From the translation described, If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at (-4, 8). See the justification for the same below.
What is a vertex?A vertex is a specific point of a mathematical object that is often where two or more lines or edges intersect. Angles, polygons, polyhedra, and graphs are the most typical places to find vertices. Nodes are another name for graph vertices.
The explanation of the translation is given as follows:
According to the translation rule for translating a point h units left is given as:- (x, y) → (x-h, k)
The translation rule for translating point k units up is given as:
(x,y) → (x, y+k).
Since ∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at (1, 5).
Then,
The vertex A' =
A (-1, 2) → (-1 -3, 2+6)
= (-4, 8)
Therefore, the vertex A' is at (-4,8).
Learn more about Vertex:
https://brainly.com/question/1435581
#SPJ1
From the translation described, the vertex A' is at the point (-4,8).
What is a vertex?A vertex is a specific point of a mathematical object that is often where two or more lines or edges intersect.
Angles, polygons, and graphs are the most typical places to locate the vertices.
The explanation of the translation will be:
Based on the translation rule for translating a point h units left is follows as
(x, y) → (x-h, k)
The translation rule for point k units up is follows as:
(x,y) → (x, y+k).
Since ∆ABC is translated to the 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at; (1, 5).
The vertex A' ;
A (-1, 2)
(-1 -3, 2+6)
= (-4, 8)
Therefore, the vertex A' is at the point (-4,8).
Learn more about Vertex:
brainly.com/question/1435581
#SPJ1
How many ways can four guests sit in a row of six chairs?
Answer:
360
Step-by-step explanation:
There are 6 spaces and 4 people.
_ _ _ _ _ _
The first person to choose a seat can choose any of the 6 seats.
The second person can choose any of the 5 remaining seats.
The third person can choose any of the 4 remaining seats.
The fourth person can choose any of the 3 remaining seats.
Now, we do 6 x 5 x 4 x 3 to figure out the total number of ways they can sit in the seats.
6 x 5 x 4 x 3 = 360 ways
Please help me,
Susan colored in the decimal grid shown below. Right a multiplication expression for the area she colored. Then multiply
AnswerAnswerAnswer:
mutiply 14 by 6704
Step-by-step explanation:
The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
As per the given decimal grid,
The number of colored raw = 8
The number of colored columns = 3
Total grids = 8 x 3 = 24
Hence "The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24".
For more information about multiplication,
brainly.com/question/14059007
#SPJ2
please dont use any big words & give an essay explanation
We want to create a real-life reasonable problem in which we can apply the laws of exponents.
Using a compound interest example;
Word Problem:
Calculate the final value of a $2,000 investment in an account with a 5% interest compounded Quarterly for 5 years.
Solving the word problem;
We have the following parameters;
[tex]\begin{gathered} \text{ Principal P = \$2,000} \\ \text{Rate r = 5\%} \\ \text{Time t = 5 years} \\ \text{ Number of times compounded n = 4} \end{gathered}[/tex]Recall that the formula for compound interest is;
[tex]F=P(1+\frac{r}{n})^{nt}[/tex]Substituting the given values;
[tex]\begin{gathered} F=2000(1+\frac{0.05}{4})^{4(5)} \\ F=2000(1+0.0125)^{20} \\ F=2000(1.0125)^{20} \\ F=2000\times(1.0125)^{20} \\ F=\text{ \$2,564.07} \end{gathered}[/tex]Therefore, the solution to the problem is;
The final
◄) Solve for w.
29 + 17w = 624
W =
Helppp
Answer:
w = 35
Step-by-step explanation:
29 + 17w = 624
subtract 29 from both side
17 w = 595
divide both sides by 17
w = 35
Does anyone know how to write a linear equation to find the length and width of a perimeter? Ex...
Write a linear equation to represent the given problem and then solve the problem.
The perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width. Find the dimensions.
The linear equation that represents the problem is 4w + 30 = 150.
The dimension(width and length) of the rectangle is 30 cm and 45 cm .
