The total amount paid for the car is $13,200.00.
What is the accrued amount paid for the car?The simple interest formula is expressed as;
A = P( 1 + rt )
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $12,000Elapsed time t = 3 yearsInterest rate r = 3.5%Accrued amount A = ?Convert the interest rate to decimal
Rate r = 3.5%
Rate r = 3.5/100
Rate r = 0.035
Plug the given values into the above formula and solve for accrued amount A.
A = P( 1 + rt )
A = $12,000( 1 + (0.035 × 3) )
A = $12,000( 1 + 0.105 )
A = $12,000( 1.105 )
A = $13,200.00
Therefore, the accrued amount is $13,200.00.
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A person who bought 40 peaches took 20% of the store's peaches. How many peaches did the store have left?
Answer:
They have 160 peaches left
Step-by-step explanation:
The perimeter of a rectangular garden is 38m and its area is 60sq. M. What are the dimensions of the garden?.
The length of the rectangular garden is 12 m and the breadth is 5 m.
The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula of the area of a rectangle is used to find the area occupied by the rectangle within its boundary. In the above example, the area of the rectangle whose length is 4 inches and the width is 3 inches is 12 square inches. We have 4 × 3 = 12. The area of a rectangle is obtained by multiplying its length and width. Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".
Area of a Rectangle = (Length × Breadth) square units
Let us assume that the length of the rectangular garden is x and the breadth is y.
We are given that The perimeter of a rectangular garden is 38m and its area is 60sq.
Perimeter = 2(length + breadth) = 2(x +y)
∴ 2 (x+y) = 38 ⇒ x+ y = 17 ⇒ y = 17 -x
Area = length×breadth = xy
∴ xy = 60
Substitute y from above equation:
x(17 - x) = 60
⇒ 17x - x² = 60
⇒ x² - 17x + 60 = 0
Solving this quadratic equation, we get
x = 12 , 5
Thus, the length of the rectangular garden is 12 m and the breadth is 5 m.
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The vertices of a figure are P(-3,-2),Q(-3,0), and R(0, 0). Draw the figure and its image after a dilation with a scale
factor of k=4. Then identify the type of dilation.
The new images has vertices Q´ (-12, 0), R´ (0, 0), P´(-12, -8), and the type of dilation is contraction.
What is dilation?Dilation is the process of modifying the dimensions of an object or shape by varying some scale variables. For instance, a circle with a radius of 10 units gets shrunk to a circle with a radius of 5 units. This technique is applied in photography, fine art, logo design, and other fields.
When we dilate the points of a given figure, we simply multiply each x-coordinate and y-coordinate by the scale factor.
Here the points are P(-3,-2),Q(-3,0), and R(0, 0) and the scale factor is
k = 4
Therefore,
⇒ Q (-3,0) → Q´ (-3 × 4,0 × 4) = (-12, 0)
⇒ R (0, 0) → R´ (0, 0)
⇒ P (-3, -2) → T´ (-3 × 4, -2 × 4) = (-12, -8)
Thus, the new images has vertices Q´ (-12, 0), R´ (0, 0), P´(-12, -8),
Also, the type of dilation is contraction.
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Which region correctly represents the solution set of the inequalities y >= -5x + 1 and y >= x - 11
The area shows the solution set of the inequalities with accuracy. y >= -5 x + 1, X min, -10 X max, Y min, -10 Y max. and y >= x - 11 equals X min -10, X max 10, and Y min -10, Y max 10.
In what region is the solution set for the inequality?In the shaded area, solutions will be found. Ordered pairs on the border line are not part of the solution set because this is a "less than" problem. Solutions as well as these values are in the shaded area. Every point(a,b) where all inequality conditions hold when x=a and y=b is referred to as the solution zone of an inequality.
