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4 years ago

Use absolute value to show the distance on the number line between -12 and -2.

Mathematics

2 answers:

mezya [45]4 years ago

7 0

Answer:

Step-by-step explanation:

Let us draw a number line.

From the line we can find the distance.

Now, from the graph we can see that ,

distance between -12 and -2 is 10

You can find it using absolute value.

Then distance would be

|-12-(-2)|

=|-12+2|

=|-10|

=10

since, |-x|=x

So, the distance is 10

Galina-37 [17]4 years ago

4 0

the distance is 10 hope this helps and hope its correct

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A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The

Kobotan [32]

Answer:

One-fifth

Step-by-step explanation:

step 1

Find the distance between the origin and the point B

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

O (0,0) and B(10, –15)

substitute

$d=\sqrt{(-15-0)^{2}+(10-0)^{2}}$

$d=\sqrt{325}\ units$

step 2

Find the distance between the origin and the point B'

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

O (0,0) and B'(2,-3)

substitute

$d=\sqrt{(-3-0)^{2}+(2-0)^{2}}$

$d=\sqrt{13}\ units$

step 3

Find the scale factor of the dilation

The scale factor is equal to divide the length of segment OB' by the length of segment OB

$\frac{\sqrt{13}}{\sqrt{325}}=\frac{1}{5}$

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3 years ago

How much would $200 invested at 6% interest compounded annually be worth after 6 years? Round your answer to the nearest cent.

Neko [114]

$A=P(1+ \frac{r}{n})^{nt}$
A=future amount
P=present amount
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n=number of times per year to be compounded
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