Answer:
The height of the triangular prism is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the triangular prism is equal to

where
B is the area of the triangular base
h is the height of the prism
<em>Find the area of the base B</em>

we have


substitute and solve for x


Answer:
125 - n
Step-by-step explanation:
n is unknown.
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 6 ← is in slope- intercept form
with slope m = 
Parallel lines have equal slopes , then
y =
x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y =
x - 4 ← equation of parallel line
-------------------------------------------------------------------
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, then
y = -
x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = -
+ c ⇒ c = 2 +
= 
y = -
x +
← equation of perpendicular line
Answer:
Divide both sides by 4
Step-by-step explanation:
Please give brainliest
Answer: x² + 2x - 15
Step-by-step explanation:
<u>Concept:</u>
When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.
<u>Solve:</u>
Given
(x - 3) (x + 5)
Expand parentheses
x² + 5x - 3x - 15
Combine like terms
x² + (5x - 3x) - 15
x² + 2x - 15
Hope this helps!! :)
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