The solution set of the inequalities is accurately represented by region. Y >= -5 x + 1 X min -10 X max 10 X max 10 Y min -10 Y max 10. This region accurately depicts the set of solutions to the disparities. if y >= x – 11 then X min – 10 X max – 10 Y min – 10 Y max – 10
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In a survey done before an election, 65% people liked leader A and 60% people liked leader B. If 15%
people did not like to open their views to any of the leaders, using a Venn diagram find the percentage of
people who liked both the leaders.
The proportion of people who approved of both leaders exists 40%.
What is meant by Venn diagram?The logical connections between two or more sets of objects are shown by a Venn diagram, which uses circles or other forms that overlap. They frequently act as a visual organization tool, showcasing how things are alike and different.
A Venn diagram is a type of visual organizer that examines the connections among a variety of items. It consists of overlapping circles. To organize things, numbers, and shapes, they are frequently utilized. An instruction or label that relates in some way to the data is given to each circle.
As stated in the title. 60% of individuals favored leader B, and 65% favored leader A. If 15% of the population remained closed to the leaders,
The proportion of people who approved of both leaders
= 60 % - 20 % = 40 %
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X5 -3x3 -x2 +2x +2 ÷ x2 -2
Answer:
Hello!
Your answer follows below:
Step-by-step explanation:
X5 -3x3 -x2 +2x +2 ÷ x2 -2 = Please view attached file.
If you like my answer, please mark Brainliest.
Thanks!
I need to find the area with "A = 1/2 • b • h"
The given figure is a composite figure which consists of a rectangle BECF and a triangle ABD.
Find the area with "A = 1/2 • b • h" ?In the above figure,
(1) BECF is a rectangle
(2) ABD is a triangle
Area of the given composite figure
= Area of rectangle BECF + Area of triangle ABD
Area of rectangle BECF :
length CF = 18 cm and width BC = 10 cm
= length x width
= 18 x 10
= 180 cm2 ----(1)
Area of triangle ABD :
Base BD = BE - DE => 18 - 6 => 12 cm
Height AB = AC - BC => 8 - 10 => 2
Area of triangle ABD = (1/2) x b x h
= (1/2) x 12 x 2
= 12 cm2 ----(2)
(1) + (2) :
Area of the given composite figure is
= 180 + 12
= 192 cm2
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complete the remander of the table for the given function rule
y=-x-9
x -2, -1, 0, 1, 2
y -7,
The remainder of the table for the given function rule should be completed as follows;
x -2 -1 0 1 2
y -7 -8 -9 -10 -11
How to determine the range of this function?Based on the information provided, we have the following function rule:
Function, f(x) = y = -x - 9
When the domain x = -2, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(-2) - 9
Range, y = 2 - 9
Range, y = -7.
When the domain x = -1, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(-1) - 9
Range, y = 1 - 9
Range, y = -8.
When the domain x = 0, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(0) - 9
Range, y = 0 - 9
Range, y = -9.
When the domain x = 1, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(1) - 9
Range, y = -1 - 9
Range, y = -10.
When the domain x = 2, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(2) - 9
Range, y = -2 - 9
Range, y = -11.
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12,9,17,15,10 after each data value increase by 20%
The new data values after the increment by 20% are 14.4, 10.8, 20.4, 18 and 12
How to determine the new data valuesFrom the question, we have the following parameters that can be used in our computation:
Data values: 12,9,17,15,10
Increment: by 20%
This means that
new data values = old data values * (1 + Increment)
when the above equation is applied to the individual data values, we have
New 12 = 12 * (1 + 20%) = 14.4
New 9 = 9 * (1 + 20%) = 10.8
New 17 = 17 * (1 + 20%) = 20.4
New 15 = 15 * (1 + 20%) = 18
New 10 = 10 * (1 + 20%) = 12
So, the new values are 14.4, 10.8, 20.4, 18 and 12
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pls help due tomorrow!!!
