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Musya8 [376]
3 years ago
12

What is the image of ( 4, -8 ) after a dilation by a scale factor of 1/4 centered at the origin ?

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

what we know?:

* scale factor of 1/4

* the point (4, -8)

all we have to do is put 4/4 (because we are dilating by 1/4)

4/4= 1

same for the other one: -8/4= -2

FINAL ANSWER: (1, -2)

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If A = (-1, -3) and B = (11, -8), what is the length of AB ?
nata0808 [166]
For this problem, you need to know the distance formula, as that'll give you the length of the line segment.

distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\ where\ you\ have\ points\ (x_{1},y_{1})\ and\ (x_{2},y_{2}).

Using points A and B, the formula becomes:
A=(x_{1},y_{1})=(-1,-3)\\B=(x_{2},y_{2})=(11,-8)\\x_{1}=-1\\x_{2}=11\\y_{1}=-3\\y_{2}=-8\\\\distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\length\ of\ AB=\sqrt{(11-(-1))^{2}+((-8)-(-3))^{2}}\\\\ length\ of\ AB=\sqrt{(11+1)^{2}+(3-8)^{2}}\\\\length\ of\ AB=\sqrt{(12)^{2}+(-5)^{2}}\\\\length\ of\ AB=\sqrt{144+25}\\\\length\ of\ AB=\sqrt{169}\\\\length\ of\ AB=\pm 13

Length cannot be negative, so the length of AB is 13.
4 0
4 years ago
Sam looked at two points that were graphed on a vertical number line. He saw the points −2 and 1.5. He wrote the following descr
yawa3891 [41]

Answer:

The correct statement would be: The positive number is 1/2 unit less than the opposite of the negative number.

Step-by-step explanation:

All stamemts are true except for the last one:

<em>The positive number is 1/2 unit more than the negative number.</em>

We can see in the plot that 1.5 is above zero and -2 is below zero.

So, -2<1.5

The opposite number of -2 is 2 and we can see that opposite number is 1/2 greater than 1.5. So, -2<1.5<2

<em />

6 0
4 years ago
a box 12 cm long, 5 cm wide and 12 cm height. A cardboard rectangle is inserted along the diagonal to divide the box vertically
Ipatiy [6.2K]

Answer:

The Cardboard dimensions are 13cm in length and 12cm in breadth

Step-by-step explanation:

We can use Pythagoras Theorem to find the length the Cardboard (a²+b²=c²). Let A be 5 and B be 12, we find that C is equivalent to 13. The height is 12, thus the breadth of the Cardboard is also 12. Hope this helps :)

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3 years ago
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Do you do cyberschool by chance?

7 0
3 years ago
A _____________ exists between two variables when the values of one variable are somehow associated with the values of the other
zysi [14]

Answer:

Step-by-step explanation:

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