c.64 d.24
Answer:
c
Step-by-step explanation:
4³ ( means 4 multiplied by itself 3 times )
= 4 × 4 × 4
= 16 × 4
= 64
Answer:
4^3 = 4 * 4 * 4= 16 * 4 = 64 is the answer
b. 11.9 in2
c. 8.6 in2
d. 4.3 in2
Answer:
47.461632987542
Step-by-step explanation:
My teacher told me it was this answer, don't know how.
Answer:
(7x + 9)(7x -9)
Step-by-step explanation:
Function A Least Rate, Function B, Function C Greatest Rate.
To determine the rate of change of each linear function, we can look at their slopes. The slope of Function A can be found by taking the difference between the y-coordinates of any two points on the line and dividing by the difference between the corresponding x-coordinates. For example, using the points (0, 1) and (2, 4), we can find the slope of Function A as (4-1)/(2-0) = 3/2.
The slope of Function B can be found by using the given intercepts, which means the slope of Function B is -2/3 (as the line passes through the points (0,2) and (3,0)).
The slope of Function C can be found by rearranging the equation y = -3x + 4 into the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. Therefore, the slope of Function C is -3.
Hence, we can see that the slope of Function A is 3/2, which is the least among the given functions. The slope of Function B is -2/3, which is greater than the slope of Function A. The slope of Function C is -3, which is the greatest among the given functions. Therefore, the order of the linear functions based on the rate of change, from least to greatest, would be Function A, Function B, Function C.
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The area A of polygon ABCDEFG with the given vertices is 10 square units
The vertices are given as
A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)
The area of the polygon is calculated using
Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|
So, we have
Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|
Evaluate the sum of products
So, we have
Area = 1/2 * |-20|
Remove the absolute bracket
So, we have
Area = 1/2 * 20
Evaluate the products
So, we have
Area = 10
Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units
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