How to find the dimensions of a rectangle?A rectangle is a quadrilateral with 4 sides.
Opposite sides of a rectangle are equal to each other.
Opposite sides of a rectangle are parallel to each other.
Therefore,
perimeter of a rectangle = 2(l + w)
where
l = lengthw = widthHence, the perimeter of the rectangle is 150 cm. The length is 15cm greater than the width.
Therefore,
perimeter of rectangle = 150 cm
l = 15 + w
Hence,
150 = 2(15 + w + w)
150 = 2(15 + 2w)
150 = 30 + 4w
Therefore, the linear equation to represent the problem is 4w + 30 = 150.
Let's solve for the dimension of the rectangle.
4w + 30 = 150.
4w = 150 - 30
4w = 120
w = 120 / 4
w = 30 cm
L = 15 + 30 = 45 cm
Therefore,
length = 45 cm
width = 30 cm
learn more on rectangle here: https://brainly.com/question/7725322
#SPJ1
If 4x-y=-10 is a true equation, what would be the value of 6+4x-y
Answer:
-4
Step-by-step explanation:
6 + 4x-y = 6 + (4x-y) = 6 + (-10) = -4
1 - -8= i am having trouble answering it
Answer:
Step-by-step explanation:
2 subtraction symbols equals a plus
so the answer is 9
PLEASE HELP! this is probably easy, THANK YOU!
Answer:
The percent change in attendance from the 2014 to 2015 school year is a 11.5385% decrease, or 12% when rounded.
Make sure to mark as Brainliest if this is correct so others know that this is the correct answer.
Answer:
r u cheating or just need "HELP"
Step-by-step explanation:
What’s the area ? 50 points
Answer:
The area of the figure is 325.17 ft²===============================
The area of the given shape can be found as a sum of three simpler shapes:
Triangle, rectangle and semi-circle.The semi-circle has the radius of 9 ft, its area is:
A = πr²/2 = 3.14*9²/2 = 127.17 ft²The rectangle has dimensions of 9 ft and 26 - 9 = 17 ft, its area:
A = lw = 9*17 = 153 ft²The triangle has bas of 9 ft and height 26 - 9 - 7 = 10 ft, its area is:
A = bh/2 = 9*10/2 = 45 ft²Area of the shape is:
A = 127.17 + 153 + 45 = 325.17 ft²Here is a sketch of the unique triangles that can be
made with angle measures 80° and 20° and side
length 5.
PLEASE HELPPPP
ASAAAAPPPPP DUE AT END OF TODAY
Option (B) describes the correct unique possibilities of the given triangle.
What are triangles?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. △ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane. A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same. Triangles can be divided into three types based on the lengths of their sides, and these are Scalene, Isosceles, and Equilateral.So, according to the given image:
We can easily observe that the triangle is an isosceles triangle with base angles being equal and the third angle being the smallest.Then, the correct option about the triangle will be an option (B).Therefore, option (B) describes the correct unique possibilities of the given triangle.
Know more about triangles here:
https://brainly.com/question/28889256
#SPJ13
Multiply and write in standard form: 10x + 3)(2x - 1) Show all work
Explanation
[tex](10x+3)(2x+1)[/tex]Step 1
apply distributive property
[tex]\begin{gathered} (10x+3)(2x+1)=(10x\cdot2x)+(10x\cdot1)+(3\cdot2x)+(3\cdot1) \\ (10x+3)(2x+1)=20x^2+10x+6x+3 \end{gathered}[/tex]Step 2
add similar terms and order
[tex]\begin{gathered} (10x+3)(2x+1)=20x^2+10x+6x+3 \\ (10x+3)(2x+1)=20x^2+16x+3 \\ \text{the standard form is} \\ ax^2+bx+c,so \\ ax^2+bx+c\Rightarrow20x^2+16x+3 \end{gathered}[/tex]so, the answer is
[tex]20x^2+16x+3[/tex]I hope this helps you
Stephanie has 5 pizzas. She shares 4-
of the pizzas with her friends. Estimate how much pizza Stephanie has left.
