = (23 + 5)/2
Evaluate the equations
M = 14
Hence, the value of M is 14 units
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Evaluate the following expressions.(a) \ln e ^ { -11 } =(b) e ^ {\ln 5 } =(c) e ^ {\ln \sqrt { 2 } } =(d) \ln ( 1/e^ { 4} ) =
The following logarithm expressions are,
(a) [tex]ln e^{-11}[/tex] = -11
(b) [tex]e^{ln5}[/tex] = 5
(c) [tex]e^{ln\sqrt{2} }[/tex] = 1.414
(d) [tex]ln^{\frac{1}{e^{4} } }[/tex] = -4
It is important to remember the following logarithm properties in order to solve the exercise:
[tex]ln(a) + ln(b) = ln(ab)[/tex]
[tex]ln(a) -ln(b) = ln(\frac{a}{b} )[/tex]
[tex]ln(a^{m})= m ln(a)[/tex]
[tex]ln(e)=1[/tex]
Given data,
(a) \ln e ^ { -11 }
[tex]ln e^{-11}[/tex] = [tex]ln_{e} ^{e^{-11} }[/tex]
[tex]ln e^{-11}[/tex] = -11
(b) e ^ {\ln 5 }
[tex]e^{ln5}[/tex] = 5
(c) e ^ {\ln \sqrt { 2 } }
[tex]e^{ln\sqrt{2} }[/tex] = [tex]\sqrt{2}[/tex]
[tex]e^{ln\sqrt{2} }[/tex] = 1.414
(d) \ln ( 1/e^ { 4} )
[tex]ln^{\frac{1}{e^{4} } }[/tex] = [tex]elne^{-4}[/tex]
[tex]ln^{\frac{1}{e^{4} } }[/tex] = -4
Therefore,
The following logarithm expressions are,
(a) [tex]ln e^{-11}[/tex] = -11
(b) [tex]e^{ln5}[/tex] = 5
(c) [tex]e^{ln\sqrt{2} }[/tex] = 1.414
(d) [tex]ln^{\frac{1}{e^{4} } }[/tex] = -4
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everything in the picture
The measure of m∠6 is 123° and is equal to m∠1 because there are corresponding angles formed by parallel lines cut by a transversal.
What are corresponding anglesCorresponding angles are the angles that are formed when two parallel lines are cut or intersected by the transversal and they are equal.
The angles 1, 2, 3, 4, 5, 6, 7, and 8 all lie on a transversal line that cuts the parallel lines, hence m∠1 and m∠6 are corresponding angles are they are equal.
so;
m∠1 = (15x + 3)° = m∠6 = (10x + 43)°
collect like terms, we have;
15x - 10x = 43° - 3°
5x = 40°
divide through by 5
x = 40°/5
x = 8
m∠6 = [10(8) + 43]°
m∠6 = (80 + 43)°
m∠6 = 123°
Therefore, the corresponding angle m∠6 have the measure of 123°.
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Solve the inequality:
x+2<20
Given the Square JKLM, if the area of JKLM is 64 sq in.., what is the length of the diagonal KM?
The length of diagonal KM of square is 11.31 inch.
What is square?
A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can also be explained as a rectangle with two adjacent sides that are of equal length.
A square has four equal sides, four vertices, and is a closed, two-dimensional shape. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.
Given:
The Square JKLM, the area of JKLM is 64 sq in.
We have to find the length of diagonal KM.
Since,
Area of square = (side)^2
64 = (side)^2
Side = 8
Length of each side of square is 8 in.
By using the Pythagorean theorem,
(KL)^2 + (LM)^2 = (KM)^2
8^2 + 8^2 = (KM)^2
64 + 64 = (KM)^2
128 = (KM)^2
KM = 11.31
Hence, the length of diagonal KM of square is 11.31 inch.
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Help please ASAP[tex]\\\\\\[/tex]
y = (4/5)x - 1 is the equation of the line in slope-intercept form
How to write the equation of a line in slope-intercept form?
The equation of a line in slope-intercept form is y = mx + c.
Where m is the slope and c is the y-intercept (0, y)
slope = (y2-y1)/(x2-x1)
where (x1, y1) and (x2, y2) are the coordinates of two points that lie on the line
From the graph:
c = -1
x1 = 0, y1 = -1 and x2 = 5, y2 = 3
slope (m) = (3-(-1)) / (5-0) = 4/5
substitute m = 4/5 and c = -1 into y = mx + c:
y = (4/5)x - 1
Thus, the equation of the line in slope-intercept form is y = (4/5)x - 1
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What’s the algebraic expression if you have h more than 8?
Answer: h+8
Step-by-step explanation:
It’s simple h MORE than 8
Answer: h+8
Step-by-step explanation:
time sensitive
20 points
Algebra 1
Answer:
c
Step-by-step explanation:
PLEASE HELP ME ANSWER MY MATH SUBJECT WITH SOLUTION
1. (12,-5) and (13,-6) m=
2. (13,3) and (14,3) m=
3. (3,-20) and (5,8) m=
4. (1,2) and (3,8) m=
5. (-1,1) and (15,1) m=
6. (1,5) and (6,15) m=
7. (2,-12) and (10,12) m=
8. (1,8) and (3,0) m=
9. (0,0) and (-4,-8) m=
10 (5,3) and (12,10) m=
WITH SOLUTION
Answer:
(12,-5) and (13,-6) m = (6/-1) = -6
(13,3) and (14,3) m = 0
(3,-20) and (5,8) m = (8- -20)/(5-3) = 28/2 = 14
(1,2) and (3,8) m = (8-2)/(3-1) = 6/2 = 3
(-1,1) and (15,1) m = 0
(1,5) and (6,15) m = (15-5)/(6-1) = 10/5 = 2
(2,-12) and (10,12) m = (12--12)/(10-2) = 24/8 = 3
(1,8) and (3,0) m = (0-8)/(3-1) = -8/2 = -4
(0,0) and (-4,-8) m = (-8-0)/(-4-0) = -8/-4 = 2
(5,3) and (12,10) m = (10-3)/(12-5) = 7/7 = 1
Note that the slope of a line can be found by using the formula m = (y2 - y1)/(x2 - x1)
Step-by-step explanation:
1. (12,-5) and (13,-6) m= -1
2. (13,3) and (14,3) m= 0
3. (3,-20) and (5,8) m= 14
4. (1,2) and (3,8) m= 3
5. (-1,1) and (15,1) m= 0
6. (1,5) and (6,15) m= 2
7. (2,-12) and (10,12) m= 3
8. (1,8) and (3,0) m= -4
9. (0,0) and (-4,-8) m= 2
10 (5,3) and (12,10) m= 1
What is a formula of area of equilateral triangle?
The Formula to calculate the area of the equilateral triangle with side length as "x" units is [tex]\frac{\sqrt{3} }{4} x^{2}[/tex] square units .
What is an Equilateral Triangle ?
An equilateral triangle is defined as a type of triangle in which all the sides and all the angles are equal in measure .
The measure of each angle of equilateral triangle is 60° .
The area of the equilateral triangle can be calculated by the formula :
Area = [tex]\frac{\sqrt{3} }{4} x^{2}[/tex] , where x is = the side of the equilateral triangle .
For Example : if the side length of equilateral triangle is 2 units ,
then its area will be = [tex]\frac{\sqrt{3} }{4} \times 2^{2}= \frac{\sqrt{3} }{4} \times 4 =\sqrt{3}[/tex] square units .
Learn more about Equilateral Triangle here
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