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3 years ago

15

Find the slope of the line that passes through (10, 1) and (3, 9). Simplify your answer and write it as a proper fraction, impro

per fraction, or integer.

1 answer:

Mrrafil [7]3 years ago

4 0

Answer:

-8/7

Step-by-step explanation:

slope = change in y/change in x

9-1=8

3-10=-7

slope=8/-7

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(2^8 x 3^−5 x 6^0)−2 x 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 x 2^28

Veronika [31]

$(2^8\cdot3^{-5}\cdot6^0)^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=(2^8)^{-2}\cdot(3^{-5})^{-2}\cdot1^{-2}\cdot\dfrac{(3^{-2})^4}{(2^3)^4}\cdot2^{28}\\\\=2^{-16}\cdot3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot2^{28}\\\\=2^{-16}\cdot2^{28}\cdot2^{-12}\cdot3^{10}\cdot3^{-8}\\\\=2^{-16+28+(-12)}\cdot3^{10+(-8)}\\\\=2^0\cdot3^2=1\cdot9=\boxed{9}\\\\Used:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}\\\\a^{-n}=\dfrac{1}{a^n}$

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4 years ago

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A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?

Karo-lina-s [1.5K]

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume = $\frac{4}{3}\pi (6)^{3}$ = 288π m³

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4 years ago

Given a quadratic function, y=x2+bx+c what happens to the graph when "a" is positive? A.the parabola opens down, the vertex is t

Llana [10]

Answer:

D

Step-by-step explanation:

The parabola opens up. Which means the vertex is the minimum value.

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3 years ago

Please help with this

GalinKa [24]

The answer is 20

Reason: so the W is 4 and the L is 6 so you do 4+4=8 then you do 6+6=12 then you add the two together and get 20

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3 years ago

Pls help me complete this

s2008m [1.1K]

Answer:

wow thats alot of "stuff"

Step-by-step explanation:

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3 years ago

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