Answer:
Step-by-step explanation:
First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.
The area of the triangle is given by the formula:
where b is the base: 
and h is the height: 
thus, in this case we have:
And now, the volume will be the area of the triangle multiplied by the length 
of the prism:
Substituting the known values:
The volume in cubic centimeters is 150.
Answer:
The y-intercept to the given line equation y=3x+15 is (0,15).
Step-by-step explanation:
Given line equation is y=3x+15
To find the y-intercept from the given line equation y=3x+15:
y-intercept when x=0
That is substitute x=0 in the given line equation
y=3x+15
y=3(0)+15
y=0+15
y=15
Therefore y=5
The point (0,15) on the graph where the line y is intersected is y-intercept.
In other words y-intercept is the point (0,15) where the given line equation y=3x+15 crosses the y-axis.
Therefore the y-intercept to the given line equation y=3x+15 is (0,15).
Answer:
x=10
Step-by-step explanation:
90+3x+10+3x+20=180
-90 -10 -20 -120
combine like terms
6x=60
x=10
Answer:
Step-by-step explanation:
A(-10,-3), B(7,14)
slope of AB = (-3-14)/(-10-7) = 1
slope of perpendicular to AB = -1
equation of perpendicular through C(5,12):
y-12 = -(x-5)
y-12 = -x+5
x = -y+17
x-intercept is the value of x when y=0.
x-intercept = 17
(0,17) is a point on CD.
