Answer:
7 x 4 = 28
28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28
4 x 5 = 20(area of square in the middle)
5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)
Now lets add the given areas:
28 + 20 + 80 = 128 square is your answer.
The equation of the line will be y = 4x. Then the correct option is A.
<h3>What is the equation of line?</h3>
The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
Writing an Equation from a Table
A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 24, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.
Then at (2, 8) and (3, 12), we have
y – 8 = [(12 – 8) / (3 – 2)] (x – 2)
y – 8 = 4x – 8
y = 4x
Then the correct option is A.
More about the equation of line link is given below.
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Answer:
63
Step-by-step explanation:
First, I wrote the fraction as 1 63/100. I believe this is simplest form so the numerator is 63.
Answer:
n = 13.
Step-by-step explanation:
Slope of the line = (10-1)/3-0) = 3
So the equation of the line is:
y - 1 = 3(x - 0)
y = 3x + 1
When x = 4 y = n, so:
n = 3(4) + 1 = 13.
n = 13.
To find the area between the x-axis and the parabolic curve, take the integral of the area in which the curve is above the x-axis.
function of the graph is
y = 4x - x²
We can tell by the function (specifically -x²) that the parabola will point downward.
To find the domain in which y>0, let's find the roots (0's) of the function:
0 = 4x - x²
0 = x (4 - x)
x = 0 or x = 4
Between x=0 and x=4, the curve is above the x-axis. To find the area of the graph, let's take the integral on this range:
First, take the antiderivative of 4x - x²:
2x² - (1/3) x³
Then, plug x=4 into the anti-derivative, and subtract the anti-derivative at x=0:
2(4)² - (1/3)(4³) - (0 - 0)
32 - 64/3
96/3 - 64/3 = 32/3
Closest Answer is C) 10