Answer:
start by defining some extremes:
the absolute maximum for a/b would be at the maximum a and minimum b. This is 4/4 = 1. The minimum for a/b is 3/5
Are these both allowed values? NO! Each case is a limit which cannot be reached, because the a and b values must stop short of the limits. The answer appears to be: 3/5 < a/b < 1 (0.6 < a/b < 1)
What’s the answers!!! It’s due tonight I need help!!!
The explanation regarding the given values is given below.
What is Absolute Value?An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.
Given that x is on the right side of 1 therefore will be a positive quantity, while y is of the left side of 0 therefore will be always negative.
Also, y is more close to 0 while x is far from 1. Thus, we can write |x|>|y|.
Now, the two values are +x and -y let consider the given expressions,
2.1)
x + (-y)
= x - y
Since x is positive and greater than y while y is negative therefore, the result of this expression will be always positive and the value of the sum will be the absolute difference between x and y.
2.2)
(-y) - x
Since x is positive and greater than y while y is negative, therefore,
= -y + (-x)
= -y - x
The result of this expression will be always negative because y and x both will be negative and the value of the sum will be the numerical combined value of x and y.
2.3)
x - (-y)
Since x is positive and greater than y while y is negative, therefore,
= x + y
= x + y
The result of this expression will be always negative. therefore, the result of this expression will be always negative and the value of the sum will be the absolute sum of x and y.
2.4)
-y + x
Since x is positive and greater than y while y is negative, therefore,
= x - y
Since x is positive and greater than y while y is negative therefore, the result of this expression will be always positive and the value of the sum will be the absolute difference between x and y.
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Select the correct answer.
If f(x) = x3, what is the equation of the graphed function?
A. Y= f(x-3)-2
B. Y= f(x+3)-2
C. Y=f(x+2)-3
D. Y=f(x-2)+3
The equation of the graphed function will be;
⇒ Y = f (x + 3) - 2
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ f (x) = x³
Now,
Since, The equation of the graphed function is,
⇒ y = (x + 3)³ - 2 ..(i)
And, Here, The function is,
⇒ f (x) = x³
Put x = x + 3;
⇒ f (x + 3) = (x + 3)³
Substitute above value in equation (i), we get;
⇒ y = f (x + 3) - 2
Thus, The equation of the graphed function is,
⇒ Y = f (x + 3) - 2
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ACDF is a trapezoid and BE is a midsegment. X=?
keeping in mind that the mid-segment of a trapezoid is simply half the sum of the parallel sides or "bases", Check the picture below.
[tex]B E=\cfrac{C D+A F}{2}\implies 2x+10=\cfrac{18~~ + ~~(6x-12)}{2}\implies 4x+20=6x+6 \\\\\\ 20=2x+6\implies 14=2x\implies \cfrac{14}{2}=x\implies 7=x[/tex]
Paul wanted to buy a car, but he needed to borrow money. What is it called when you
borrow money over an extended amount of time? HELPP ASSAAPP
a) cashiers check
b) deposit
c) finance
d) credit
Answer:
I'm not too sure but i believe its credit.
Answer:
D.) credit
Step BY STEP EXPLANTION
k/8-1=-3. pls anawear this paper due tomorrow
Answer: k = 32
Step-by-step explanation:
k/8 - 1 = 3 We add 1 on both sides
+1 +1
k/8 = 4 Now we have to multiply by both sides to isolate the k
x8 x8
k = 32
HCM between 32 and 24. please help me
HCF of 32 and 24 is 8 (eight)
What is HCF?
HCF stands for the highest common factor - it is the greatest factor that divides the given number.
For example, 2 is the HCF of 4 and 6.
Given numbers are 32 and 24
prime factor of 32 is 2*2*2*2*2
prime factors of 24 are 2*2*2*3
HCF will be the product of a common number which is 2*2*2 =8
therefore, the HCF of 32 and 24 should be 8
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the complete question should be as follow
what is the HCF of 32 and 24?
Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify Q + S - T.
8m - 7n - 3
8m + 7n - 3
-8m - 7n - 3
-8m + 7n - 3
Answer:48
Step-by-step explanation:jjjhdwjhwed
On april 1, a company paid the $3,300 premium on a three-year insurance policy with benefits beginning on that date. What amount of insurance expense will be reported on the annual income statement for the year ended december 31?.
The insurance expense for the year ending December 31 would be $2,200.
If the insurance policy has benefits beginning on April 1 and the annual income statement is for the year ending December 31, then the insurance expense for the year would be a prorated portion of the $3,300 premium.
To determine the prorated amount, we need to calculate the number of months in the year covered by the policy. From April 1 to December 31, there are 9 months. The insurance expense for the year would be $3,300 divided by 3 (the number of years of the policy) and multiplied by 9/12 (the number of months in the year covered by the policy). This would be $3,300 / 3 * 9/12 = $2,200.
Therefore, the insurance expense for the year ending December 31 would be $2,200.
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Total $825 amount of insurance expense will be reported on the annual income statement for the year ended December 31.
In the given question, on April 1, a company paid the $3,300 premium on a three-year insurance policy with benefits beginning on that date.
We have to find amount of insurance expense will be reported on the annual income statement for the year ended December 31.
The total months between April 1 and December 31 is 9.
Insurance expense for 9 months (from 1 April to 31 Dec) = ($3300/3) *9/12
Insurance expense for 9 months (from 1 April to 31 Dec) = $1100 * 3/4
Insurance expense for 9 months (from 1 April to 31 Dec) = $3300/4
Insurance expense for 9 months (from 1 April to 31 Dec) = $825
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15 points.............
Side HG of ΔIHG is congruent to side CD of ΔBCD.
The correct option is A.
What are congruent triangles?Two triangles are said to be congruent if the three sides and the three angles of both the triangles are equal in any orientation.
Given,
ΔIHG ≅ ΔBCD
By the given figure,
HG ≅ CD
Hence, side HG is congruent to side CD.
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How does an earthquake of magnitude 7.9 compare in intensity with an earthquake of magnitude of 3.5 on the Richter scale?
This means that an earthquake of magnitude 7.9 is 10^4 (or 10,000) times more intense than an earthquake of magnitude 3.5.
What is earthquake?An earthquake is a sudden shaking of the ground caused by the shifting and breaking of large pieces of rock beneath the Earth's surface. Earthquakes can be caused by a variety of factors including the shifting of tectonic plates, volcanic activity, and underground explosions.
An earthquake of magnitude 7.9 is significantly more intense than an earthquake of magnitude 3.5 on the Richter scale. The Richter scale is logarithmic, meaning that each whole number increase in magnitude corresponds to an increase in shaking intensity by a factor of 10. This means that an earthquake of magnitude 7.9 is 10^4 (or 10,000) times more intense than an earthquake of magnitude 3.5.
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Triangle EFG has vertices E(0, 7), F(−5, −1), and G(3, 0). Find the coordinates of the image of points E', F', and G' after a reflection across the x-axis.
Answer:
see explanation
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
E (0, 7 ) → E' (0, - 7 )
F (- 5, - 1 ) → F' (- 5, - (- 1) ) → F' (- 5, 1 )
G (3, 0 ) → G' (3, 0 ) ← unchanged as G is on the x- axis
Use the rate to find how many As are needed for Bs, then write the ratio.
The number of As that are needed for 12Bs will be 6 and the ratio is 1:2.
How to illustrate the ratio?It should be noted that ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
It was Illustrated that the rate relating A to B is 1/2 and we want to use the rate to find how many As are needed for 12Bs.
From the information, the rate relating A to B is 1/2. The number of As that are needed for 12Bs will be:
= 1/2 × 12.
= 6
Therefore, there'll be 6 As that are needed.
The ratio is:
= 6 / 12.
= 1 / 2
= 1:2.
The ratio is 1 / 2.
