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cricket20 [7]
3 years ago
9

Which statement best describes how the volume of a square-based pyramid is related to the volume of a cube?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

The options are not clearly written but, the volume of square based pyramid is 1/6 the volume of a cube because each of the six faces of the cube will contain one square based pyramid.

Step-by-step explanation:

Let the length of each side of your cube be x

the height of each of the six enclosed pyramids would be x/2. So the volume of each pyramid would be given by:

V = (1/3) × base area × height

V = (1/3) × x^2 × (x/2) = (x^3)/6

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Write the equation of the line that passed through the points (-1,6) and (5,0)
lidiya [134]

Answer: y = -1x + 5

Step-by-step explanation:

1. Plug the coordinates into the slope formula (y2 - y1)/ (x2 - x1)

(0 - 6)/ (5 -(-1))

2. Solve for slope

-6/6

= -1

3. Plug the first coordinate and slope into the point slope form equation (y - y1) = slope(x - x1) to find the rest of the equation of the line

(y -(-1)) = -1( x - 6)

4. Solve for y

y + 1 = -1x + 6 -----> y = -1x + 5

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3 years ago
Solve for y.
posledela

Answer:

y <−2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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What is (f+ g)(x) given that f(x) =-7x^3-1 and g(x)=2x^3+6
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3 years ago
I rlly need help with this gr 11 math problem
prohojiy [21]

Answer:

a) \frac{d-5.50}{0.45}

b) The inverse function is a reflection of the original function across the line

y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.

Step-by-step explanation:

To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).

d = 0.45c + 5.50

Then you solve for c

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