The volume of the prism would be 21
Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5
Answer:
x=2
Step-by-step explanation:
Combine like terms, add 8 to both sides of the equation, simplify, divide both sides by the same term, simplify
Answer:
4x - 11
Step-by-step explanation:
Set the expression.
9x - 7
- (5x + 3)
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First, distribute -1 to all terms within the parenthesis:
-(5x + 3) = -5x - 3
Simplify. Combine like terms.
(9x - 7) + (-5x - 3) = 9x - 5x + (-7) - 3
(9x - 5x) + (-7 - 3)
4x - 11
4x - 11 is your answer.
Answer:
<h2>Translation, then rotation.</h2>
Step-by-step explanation:
If you translate the triangle BCD in such a way that vertex B maps onto vertex W, you'll realize that with rotation, you'll map the whole BCD triangle onto triangle WXY.
On the other hand, reflections can't be used here, because the sides of both triangles are not in opposite positions.
Therefore, the right answer is the third choice.