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1 answer:
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Answer:
9:20
Step-by-step explanation:
Given:
Surface area of shape A = 9 cm²
Surface Area of shape B = 16 cm²
Ratio of volume of shape A to B = 27:125
Required:
Find the ratio of the height of shape A to the height of shape C.
Ratio of surface area (A:B)² = ratio of linear measures (A:B)
Thus,
(A:B)² = (A:B)
(A/B)² = (A/B)
Take the square root of both sides:
Ratio of volume of shape B to C = 27:125
Thus,
(B:C)³ = 27:125
Take the cube root of both sides:
Therefore, ratio of lengths A:B:C =
3:4:C
A:3:5
To make them equivalent, we have:
9:12:C
A:4:20
Therefore, the ratio of the height of shape A to the height of shape C =
9:20
The complete question is
"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."
The correct option from the given function are A; f(x) has a greater slope.
<h3>What is the slope of a line which passes through points ( p,q) and (x,y)?</h3>Its slope would be:
The slope of a function in the form of y = mx + C is m,
So the slope in the function
f(x)=4x+10
m = 4
Now when you have a function but you only have a table to evaluate it, to calculate the slope
(p, q) = (4, 7)
(x, y) = (6, 9)
This means that:
Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,
Thus, f(x) has a greater slope than g(x).
Learn more about slope here:
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