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Complete question
The rate relating A to B is 1/2. Use the rate to find how many As are needed for 12Bs, then write the ratio.
How to find the y intercept of this equation
Answer:
Set x equal to zero and then simplify
Jessica opened a savings account with $40.00.
She is going to add $20 per week over the twelve weeks of summer. She will close the account when the summer is over.
Which expression would be an appropriate domain for this situation?
A. x≥0
B. x≥12
C. 0≤x≤12
D. 0≤x≤40
Answer:
C. 0≤x≤12
Step-by-step explanation:
Please help I’ll give brainliest if it’s correct!!! What is the slope of the line that passes through the points (-5,4) and (3,2)
-1/4 is the slope of the line that passes through the points (-5,4) and (3,2)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-5, 4) and (3, 2)
Slope m=2-4/3+5
=-2/8
2 and 8 are multiples of 2, so divide numerator and denominator by 2
=-1/4
Hence, -1/4 is the slope of the line that passes through the points (-5,4) and (3,2)
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Create a relation with 5 coordinates that is a function. Create the mapping for your relation
The mapping of the relation will be :
(Domain) ⇒ (Range)
1 → 2; 2 → 4; 3 → 6; 4 → 8; 5 → 10
What is Mapping ?In order to have ordered pairs of the kind, relations and functions provide a mapping between two sets (Inputs and Outputs) (Input, Output). In algebra, relationship and function are crucial ideas. Both in real life and in mathematics, they are often utilized. To further comprehend the significance of each of these relational and functional concepts, let's describe them.
In order to have ordered pairs of the kind, relations and functions provide a mapping between two sets (Inputs and Outputs). In algebra, relationship and function are crucial ideas. Both in real life and in mathematics, they are often utilized. To further comprehend the significance of each of these relational and functional concepts, let's describe them.
If each element x∈R has a distinct R-relative, resulting in R[x] consisting of a single element, then the relation R is referred to be a mapping (map), a function, or a transformation. This distinct component is known as the function value at x and is indicated by the symbol R(x) (under R). R[x] therefore only has one member, R(x).
Let us consider a domain for x ∈ N
The R ⇒ R is defined for f(x) = 2x ; x≤ 5
f(x) = 2x
will have a domain of 1, 2, 3,4, 5 and The value of the function will be
f(x) = 2, 4, 6, 8, 10 .
So, the 5 coordinates of the relation is {(1,2), (2,4), (3, 6), (4,8), (5, 10)}
The mapping of the relation will be :
(Domain) ⇒ (Range)
1 → 2; 2 → 4; 3 → 6; 4 → 8; 5 → 10
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The mapping of the relation will be :
(Domain) ⇒ (Range)
1 → 2; 2 → 4; 3 → 6; 4 → 8; 5 → 10
What is meant by map?
A map is a sign that emphasises the connections between various components of a space, such as locations, themes, or objects.Some maps are dynamic or interactive, while others are static and attached to paper or another long-lasting material.Maps can represent any location, actual or imagined, without respect to context or scale, as seen in brain mapping, DNA mapping, or computer network topology mapping, despite the fact that they are most frequently employed to describe geography.The space that is being mapped can be two dimensional, like the earth's surface, three dimensional, like the earth's interior, or even more abstract spaces of any dimension, like those that emerge when modelling phenomena with lots of independent variables.Let us consider a domain for x ∈ N
The R ⇒ R is defined for f(x) = 2x ; x≤ 5
f(x) = 2x
will have a domain of 1, 2, 3,4, 5 and The value of the function will be
f(x) = 2, 4, 6, 8, 10 .
So, the 5 coordinates of the relation is {(1,2), (2,4), (3, 6), (4,8), (5, 10)}
The mapping of the relation will be :
(Domain) ⇒ (Range)
1 → 2; 2 → 4; 3 → 6; 4 → 8; 5 → 10
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Two spherical balls have volumes in the ratio of 27:1. What is the ratio of their surface areas?