8
16
02/20
pizzas
O2 pizzas
O
01/P
pizzas
01 pizza
After subtraction we can see Stephanie has only 1 pizzas left.
What is subtraction?
The definition of subtraction is subtracting one number or amount from another. It is addition's opposite operation. Subtraction subtracts a number from another to find the difference, whereas addition adds or groups numbers to find the sum. The word "subtract" can also mean to compare two values to determine how many factors account for a value's difference from another. That is the most fundamental concept behind the term "difference" for the solution to a subtraction problem.
We are given that,
Stephanie has 5 pizzas, Also she shared 4 of the pizzas with her friends
Hence she is left with 5-4= 1 pizza
Hence Stephanie has left with 1 pizza
Therefore the correct option is option D)
To learn more about subtraction please refer
https://brainly.com/question/13378503
#SPJ13
Angel earned $70 mowing lawns, which is 140% of the amount George earned. How much money did George earn?
The total amount earned from mowing lawns by George is $50
How to determine the amount earned by George?From the question, we have the following parameters that can be used in our computation:
Earnings percentage = 140%
Angel total earnings in mowing lawns = $70
The amount earned from mowing lawns by George is then calculated as
Angel total earnings in mowing lawns = Earnings percentage x Total amount earned from mowing lawns by George
Substitute the known values in the above equation
So, we have
70 = 140% x Total amount earned from mowing lawns by George
Divide both sides by 140%
Total amount earned from mowing lawns by George = 50
Hence, the total amount is $50
Read more about rates at
https://brainly.com/question/12652779
#SPJ1
What is the equation of the line that passes through the point (-6, 5) and has a
slope of - 3/2
Answer:
y = - [tex]\frac{3}{2}[/tex] x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{3}{2}[/tex] , then
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 6, 5 ) into the partial equation
5 = 9 + c ⇒ c = 5 - 9 = - 4
y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line
30. Solve for x: 7^/10 = 2, approximate to 4 digitsa. 6.325 b. 3.256 c. 3.265 d. 3.652 e. 3.562
• Solution
[tex]7^{\frac{x}{10}}=2[/tex]
To solve for x, we take the logarithm of both sides.
[tex]\log 7^{\frac{x}{10}}=\log 2[/tex]Applying the law of logarithm to the equation above;
[tex]\log a^b=b\log a[/tex][tex]\begin{gathered} \log 7^{\frac{x}{10}}=\log 2 \\ \frac{x}{10}\log 7=\log 2 \\ \text{Dividing both sides by log 7;} \\ \frac{x}{10}=\frac{\log 2}{\log 7} \\ \frac{x}{10}=\frac{0.3010}{0.8451} \\ \frac{x}{10}=0.3562 \\ \text{Cross multiplying the equation;} \\ x=0.3562\times10 \\ x=3.562 \end{gathered}[/tex]Therefore, the approximate value of x is 3.562
The correct option is E.
Please help me solve this problem
The following table justifies the reasons of each step of the solution by stating the algebraic property that is used to get to each steps
What are algebraic equations?Algebraic equations are defined as mathematical statements in which two algebraic expressions are set equal to each other. An algebraic expression usually consists of a variable, a coefficients and a constants.
Statement Reason
4.5(8-x)+36=102-2.5(3x+24) Given
4.5(8-x)=66-2.5(3x+24) Subtracting 36 from the both sides
36-4.5x=66-7.5x-60 Opening the brackets on the both sides
36-4.5x=-7.5x+6 Subtracting the constants on RHS
36+3x=6 Adding -7.5x on the both sides
3x=-30 Subtracting 36 from the both sides.
x=-10 Dividing by 3 on the both sides.
For more information on algebraic equations, visit:
https://brainly.com/question/953809
#SPJ13
The segments shown below could form a triangle 6 5 8 true or false
It is true to state that segments 6 5 8 could form a triangle. Where AC = 6, CB =5 and BA = 8. See the explanation for the same below.
What is a Triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.
