Answer:
56
Step-by-step explanation:
After inserting the given values, u + xy becomes (2) + (9)(6), or 2 + 54, or 56.
Answer: x = 16
Step-by-step explanation:
If RQ is the bisector, that means the angle is cut in half. Therefore angles PRQ and QRS are equal to each other.
4x+6 = 7x-42
subtract 7x from both sides
-3x+6 = -42
subtract 6 from both sides
-3x = -48
divide both sides by -3
x = 16
If the points are
collinear, then that would mean that the points lie on the same line when joined
to each other. In order to confirm this, the distances between the points must
sum up to the length of the line.<span>
AB + BC = AC
7 + 4 ? 9
11 ≠ 9
<span>Since they do not sum up, therefore, the points are not
collinear.</span></span>
Answer:
<em>128</em>
Step-by-step explanation:
<em>Method A.</em>
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
<em>Method B.</em>
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128