Their surface areas are arranged in a 3:1 ratio.
The ratio of two spherical balls' volumes is 27:1. This means that the radius of the larger ball is 3 times that of the smaller ball. The surface area of a sphere is proportional to the square of its radius, so the ratio of their surface areas is the square of 3, or 3:1. To calculate the surface area of a sphere, use the formula 4πr^2, where r is the radius of the sphere. For the larger ball, the surface area is 4π(3r)^2, and for the smaller ball, the surface area is 4π(r)^2. Dividing the larger ball's surface area by the smaller ball's surface area gives us the ratio of their surface areas, which is 3:1.
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Determine the ratio of the surface area to volume for each cylinder
The ratio of the surface area to volume of each cylinder are:
1. 933/ 1909
2. 56/115
Surface area and volume of a cylinder.
The surface area of a cylinder is the sum of all its surfaces.
Surface area of a cylinder = 2[tex]\pi[/tex]r^2 + 2[tex]\pi[/tex]rh
The volume of a cylinder implies the amount of substance that it can contain.
volume of a cylinder = [tex]\pi[/tex]r^2h
1. The surface area of the cylinder = 2[tex]\pi[/tex]r^2 + 2[tex]\pi[/tex]rh
= 2[tex]\pi[/tex]r(r + h)
= 2*22/7*9(9 + 7.5)
The surface area of the cylinder = 933.43 sq. cm
ii. Volume of the cylinder = [tex]\pi[/tex]r^2h
= 22/7*9^2*7.5
volume of the cylinder = 1909.29 cubic centimeters
iii. The ratio of the surface area to its volume = 933.43/ 1909.29
= 933.43/ 1909.29
2. The surface area of the cylinder = 2[tex]\pi[/tex]r^2 + 2[tex]\pi[/tex]rh
= 2[tex]\pi[/tex]r(r + h)
= 2*22/7*5(5 + 23)
= 880 sq. cm
The surface area of the cylinder = 880 sq. cm
ii. Volume of the cylinder = [tex]\pi[/tex]r^2h
= 22/7*5^2*23
volume of the cylinder = 1807.14 cubic centimeters
iii. The ratio of the surface area to its volume = 880/ 1807.14
= 56/115
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What is quadratic example?
The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.
What is quadratic example?Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.
The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0
The terms a, b, and c are also referred to as quadratic coefficients.
'Examples of Quadratics
x² –x – 9 = 0
5x² – 2x – 6 = 0
3x² + 4x + 8 = 0
-x² +6x + 12 = 0 (an example of non-quadratic equation is x³ − x² − 5 = 0)
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The length of the base of an isosceles triangle is x. The length of a leg is 3x + 2. The perimeter of the triangle is 39. Is there enough information to solve for x? if so, find x.
The length of the base of an isosceles triangle is 7
as given in the question,
the length of base be x
the length of the leg is 3x+2
the perimeter of the isosceles triangle is 39
Therefore, an isosceles triangle which has two equal sides or legs as well as two equal angles. The Greek words iso means same and skelos are the source of the name leg. An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
If the length of
In an isosceles triangle,
The length of the two legs or sides is the same. The other leg is therefore 3x+2 if one leg is the other is also 3x+2.
The triangle's three sides add up to its perimeter
that is
=> x + (3x+2) + (3x+2) = 39
=> 7x + 4 = 39
=> 7x = 35
=> x = 5
the value of x is 7
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The length of the base of an isosceles triangle is x = 7
Yes, there is enough information to solve for x. The perimeter of an isosceles triangle is the sum of all its sides. Since the perimeter is given and two sides are known, it can be expressed as follows:
x + (3x +2) + (3x +2) = 39
Solving for x,
5x + 4 = 39
5x = 35
x = 7
Therefore, the length of the base is 7. This can be verified by substituting the value of x into the equation for the perimeter, which would yield a result of 39.
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