The total lengths of any two sides must always be larger than the length of the third side in order to make a triangle.
This is shown as follows:
6 + 5 = 11 > 8
5 + 8 = 13 > 6
8 + 6 = 14 > 5
Given that the side lengths meet the preceding criterion, a result, the supplied segments may be used to build a triangle.
Learn more about Triangles:
https://brainly.com/question/17335144
#SPJ1
True, the segments 6, 5, and 8 form a triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let ABC is a triangle
AB=6
BC=5
CA=8
To form a triangle the sum of any two sides must be greater than the third side.
AB+BC>CA
6+5>8
11>8
BC+CA>AB
5+8>6
13>6
CA+AB>BC
8+6>5
14>5
It satisfies the condition for forming a triangle.
Hence the segments form a triangle.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
Select the value that make the inequality w≥6 true
Answer:
Every number that is greater than 6
kayla has a deck that measures 4 feet by 21 feet. she wants to increase each dimension by equal lengths so that the area is doubled. how much should she increase each dimension?
Answer:
Increase by 3.
Step-by-step explanation:
4 x 21 = 84
84 x 2 = 168
Begin to try numbers.
5 x 22 = 110
6 x 23 = 138
7 x 24 = 168
7 - 4 = 3
24 - 21 = 3
Increase each side by 3 ft. for a total dimension of 7 ft. x 24 ft.
matthew is thinking about applying for a credit card with a low interest rate. the loan application asks how much he owes on his mortgage and on his existing credit cards matthew used his calculator to figure out these two numbers and they are 2.4e5 and 1.25e4. how much money does matthew owe?(a) $232,500(b) $240,000(c) $252,500(d) $265,000
so:
[tex]240000+12500=252000[/tex]Answer:
(c) $252,500
If 8,x,y ,-4 are in A.p find x and y
Answer:
Step-by-step explanation:
firstly, 8+d=x and y+d= -4 where d is the common difference of the AP.
Also,
x+d=y;
therefore d=y-x;
so,
8+y-x=x (from the first equation)
=>8+y=2x
=>y=2x-8
Now from the second equation,
y+d= -4
(2x-8)+(y-x)= -4
=>x-8+2x-8= -4
=>3x=12
=>x=4
similarly,
y=2(4)-8
=>y=0
The Busy Bee store bottles fresh jars of honey at a constant rate. In 2 hours, it bottles 20 jars, and in 5 hours, it bottles 50 jars of honey.
Determine the constant of proportionality.
(HELP THIS IS OVERDUE !!)
Answer:
9
Step-by-step explanation:
because in one hour it fills 18÷2 =9.
Answer: It's 10 because 20* Divided by 2 is 10
Step-by-step explanation:
What’s the answer plsss
Answer:
8.5 cm
Step-by-step explanation:
See attached worksheet.
Opposite 63 is ML (we are not after that)
Adjacent is MN
Hypotenuse is 18.8
Choose adjacent + Hypotenuse to find MN
AH - CAH, cos
Cos63 = A/18.8
x18. 8
18.8 x Cos63 = A
8.535.... = A
So, MN = 8.5cm
Ans: C
Hope this helps!
Determine the intercepts of the line:
y = 10x - 32
Answer:
The x intercept is 3.2, and the y intercept is -32.
Step-by-step explanation:
give brainiest
y-intercept is -32, x intercept is 3.2
Step-by-step explanation:
y-int is whatever b is in y=mx+b
x-int is whatever makes the equation equal to zero
Please help.
Is the answer ASA, SSS, AAS, or HL
Answer:
SSS
Step-by-step explanation:
We know the length of DE and JK are the same because as shown in the diagram, they are both equal to 15 cm. While we know that EF and KL are congruent because it is shown that both sides are 8 cm long. Even though we are not sure of the exact lengths of FD or LJ, we are aware that they are the same length sue to the ticks found on both sides on the triangles, indicating that they are both the same length.
What’s the answer plss
The length of XY=19.894 cm when the angle XYZ=90° and angle YZX=61° and the length of hypotenuse=17.4 cm. Using the property of trigonometry, a=b.sinα/sinβ.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc).
