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Galina-37 [17]
3 years ago
7

Segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the

origin. Which statement describes the pre-image?
A. segment YZ is located at Y (0, 9) and Z (−18, 9) and is three times the size of segment Y prime Z prime.
B. segment YZ is located at Y (0, 3) and Z (−6, 3) and is the same size as segment Y prime Z prime.
C. segment YZ is located at Y (0, 1.5) and Z (−3, 1.5) and is the one-half the size of segment Y prime Z prime.
D. segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime.

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

D. Segment YZ is located at Y(0,1) and Z(−2,1) and is one-third the size of segment Y'Z'

Step-by-step explanation:

When you dilate a point by a factor of x from the origin, you multiply its coordinates by the same factor.

Thus, if the coordinates of the original point are (1,2) and the scale factor is 3, those of its image are (3,6).

If Y'Z' has endpoints at Y'(0,3) and Z'(-6,3) and was dilated by a factor of 3, the coordinates of the endpoints of the pre-image were ⅓ those of the image.

The figure below shows the segments YZ and Y'Z'.

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A new physical therapy is being tested in an experimental setting to see if
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Answer:

Control Group.

Step-by-step explanation:

A control group, in research, is a group that is not experimented by the researchers in an experiment. A control group is the opposite of an experimental group, on which the independent variable is performed. In other words, an independent variable is held on 'control' in control group.

<u>In the given scenario, the experiment is being performed to test a new physical therapy. To do so, the researchers divided the group in three groups, in which, one group did not receive any treatment; the treatment is held on 'control' in this group.</u>

So, according to the definition provided, the group that did not receive the treatment will be called a control group, thus the correct answer.

3 0
3 years ago
A passenger plane travels at about 7.62 x 10^2 feet per second. The plane takes 1.23 x 10^4 seconds to reach its destination. Ab
vagabundo [1.1K]

Multiply the two values together. 7.62 x 1.23 = 9.3726
10^2 x 10^4 = 10^6.

9.3726 x 10^6 is the answer in Scientific Notation.

6 0
2 years ago
Which of these number sentences is not true
andrew-mc [135]

4,ooo,ooo mm equal 4km

6 0
2 years ago
The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write
FrozenT [24]
The linear model of this case takes the form:

y = a(x-b) + k

<span>The cost of having a package delivered has a base fee of $9.70
this is "k" >>>>>  k=9.7 (fixed amount of fee)

THEN

</span>
<span>Every pound over 5 lbs cost an additional $0.46 per pound

that means: 0.46(x-5)
in other words, if the package weighs foe example 9 pounds, then 9-5=4, it will cost 0.46*4 for these 4 extra pounds

Finally we have the linear form of this: C = 0.46 (W - 5) + 9.7
</span>
3 0
3 years ago
If f(x) = -7x+2 and g(x) = square root of x+3,<br> what is (fºg)(-2)?
Degger [83]

Answer:

(fog)(-2)=-5

Step-by-step explanation:

Given

f(x)= -7x+2

and

g(x)= √(x+3)

For finding (fog)(-2), we have to find (fog)(x) first

In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.

(fog)(x)= -7g(x)+2

Putting the value of g(x)  

(fog)(x)= -7√(x+3)+2

We have to find (fog)(-2), so we have to put at the place of x in the composition

(fog)(-2)= -7√(-2+3)+2

(fog)(-2)= -7√1+2

= -7(1)+2

= -7+2

=-5

So,

(fog)(-2)=-5

6 0
3 years ago
Read 2 more answers
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