Answer:
d = √13
Step-by-step explanation:
d = √((x2 - x1)² + (y2 - y1)²)
points: (-3, 8) & (-1, 5)
d = √((-1 - -3)²+(5 - 8)²)
d = √(2)²+(-3)²
d =√(4 + 9)
d = √13
Answer:
C - 22
Step-by-step explanation:
Put in '3 ' for 'x' in both of the equations....then multiply the results together
f(3) = 3 (3)^2 - 5 = 22
g(3) = -1
22 * -1 = -22
Answer:
The volume of the composite figure is:
Step-by-step explanation:
To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.
<em>VOLUME OF THE CUBE.
</em>
Finding the volume of a cube is actually simple, you only must follow the next formula:
- Volume of a cube = base * height * width
So:
- Volume of a cube = 6 ft * 6 ft * 6 ft
- <u>Volume of a cube = 216 ft^3
</u>
<em>VOLUME OF THE PYRAMID.
</em>
The volume of a pyramid with a square base is:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the base.
</em>
<em>h = height.
</em>
How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:
- Volume of a pyramid = 1/3 36 ft^2 * 8 ft
- <u>Volume of a pyramid = 96 ft^3
</u>
Finally, we add the volumes found:
- Volume of the composite figure = 216 ft^3 + 96 ft^3
- <u>Volume of the composite figure = 312 ft^3</u>
You can form 2 and then you have the odd one out.
