Answer:
66 cm^3
Step-by-step explanation:
based on the formula for a prism -
<u>height * width * length</u>
which would mean -
<u>2 * 11 * 3</u>
22 * 3
66
volume = 66 cm ^3
hope this helps!!
Answer:
Below in bold.
Step-by-step explanation:
Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.
Here a1 = 5 and d = 8-5 = 3.
So an = 5 + 3(n - 1)
15th term a15
= 5 + 3(15 - 1)
= 5 + 42
= 47.
I think a rectangular prism.
Hope this helped.
Answer:
z=1.5
Step-by-step explanation:
Simplifying
6z + 3 + -4z = 9
Reorder the terms:
3 + 6z + -4z = 9
Combine like terms: 6z + -4z = 2z
3 + 2z = 9
Solving
3 + 2z = 9
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 2z = 9 + -3
Combine like terms: 3 + -3 = 0
0 + 2z = 9 + -3
2z = 9 + -3
Combine like terms: 9 + -3 = 6
2z = 6
Divide each side by '2'.
z = 3
Simplifying
z = 3
Answer:
Line y = –x + 4 intersects the line y = 3x + 3
Step-by-step explanation:
The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.
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<em>Comments on other answer choices</em>
Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.
Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.
