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3 years ago

The ordered pairs (2, -21) and (5, -45) are solutions to which of the following equations?

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

7 0

Answer:

A. y = -8x -5

Step-by-step explanation:

You will notice that when x increases from 2 to 5, y decreases from -21 to a number that is more negative. Thus only the first two answer choices are possibilities, since the others have a positive coefficient for x.

Trying the first given point in the first answer choice, we see that it works:

-21 = -8·2 -5

so, that is the equation we're looking for.

y = -8x -5

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Which figure has the same area as the parallelogram shown below? A. A triangle with a base of 4 mm and a height of 20 mm B. A tr

Arisa [49]

<h2>Answer: A trapezoid with bases of 6 mm and 14 mm and a height of 8 mm </h2>

The parallelogram in the figure has an area of $80mm^{2}$ , according to the following formula, which works for all rectangles and parallelograms:

$A_{parallelogram}=(b)(h)$ (1)

Where $b$ is the base and $h$ is the height

The<u> area of a triangle</u> is given by the following formula:

$A_{triangle}=\frac{1}{2}(b)(h)$ (2)

So, for option A:

$A_{triangle}=\frac{1}{2}(4mm)(20mm)=40mm^{2} \neq 80mm^{2}$

Now, the <u>area of a trapezoid </u>is:

$A_{trapezoid}=\frac{1}{2}(b_{1}+ b_{2})(h)$ (3)

For option B:

$A_{trapezoid}=\frac{1}{2}(15mm+25mm)(2 mm)=40mm^{2} \neq 80mm^{2}$

For option C:

$A_{trapezoid}=\frac{1}{2}(6mm+14mm)(8 mm)=80mm^{2}$ >>>>This is the correct option!

For option D:

$A_{rectangle}=(30mm)(8mm)=240mm^{2} \neq 80mm^{2}$

<h2>Therefore the correct option is C</h2>

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3 years ago

Given sin B = .88 find angle B in radians. Round your answer to the nearest hundredth.

ELEN [110]

Use the inverse sine function on a calculator.

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3 years ago

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Answer:

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Step-by-step explanation:

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1, 2, 3, 4, 6, 9, 12, 18, 36

48 is divisible by:

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Step-by-step explanation:

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3 years ago

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Answer:

0.375

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