Answer:
640 yard²
Step-by-step explanation:
From the question,
The surface are of a triangular prism is given as
A = bh+2ls+lb.................. Equation 1
Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s = length of one of the other sides of the triangle
Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.
Substitute these values into equation 1
A = [(12×8)+(2×17×10)+(17×12)]
A = 96+340+204
A = 640 Yard²
Answer:mkay, also yes he did
Step-by-step explanation:
1.Remove the parentheses
2.put -5z and 4z together which makes -9z(negative plus positive equals negative)
3.-9z+ -6z=-3z and 7+8=15
4.15 decided by -3=5
so yes, z=-5
Answer:
the x axis is 10, its interpretation is actually G, so on a graph instead of X and Y you would have G and T
Answer: The two roots are x = 3/2 and x = -2
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Explanation:
You have the right idea so far. But the two numbers should be 3 and -4 since
The -1 being the coefficient of the x term.
This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.
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Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.
If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2
Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x
So we have the factor -x-2 along the top
The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.
We have the factor 2x-3 along the left side.
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The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)
The last thing to do is set each factor equal to 0 and solve for x
- 2x-3 = 0 solves to x = 3/2 = 1.5
- -x-2 = 0 solves to x = -2
The two roots are x = 3/2 and x = -2
The expressions D, E, and F represent a correct solution to the equation.
Step-by-step explanation:
Step 1:
First, we need to solve the given equation and find the value of x which satisfies the equation.


So the value of x for the given equation is -0.666.
Step 2:
Now we evaluate the values of the six given options to see which ones have an x value of -0.666.
A. 
B. 
C. 20 -6 -4 = 20 - 10 = 10.
D. 
E. 
F. 
So the options D, E, and F represent a correct solution to the given equation.