Answer:
The volume of a prism on its own = 248.5cm^3
The volume of a cylinder = 87.92cm^3
Step-by-step explanation:
The volume does not change for the prism as the hole was drilled.
We can show the drilled space with v(l) and (p) for prism V
v(l) 248.5p - 87.92p + 87.92p
= 248.5p
Answer:
m=4/3 and b=5
Step-by-step explanation:
We want to find the equation of the line passing through (3,9) and (6,13).
We determine the slope using:
Let:
We substitute the points to get:
We now use the formula:
We substitute to get:
Multiply through by 3 to get;
We expand further to get:
This implies that:
We solve for y to get:
Therefore m=4/3 and b=5
Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
Negative 14 minus 24 is Negative 38. -14 - 24 = -38
Answer:
it's a
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Step-by-step explanation:
