1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jek_recluse [69]
3 years ago
13

Graph the image of rectangle rstu after a dilation with a scale factor of 4, centered at the origin

Mathematics
1 answer:
asambeis [7]3 years ago
7 0

Answer:

T' (4,8)

S' (4,-4)

R' (-4,-4)

U' (-4,8)

Step-by-step explanation:

A dilation is an enlargement if the scale factor is greater than 1 and a reduction if it is less than 1. In this it is an enlargement so you multiply each coordinate by the scale factor which is 4. Since the coordinate for T is (1,2) you multiply 1x4 and 2x4 making the new coordinate (4,8). Since it is a new coordinate you add ' to the letter for the coordinate. Then you do that for the rest of the coordinates and graph it.

You might be interested in
1
ExtremeBDS [4]
It’s 13.1 ft I know cause I did the math all the way it’s 13.1 so yeah
5 0
2 years ago
Adena, Julius, and Tia volunteered to read to children at the public library. Julius worked two hours less than Tia. Adena worke
mafiozo [28]

Answer:

28 hours

Step-by-step explanation:

Adena, Julius, and Tia volunteered to read to children at the public library.

Let us represent, the number of hours worked by

Adena = x

Julius = y

Tia = z

Julius worked two hours less than Tia.

y = z - 2

z = y + 2

Adena worked twice as many hours as Julius.

x = 2y

Altogether they worked 58 hours.

x + y + z = 58.... Equation 1

We substitute 2y for x and y + 2 for z in Equation 1

2y + y + y + 2 = 58

4y + 2 = 58

Collect like terms

4y = 58 - 2

4y = 56

y = 56/4

y = 14

We are the find the number of hours Adena worked which is represented by x

Note that:

x = 2y

y = 14, hence,

x = 2 × 14

x = 28 hours

Therefore, the number of hours Adena worked is 28 hours

4 0
2 years ago
At Pizzazz Pizza, the total price for 5
ira [324]

Answer:

The answer to your question is $9.5

Step-by-step explanation:

Data

Large pizza = L

Medium pizza = m

Write equation for both situations

Situation 1    5L + 2m = 81.5

Situation 2    4L + 3m = 78.5

Solve the system of equation by elimination

Multiply situation 1 by -3 and situation 2 by 2

                    -15L  - 6m = -244.5

                       8L + 6m =  157

                      -7L           = -87.5

Solve for L                  L = -87.5/-7

                                   L = $12.5

Substitute L in Situation 1 to find m

                     5(12.5) + 2m = 81.5

                       62.5 + 2m = 81.5

                                    2m = 81.5 - 62.5

                                    2m = 19

                                      m = 19/2

                                      m = $ 9.5

The prize of a medium pizza is $9.5

8 0
3 years ago
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
melamori03 [73]

Answer:

6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. Therefore, the area of this right triangle is:

A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}

The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

A=\sqrt{s(s-a)(s-b)(s-c)}, where a, b, and c are three sides of the triangle and s is the semi-perimeter (s=\frac{a+b+c}{2}).

The semi-perimeter, s, is:

s=\frac{5+5+4}{2}=\frac{14}{2}=7

Therefore, the area of the isosceles triangle is:

A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}

Thus, the area of the quadrilateral is:

6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}

4 0
3 years ago
A bag of birdseed that normally cost $22.25 is marked up to $25.30. What is the percent markup ?
LenaWriter [7]
25.3-22.25 = 3.05
What percent of 22.25 is 3.05?
22.25x = 3.05
x = .1370786517
It's marked up 13.7%
4 0
3 years ago
Other questions:
  • Which type of question fits a binomial model? A. fill in the blank B. matching C. multiple choice D. true/false
    7·2 answers
  • Joe is playing a game with a regular die. if the number that turns up is even,he will gain 5 times the number that comes up. if
    5·1 answer
  • Pls halp due today >_<. Thank you!
    5·1 answer
  • PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
    12·1 answer
  • Can so.one help me with these 2 questions please ​
    5·1 answer
  • If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
    5·1 answer
  • What is the solution to the equation 4+ 5 = 3-1t+5
    12·1 answer
  • Ada abla burdamisinn​
    12·1 answer
  • Solve for x plsss I need the answer ASAP plsss
    7·1 answer
  • The entrance to the louvre museum in paris is a pyramid made of glass and steel. the height of the pyramid is 22 meters and the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!