2 years ago

What is the slope of the line that passes through the points (2, 3) and (8, 6)

Mathematics

1 answer:

Rainbow [258]2 years ago

7 0

Using rise over run and y2 - y1 over x2 - x1, the slope is 3/6, which reduces to 1/2.

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In a circle, what is the ratio of the circumference to its diameter?

NemiM [27]

Answer:

D. pi

Step-by-step explanation:

Circumference of a circle = $\pi d$

Diameter = d

Therefore, ratio of circumference of a circle to its diameter would be:

$\pi d : d$

$= \frac{\pi d}{d} = \pi$ => (d cancels d)

Therefore, the ratio of the circumference of a circle to its diameter is $\pi$

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3 years ago

The pythagorean theorem equation

nikklg [1K]

A^2+b^2=c^2
Is the Pythagorean theorem

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gogolik [260]

The correct answer is below:

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2 years ago

Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should b

joja [24]

Width = x
length = x+10

Area of deck = 144 square feet

Area = length * width

144 = x(x+10)

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x²+10x = 144
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Factor:
(x+18)(x-8) = 0

Solving for x:
x = 8, x = -18

Dimensions cannot be negative, therefore x = 8, only.

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2 years ago

What is the simplified form of the following expression? 10abc^2 sqrt 49a^2b^2c^2

Elodia [21]

$10abc^2\sqrt{49a^2b^2c^2}=70a^2b^2c^3$

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

$10abc^2\sqrt{49a^2b^2c^2}$

$\sqrt{49a^2b^2c^2}=7abc$

$7\cdot \:10aabbc^2c$

$70aabbc^2c$

$70a^2bbc^2c$

$70a^2b^2c^2c$

$70a^2b^2c^3$

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2 years ago

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