A figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a vertex located at (3, 4)?

Answers

Answer 1

Answer:

(9,12).

Step-by-step explanation:

If a figure dilated by a scale factor of k and origin is the center of dilation, then the relation between point and its image is defined as

[tex]P(x,y)=P'(kx,ky)[/tex]

It is given that a figure is dilated by a scale factor of 3 and origin is the center of dilation. So,

[tex]P(x,y)=P'(3x,3y)[/tex]

We need to find the image of a vertex located at (3, 4). So, substitute x=3 and y=4 in the above rule of dilation.

[tex]P(3,4)=P'(3(3),3(4))[/tex]

[tex]P(3,4)=P'(9,12)[/tex]

Therefore, the image of a vertex located at (3, 4) is (9,12).

Answer 2

Answer: 9,12

Step-by-step explanation:


Related Questions

Find AB
picture is attached

Answers

Answer: AB = 15 units long.

Step-by-step explanation:

The triangles are identical.

You can infer this from both triangles sharing the side of BD and AD and CD marked as equal in length.

When triangles are identical, all three sides and angles are identical in length and measure, respectively.

Knowing this, we can set the sides of "5x" and "4x + 3" equal to each other in an equation to solve for x:

5x = 4x + 3

x = 3

When x equals 3, multiply x by 5 to find the side length of AB.

AB = 15 units long.

Is 5.130 greater than 5.13

Answers

Answer:

They are equal

Step-by-step explanation:

5.130 is equal to 5.13 because you simply added a zero onto the end of 5.13.

Adding a zero after a decimal is like adding a zero in front of an integer.

1.5 = 1.50

5 = 05

They are equal to one another


Can anyone help me solve this question thanks?

Answers

This is the answers: X^2+8x+15

Answer:

X^2 + 8x + 15

Step-by-step explanation:

The only like terms are 5x and 3x so you add those together and sinse no other terms are similar you leave the answer at x^2 + 8x +15.

What’s the slope of the equation y = x + 6

Answers

Answer:

m (slope)=1

Step-by-step explanation:

y=x+6(m is always found in front of X so m=1)

Answer: 1

Step-by-step explanation: This equation is written in y = mx + b form.

The slope of the line will be the coefficient of the x-term.

Remember, the coefficient is the number in front of the variable.

Notice that the x does not have a coefficient.

When that happens, when there is no number in front

of your variable, you can put a 1 there to fill that position.

So the slope of the line will is 1.

PLEASEEEE HELP MEEEE

Answers

Answer:

(0.5,0) , (-3,0) ,and (0,-1.5)

Step-by-step explanation:

Just look where the points touch the x- and y-axis.

It touches twice on the x- and once on the y-axis.

Hope that helps!

Which of the following equations has the same solution as m - (-62) = 45?

1.)25 - x = 8
2.)120 + x = 13
3.)120 - x = 13
4.)x + 25 = 8

Answers

Answer:

the answer to this is option 4.

Answer:

4, x = -17

Step-by-step explanation:

Each of the 108 students attending a conservatory of music plays at least one of the​ piano, harp, and clarinet. 67 play the​ piano, 46 play the​ harp, 32 play the​ clarinet, 19 play the piano and the​ harp, 13 play the harp and the​ clarinet, and 8 play the piano and the clarinet. How many play all three​ instruments? Hint​: Let x represent the number of students who play all three instruments.

Answers

Answer: 76

Step-by-step explanation:

In a class of 40 students, 8 are in the drama club and 12 are in the art club. If a student is selected at random, what is the probability that the selected student is...
1
...in the drama club?
1
...in the art club?

Answers

Answer:

20 percent for drama club

30 percent for art club

Answer:

p(drama club) = 1/5

p(art club) = 3/10

Step-by-step explanation:

Total number of students = 40

Number of students in drama club = 8

p(drama club) = 8/40 = 1/5

Number of students in art club = 12

p(art club) = 12/40 = 3/10

What is a 3 sided polygon with at least two sides the same length??

