If the rectangles are similar, then the ratio of corresponding sides are in proportion.
12/x = 9/8 where x is the length of the smaller rectangle
Cross multiply to get:
9x = 12*8
x = 32/3 which is 10.67 approx
Answer:
32
Step-by-step explanation:
First, do 3+2 to the power of 2 ( which is 3+4 )
Next, Do 12 x 7 ( 84 )
Then divide by 2 ( 84 ÷ 2 = 42 )
Last subtract by 10 to get your answer of 32
On the provided graph, plot the points where the following function crosses the x-axis and the y-axis will be (0, 4) and (1, 0).
<h3>What is a function?</h3>
A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
g(x) = -5ˣ + 5
The graph of the function is given below.
On the provided graph, plot the points where the following function crosses the x-axis and the y-axis will be (0, 4) and (1, 0).
More about the function link is given below.
brainly.com/question/5245372
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The correct option is D:
the curves do not intersect, so there is no solution
<h3>
For what values of x are the two areas equal?</h3>
The area of the rectangle is given by:
f(x) = (x + 7)*(5x - 3)
f(x) = 5x² -3x + 35x - 21
f(x) = 5x² + 32x - 21
For the circle, the area is:
g(x) = 2*pi*(x + 6)^2
g(x) = 2pi*x^2 + 12pi*x + 72pi
The solution is given g(x) = f(x).
By graphing both functions (the green curve is the area of the rectangle, the orange one is the area of the circle). The two curves never do intercept, so the correct option is D.
If you want to learn more about areas:
brainly.com/question/24487155
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The answer to your question is 4 over 9/4 (2 1/2)