answer.
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
____ [38]
2 years ago
8

The coordinates of △ABC are A(−11,7), B(−5,−3), C(−2,3). After a dilation, the coordinates are A'(22,−14), B'(10,6), C'(4,−6). F

ind the scale factor.
Mathematics
1 answer:
otez555 [7]2 years ago
7 0

Answer:

-2

Step-by-step explanation:

Before a dilation you have the point (x,y).

After a dilation of a scale factor of r you have (r*x,r*y).

Let's look at one pair of corresponding points.

A(-11,7)  and A'(22,-14)

We need to figure out what we can multiply to -11 to get 22.

We need to figure out what we can multiply to 7 to get -14.

Hopefully it is the same number or this isn't a dilation.

So to get from pre-image to image you need to multiply by -2 because -11*-2=22 and 7*-2=-14.

The scale factor is -2.

The dilation is this: (x,y)->(-2x,-2y)

You might be interested in
Santino fires a paintball 3 meters from the ground such that the initial trajectory is perfectly horizontal. Assume the paintbal
Nastasia [14]
The Answer is 160m/s
7 0
1 year ago
Whole numbers are written on cards and then placed in a bag. Pilar selects a single card, writes down the number, and then place
tatuchka [14]

Answer:

The answer is A (i just took the test)

Step-by-step explanation:

Answer: The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment

The outcomes are: 1 2 3 4 5

The Relative Frequency: 0.05   0.35   0.26   0.13     0.21

As you can see the outcomes do not appear to be equally likely since 0.05 and 1 are not close in number range along with the other options

6 0
2 years ago
Read 2 more answers
Study the steps used to solve the equation. Given: StartFraction c Over 2 EndFraction minus 5 equals 7 Step 1: StartFraction c O
Bas_tet [7]

Answer:

  1. addition property of equality
  2. integers are closed to addition
  3. identity element
  4. multiplication property of equality
  5. commutative property of multiplication; reals are closed to multiplication; identity element

Step-by-step explanation:

<u>Given</u>:

  c/2 -5 = 7

  Step 1: c/2 -5 +5 = 7 +5

  Step 2: c/2 +0 = 12

  Step 3: c/2 = 12

  Step 4: 2(c/2) = 12(2)

  Step 5: c = 24

<u>Find</u>:

  The property that justifies each step of the solution.

<u>Solution</u>:

  Step 1: addition property of equality (lets you add the same to both sides)

  Step 2: integers are closed to addition

  Step 3: identity property of addition (adding 0 changes nothing)

  Step 4: multiplication property of equality

  Step 5: closure of real numbers to multiplication; identity property of multiplication

_____

It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.

In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.

Apart from the arithmetic, the other properties used are properties of equality.  Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.

8 0
2 years ago
Read 2 more answers
What input value produces the same output value for the two functions on the graph ?
Andrej [43]

we know that

The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.

so

the point of intersection is (4,3)

for an input value equal to 4

the output value for both functions is 3

therefore

<u>the answer is the option</u>

X= 4

4 0
2 years ago
Read 2 more answers
Explain which method you used for solving the system of equations in which x represents the number of bottles of water sold and
bogdanovich [222]

Answer: Sample Response :Use the linear combination method.

Multiply the first equation by –2 to create opposite terms for x.

Multiply the first equation by –4 to create opposite terms for y.

Add the system of equations to eliminate a variable.

Step-by-step explanation:

9 0
2 years ago
Read 2 more answers
Other questions:
  • Suppose a laboratory has a 30 g sample of polonium-210. The half-life of polonium-210 is about 138 days. How many half-lives of
    15·2 answers
  • What is the horizontal asymptote for y(t) for the differential equation dy dt equals the product of 2 times y and the quantity 1
    15·1 answer
  • In one to three sentences, describe reliable financial information.
    6·2 answers
  • What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?
    6·1 answer
  • A realtor is studying the graph above, which shows the expected value of properties in her area over the next 24 years. If t rep
    13·1 answer
  • The Hamburger Joint lowered their prices and their sales increased from 1000 hamburgers a week to 2500 hamburgers a week. What i
    9·2 answers
  • A population has a mean of 75 and a standard deviation of 8. A random sample of 800 is selected. The expected value of LaTeX: \b
    10·2 answers
  • What is the circumference of a round pizza with an area of 36 square inches ? step by step like can anyone explain to me in word
    15·1 answer
  • The ratio of the lengths of the sides of △ABC is 3:6:7. M, N, and K are the midpoints of the sides. Perimeter of △MNK equals 7.4
    14·1 answer
  • Let #N mean the number of days in year N. What is the value of #1988 + #1989 + #1990 + #1991?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!