3 years ago

Simplify the expression: 6(1 + 2b) =

Mathematics

1 answer:

timama [110]3 years ago

5 0

Answer:

6+12b

Step-by-step explanation:

i took a test with this question and got it right

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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

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

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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

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

One-fifth

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Step-by-step explanation:

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Step-by-step explanation:

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