Answers

Answer:

An isosceles triangle

Step-by-step explanation:

An isosceles triangle has 3 sides and has two equivalent sides with the same measure

Answer:

Triangle Isosceles

Step-by-step explanation:

Triangle Isosceles is the 3 sided opygon wich has two sides the same lenght

Adrian and his children went into a bakery and where they sell donuts for $1.50 each and brownies for $2.50 each. Adrian has $40 to spend and must buy a minimum of 20 donuts and brownies altogether. If x represents the number of donuts purchased and y represents the number of brownies purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

10 donuts and 10 brownies

Step-by-step explanation:

In this case we must solve the system of equations that do not say in the statement:

at least 20 must be, therefore:

x + y = 20 => x = 20 - y

1.5 * x + 2.5 * y = 40

replacing:

1.5 * (20 - y) + 2.5 * y = 40

30 - 1.5 * y + 2.5 * y = 40

y = 40 - 30

y = 10

now for x:

x = 20 - 10

x = 10

therefore, to be a minimum of 20, they must be 10 donuts and 10 brownies

Solve for an angle in right triangles
Please help! Thank you!

Answers

Answer:

Angle A = 55.15 degrees

Step-by-step explanation:

cos^-1(4/7)=Angle A

Therefore, Angle A = 55.15 degrees

Answer:

55.15

Step-by-step explanation:

Please help it’s urgent!! Find the sine, cosine and tangent of angle B. Leave answers as reduced fractions.

Answers

Answer:

sin(B) = 4/5

cos(B) = 3/5

tan (B) = 4/3

Step-by-step explanation:

soh cah toa

^^ they got it right

Which is the largest?
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5

Answers

Answer:

1.3 x 1020

Step-by-step explanation:

4.8 x 10-6 = 42

1.3 x 1020 = 1326

3.1 x 10-4 = 27

9.2 x 10-5 = 87

Listen
Cameron is going to the market to buy some vegetables. He has $20 to spend. He plans on buying peppers and onions. If he spends more than $12 on the onions, which inequality
represents the amount of money Cameron can spend on peppers, p?

Answers

Answer:

x = amount of money he spends on peppers

0<x<8

if it's 12 or more dollars than 20-12=8 which can be your greatest number and 0 being the lowest range based on the actual amount spent on onions. make sure to put a line under the inequality signs to show that it can also be equal to the number.

Find the solution to the system of equations.

Answers

Answer:

3x - 2 = -5x + 6

8x = 8

x = 1

y = 3 (1) -2

y = 3 - 2

y = 1

Step-by-step explanation:

Answer:

x = 1 and y = 1

Step-by-step explanation:

We want to find the solution. Our equations are:

y = -5x + 6

y = 3x - 2

Let's set these two equations equal to each other:

-5x + 6 = 3x - 2

8x = 8

x = 1

Substitute this back into any of the two equations to solve for y:

y = 3x - 2

y = 3 * 1 - 2 = 3 - 2 = 1

Thus, the answer is (1, 1), or x = 1 and y = 1.


VOLUME of Rectangle !!
Fill in the blanks -------

1. Length is 6.0, Width is 3.2, HEIGHT ?? ( ANSWER ) total volume 96 cm .
FIND THE HEIGHT HERE !!

2.LENGTH ?? ( ANSWER ) width is 2.0, height 1.1 total volume 22 cm .
FIND THE LENGTH HERE !!

3. length is 12.0, WIDTH ?? ( ANSWER ), Height is 4.0 and the total volume is 120 cm.
FIND THE WIDTH HERE !!

PLEASE....HELP !!! WRITE PROPERLY PLEASE... CORRECT ANSWER PLSS...

Answers

Answer:

see below

Step-by-step explanation:

V = l*w*h

1. V = l*w*h

96 = 6*3.2 h

96 = 19.2h

Divide each side by 19.2

96/19.2 =h

h = 5

2. V = l*w*h

22 = l*2 *1.1

22 = 2.2l

Divide each side by 2.2

22/2.2 =l

10 = l

3. V = l*w*h

120 = 12*w *4

120 = 48w

Divide each side by 48

120/48 = w

w =2.5

anyone please appreciate yall x​

Answers

Answer:

h = 2.5 cm

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular end, h is the length of prism )

Here V = 35 and h = 7, thus

7A = 35 ( divide both sides by 7 )

A = 5 cm²

Thus

A = [tex]\frac{1}{2}[/tex] × 4 × h = 5

2h = 5 ( divide both sides by 2 )

h = 2.5 cm

PLs find x answer will get brainiest

Answers

Answer:

x = 52

Step-by-step explanation:

the right angle means 90 degrees so add 90 and 34 to get 124 then when u subtract from 180 degree (the degrees of a triangle) you get 54 degrees. that means that p has to be 124 degrees. 124 subtracted by 72 is 52. Therefore x is 52.

