3 years ago

Could u answer all and explain it to me?

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

3 0

I got the same book with those same answers ima bout to get it ok

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Pre-image point N(6, -3) was dilated to point N'(2, -1). What was the scale factor used?

blagie [28]

Question 1

Let the scale factor be k.

Then, we have the mapping

$N(6,-3)\to N'(6k,-3k)$

This implies that:

$(6k,-3k)=(2,-1)$

We equate any corresponding component find the value of the scale factor k.

6k=2

$k=\frac{2}{6}$

$k=\frac{1}{3}$

Hence the scale factor is $\frac{1}{3}$

Question 2:

The midpoint of any two points can be calculated using the formula;

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

We want to find the midpoint of (-8, 5) and (2, -2).

$(\frac{-8+2}{2}, \frac{5+-2}{2})$

$(\frac{-6}{2}, \frac{3}{2})$

The midpoint is:

$(-3, \frac{3}{2})$

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3 years ago

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A box has a length of 4 inches and a width of 8 inches. If the volume is 192 cubic inches, what is the height of the box?

melamori03 [73]

C) 6 inches

4•8=32
192/32 = 6

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What is 7 over 100 simplified

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7/100 is already simplified as 7 is a prime number.

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What is the probability of rolling a sum 12 on a six sided dice?

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Write an explicit formula for An, the nth term of the sequence 7, 42, 252, ...

AlekseyPX

Answer:

Step-by-step explanation:

This is a geometric progression.

Givens

a1 = 7

r = 6

Formula

a_n = a1 * r^(n - 1)

a_n = 7 (6)^(n - 1)

Sample

Try n = 3

a_3 = 7*(6)^(3-1)

a_3 = 7*(6)^2

a_3 = 7 * 36

.a_3 = 252 which is exactly what it should be.

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3 years ago