Step-by-step explanation:
Let A(x) be the area function of given rectangle.
Radius of circle = 7x
Therefore, length of rectangle = 14x
Width of rectangle = 7x

Let P(x) be the Perimeter function of given rectangle.

Answer:
216 m³
Step-by-step explanation:
The ratio of linear dimensions is the square root of the ratio of area dimensions.
s = √(216/1014) = √(36/169) = 6/13
Then the ratio of volume dimensions is the cube of that. The smaller volume is ...
v = (6/13)³·2197 m³ = 216/2197·2197 m³ = 216 m³
The volume of the smaller solid is 216 m³.
The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3
<h3>What is function?</h3>
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
According to the question,
The given function is

Here f(x) = -12
Substitute f(x) and solve for x

By subtracting 3 on both sides


By dividing -5 on both sides

We get absolute values for the function.

By subtracting 1 on both sides

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3
Learn more about function here: brainly.com/question/12431044
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Answer:
(a - 3b)(a + 3b)
Step-by-step explanation:
a² - 9b²
(a)² - (3b)²
(a - 3b)(a + 3b)
Answer:
2 is the average rate of change of the function
from
to
.
Step-by-step explanation:
I assume you meant
based off the points.
We are given that
and
are points on this curve.
We are asked to find the average rate of change (the slope) from
to
.
We have the two points needed to find the slope.
We just need to line them up and subtract vertically then put 2nd difference on top of 1st difference.


--------------------Subtracting!

So the slope is
.