Point-slope form is y - y1 = m(x - x1). We just need to plug in our stuff. This gives us y - 9 = 4(x - 3). I am not sure if you need to simplify, but if you do, y - 9 = 4x - 12.
Answer:
The shape can be broken into a rectangular prism and a triangular prism.
The volume of the ramp is 24 feet cubed.
Step-by-step explanation:
The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.
The volume of a rectangular prism = Bh
where
B = base area
B = length × width
h = height
volume = 1.5 × 4.8 × 2 = 14.4 ft³
The volume of a triangular prism = base area + slant height
volume = 1/2 b × h × l
where
b = base of the triangle
h = height of the triangle
l = slant height of the prism
volume = 1/2 × 2 × 2 × 4.8 = 19.2/2 = 9.6 ft³
The volume of the ramp = 14.4 + 9.6 = 24 ft³
Answer:
p = -1
x=10
m < 7
Step-by-step explanation:
4(3p + 6 ) = 12
Distribute the 4
12p +24 = 12
Subtract 24 from each side
12p+24-24 = 12-24
12p = -12
Divide by 12
12p/12 = -12/12
p = -1
-5(x -4) = -30
Distribute the -5
-5x+20 = -30
Subtract 20 from each side
-5x+20-20 = -30-20
-5x=-50
Divide by -5
-5x/-5 = -50/-5
x=10
-3m + 15 > -6
Subtract 15 from each side
-3m + 15-15 > -6-15
-3m >-21
Divide by -3 remember to flip the inequality
-3m/-3 < -21/-3
m < 7
Simple drawing shows that measure interior angle at B is 25 degrees.
Easily seen from a drawing are that measure of angle CBD is 25 degrees, and measure of angle CAD is 65 degrees (which was already given).
Heres the plot formula!
