Base or base number
for example 2^3 = 2 * 2 * 2 or x^2 = x * x
Answer: 20p³+30p²-13p-12
Step-by-step explanation:
2(-4p-6)-5p²(-4p-6)-5p
-8p-12+20p³+30p²-5p
20p³+30p²-13p-12
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Answer:
The measure of the angles are 72 degrees and 18 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
x -----> the measure of an angle
y-----> the measure of he other angle
we know that
x+y=90 -----> y=90-x -----> equation A
x=y+54 ----> equation B
substitute equation B in equation A and solve for y
y=90-(y+54)
y=90-y-54
2y=36
y=18°
Find the value of x
x=y+54 -----> x=18+54=72°
therefore
The measure of the angles are 72 degrees and 18 degrees
Answer:
Given: Diameter of cone = 38 feet and height of cone = 14 feet.
Volume of cone V with radius r is one-third the area of the base B times the height h.
i,e 
= 
......[1]
,where B = 
First find the radius(r);
Using Diameter(D) = 2r
38 =2r
Divide both side by 2 we get;
Simplify:
19 = r
or r =19 feet
Now, substitute the value of r = 19 feet and h = 14 feet in [1] [ Use value of 
]
then, we have:
or
V = 
or
V = 
≈ 5,294.67 cubic feet.
therefore, the volume of pile is; ≈ 5,294.67 cubic feet.
Answer:
Step-by-step explanation:
The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.
For a left-opening parabola:
x = a(y-k)²+h,
a < 0,
vertex (h,k)
focal length p = 1/|4a|
focus (h-p, k)
directrix: x=h+p
Apply your data
focus (1,-4)
directrix x=2
vertex (1.5,-4).
focal length p = 0.5
a = -1/|4p| = -½
x = -½(y-2)²+ ½