Which equation can be used to solve for x?
Choose from the Equation Bank!
Please Help!

Answers

Answer:

(2x-4)(x-4)=24*10

Step-by-step explanation:

Last equation from Equation bank

Identify all values that are irrational.
-1/3
-3
13
Pi/3​

Answers

Answer:

pi/3  irrational

Step-by-step explanation:

A rational number is the ratio of two integers

-1/3 is two integers  rational

-3 can be written as -3/1  rational

13 can be written as 13/1  rational

pi/3  pi itself is irrational  and cannot be written as an integer

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown below. Which of the following could be the second equation in his system of equations?

Answers

Answer:

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

P + 2c = 3.25                            Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25                           Solve for one variable

3(-2c +3.25) + 4c = 7.25           Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25                           Substitute

p + 2 = 3.25

p = 1.25

What is the value of y in the product of powers below?
8^3 8^-5 8^y= 8^-2=1/8^2

Answers

Answer:

y=0

Step-by-step explanation:

8^3 8^-5 8^y= 8^-2

We know that a^b * a^c = a^(b+c)

8^(3-5+y) = 8^-2

The bases are the same so the exponents must be the same

-2+y = -2

y = 0

Answer:

0

Step-by-step explanation:

Which expression means the same as “subtract 3 from 7 and then multiply by 4”

Answers

Answer:

4 × (7 - 3)

Step-by-step explanation:

You first subtarct 3 from 7 and then multiply that answer by 4

Answer:

4 × (7 - 3)

Step-by-step explanation:

Which statement is best represented by the inequality d less-than 0.35?
The pen costs less than $0.35.
The pencil costs are greater than $0.35.
The toy costs more than $0.35.
The stamp’s cost is equal to $0.35.

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Graph this function Y=1x+3

Attachment below

Answers

Answer:

(1,3) (2,5)

Step-by-step explanation:

Keep going in a straight line like that. You choose a number for x, multiply with 1, then add 3. like if my x is 4 then 4 times 1 is 4 then i add three so seven, so (4,7)

x²-5x divided by 2
= 0​

Answers

Answer:

x = 10, x = 0

I dont know if you wanted an answer but yeah-

(x^2-5x)/2=0
x^2-5x=0x2
x^2-5x=0
x(x-5)=0
Either, x=0 or x-5=0
x=0 or x=5

solve the equaion
2b+3=2-3(b+3)​

Answers

Answer:

b = -2

Step-by-step explanation:

Hello!

Solve the equation:

2b + 3 = 2 - 3(b + 3)2b + 3 = 2 - 3b - 95b + 3 = -75b = -10b = -2

We can plug it back in to the original equation to see if it works:

2(-2) + 3 = 2 - 3(-2 + 3)-4 + 3 = 2 + 6 - 9-1 = -1

The solution works.

| n | = 3.5 what value for n will make this expression true

This is the I Ready diagnostics.please help me this is due very very soon! Thanks!!

Answers

Answer:

3.5 and -3.5

Step-by-step explanation:

absolute value is the distance from zero to that number so 3.5 and -3.5 should be correct.

Answer:3.5 and -3.5

Step-by-step explanation:

n has absolute value marks, so whatever n is is positive. 3.5 and |-3.5| =3.5

i need to find the value of x in this picture

Answers

m<FJI=90°, so

[tex]x + x + 4 + 3x - 9 = 90 \\ 5x = 95 \\ x = 19[/tex]

Answer: x=19

Answer:

x=73

Step-by-step explanation:

     3x-9+x+4+x=360

     5x-5=360

      5x=360+5

     5x=365

       x=365÷5

     x=73

Correct answers only!


To the nearest cent, how much interest will she earn in 3 years?


Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

1180.12

Step-by-step explanation:

p= 4000

r = 9% =0.09

t =3

plug in into  B = p(1 + r)^t

B = 4000(1 + 0.09)^3

B = 4000(1.09)^3

B =5180.116 round to the 2 decimals

B = 5180.12

make the difference between B, the balance (final amount) and  p, the principal (starting amount) = 5180.12-4000 =1180.12

Read more on Brainly.com - https://brainly.com/question/16685853#readmore

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