AWARDING EXTRA POINTSWhat is the distance between point A (-3, -2) and Point B (4, -7)?

Mathematics

1 answer:

kenny6666 [7]3 years ago

4 0

Answer:

Hi there!

Your answer is:

8.6 units

Step-by-step explanation:

The distance formula is

√ ( (x2-x1)^2 + (y2-y1)^2 )

In your points:

A (-3, -2)

-3 is x1

-2 is y1

B (4, -7)

4 is x2

-7 is y2

Plug in to distance formula

√ ( 4-( -3))^2 + ( -7 - (-2))^2

√ (4+3)^2 + (-7+2)^2

√ (7^2) + ( -5)^2

√ 49 + 25

√ 74

This equals roughly 8.6 units!

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Answer:

all are Not Equivalent

Step-by-step explanation:

The coefficient of t³ in the target expression is -3. In order for that to be the result of simplifying any of the given expressions, they must have ( )^(t^3) in the denominator. None do, so none of the offered choices is equivalent to the given expression.

_____

The expressions simplify like this:

$\dfrac{(2^3)^{t^3}}{2^{5t}}=2^{3t^3-5t}\\\\\dfrac{8^{t^3}}{32^t}=2^{3t^3-5t}\\\\8^{t^3}\cdot32^t=2^{3t^3+5t}$