3 years ago

Contestants in a dance a-thon rest for the same amount of time every hour. A couple rests for 21 minutes

Mathematics

1 answer:

Ksju [112]3 years ago

4 0

Set 21 minutes over 3 hours to equal to x over 8 hours

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What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14

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Answer:

4x - y = -5

Step-by-step explanation:

The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

4x - y = 14 becomes 4x - y = C

Now substitutte -2 for x, -3 for y and calculate C:

4(-2) - (-3) = C, or

-8 + 3 = C = - 5

Thus, the new equation is 4x - y = -5

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The state sales tax in one state is 5.5%, or 0.055. The state sales tax in a second state is 6%, or 0.06. How much greater was t

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Step-by-step explanation:

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Answer:

The correct option is D.

Step-by-step explanation:

It is given that Issouf claims that the scale factor is 1/2.

From the given figure it is clear that

$CB'=C'B'=2$

$B'B=6$

$CB=CB'+B'B=2+4=6$

The scale factor of a figure is

$k=\frac{\text{Length of any side of image}}{\text{Length of corresponding side of preimage}}$

$k=\frac{C'B'}{CB}$

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

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

The scale factor is 1/3 because CB is actually 2 + 4 = 6.

Therefore the correct option is D.

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The answers are B, E, and F.

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