Answer:
Area of the base = 24 cm²
Height of the prism = 5 cm
Volume of the prism = 120 cm³
Answer:
(2v +7)(v -9)
Step-by-step explanation:
Factors of 2·(-63) = -126 that have a sum of -11 are 7 and -18, so we can rewrite the middle term to -18v+7v. Then we can factor by grouping.
2v^2 -18v +7v -63 = 2v(v -9) +7(v -9)
= (2v +7)(v -9)
If x = 8, then the factor is (x - 8); likewise, if x = -5, then the factor is (x + 5). FOIL those together and get B
Both are similar, so Yes.
-All the sides of the squares are equal
-The triangles are also the same, just one is smaller. The one on the right is 2/3 of the one on the left.
Answer:
y = -3x + 7
Step-by-step explanation:
Choosing two points from the given table:
Let (x1, y1) = (-3, 16)
(x2, y2) = (-1, 10)
Plug these given values into the slope formula:
m = (y2 - y1)/(x2 - x1)
= (10 - 16) / (-1 - (-3))
= -6 / (-1 + 3)
= -6/2
= -3
Therefore, the slope is -3.
Next, choose one of the points and plug into the <u>point-slope form</u>:
Let's use (-1, 10) as (x1, y1):
y - y1 = m(x - x1)
y - 10 = -3(x - (-1))
y - 10 = -3(x + 1)
y - 10 = -3x - 3
Add 10 on both sides to isolate y:
y - 10 + 10 = -3x - 3 + 10
y = -3x + 7