What is Hypotenuse?The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.
Here,
a=b.sinα/sinβ
=17.4·sin(90°)/sin(61°)
=19.89436 cm
≈19.9 cm
When the hypotenuse is 17.4 cm long and the angles XYZ and YZX are 90° and 61°, respectively, the length of XY is 19.894 cm. Using the trigonometric formula a=b.sinα/sinβ.
To know more about trigonometry,
https://brainly.com/question/28957232
#SPJ13
Given: angle CDE congruent to angle CED,
Angle A = angle B
Prove: DE || AB
Please explain the statement and reasoning
Ex: AB is congruent (the sign) to DE. Given
Ill reward brainliest to the one who explains it best ty
1) [tex]\angle CDE \cong \angle CED, \angle A \cong \angle B[/tex] (given)
2) [tex]m\angle CDE=m\angle CED, m\angle A=m\angle B[/tex] (definition of congruent angles)
3) [tex]m\angle C+m\angle CDE+m\angle CED=180^{\circ}, m\angle C+m\angle A+m\angle B=180^{\circ}[/tex] (sum of angles in a triangle)
4) [tex]m\angle C+2m\angle CDE=180^{\circ}, m\angle C+2m\angle A=180^{\circ}[/tex] (substitution)
5) [tex]m\angle C=180^{\circ}-2m \angle CDE, m\angle C=180^{\circ}-2m\angle A[/tex] (subtraction)
6) [tex]180^{\circ}-2m \angle CDE=180^{\circ}-2m \angle A[/tex] (transitive)
7) [tex]-2m\angle CDE=-2m\angle A[/tex] (subtraction)
8) [tex]m\angle CDE=m\angle A[/tex] (division)
9) [tex]\angle CDE \cong \angle A[/tex] (definition of congruent angles)
10) [tex]\overline{DE} \parallel \overline{AB}[/tex] (converse of corresponding angles theorem)
This is the only question I’m stuck on can someone explain and help me
Answer:
x = 58°
∠P = 58°
∠PQR = 64°
Step-by-step explanation:
If you add the two nonadjacent angles together they will equal the exterior angle. Setup up an equation using that info.
[tex]58 +x=2x[/tex]
Solve for x.
[tex]58 +x-x=2x-x\\58=x[/tex]
Since ∠P is the same as x, ∠P = 58°
To find ∠PQR, add ∠P and ∠R together and then subtract from 180°. You subtract from 180° because the sum of the three angles of a triangle equal 180°.
58 + 58 = 116
180 - 116 = 64°
∠PQR = 64°
Question 5
The equation 2x² - 8x = 10 is rewritten in the form of 2(x-p)²+ q = 0. What is the value of q?
-18
2
-2
18
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation -2x²-8x = 10 consists of the two equations is rewritten in the form of 2(x-p)²+ q = 0. , which are separated by the 'equal' sign.
What are two illustrations of equations?Answer :q = -2
-2x²-8x = 10 (divide both sides by -2)
x² + 4x = -5 (Apply completing the square method)
x² + 4x + (4/2)²= -5 + (4/2)²
x² + 4x + 2²= -5 + 2² (reduce left hand side using a²+2ab+b² = (a+b)² )
(x+2)² = -5 +4
(x+2)² = -1
(x+2)² + 1 = 0 (multiply both sides by -2)
(-2)(x+2)² + 1 (-2) = 0
-2[x - (-2)]² + (-2) = 0 ---> compare this with -2(x-p)² + q = 0
We can see that p = 2 and q = -2
To Learn more About equation, Refer:
https://brainly.com/question/22688504
#SPJ13
given l || m || n, find the value of x
Answer:
x = 10
Step-by-step explanation:
(5x + 3) and 53 are corresponding angles and are congruent , then
5x + 3 = 53 ( subtract 3 from both sides )
5x = 50 ( divide both sides by 5 )
x = 10
The value of 'x' is highlighted in the box
