Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
V = (3.14) (4 in)² (5 in)
V = 251.2 in³
Volume of a cone is:
V = ⅓ πr²h
V = ⅓ (3.14) (4 in)² (15 in)
V = 251.2 in³
The volumes are equal.
Point of Y intercept is (0,4)
Y1-Y2=m(X1-X2)
Plug in x,y into X2, Y2 m=slope
y-4=2(x-0)
y-4=2x
y=2x+4
Table
Plug in for x and y
x. y
0. 4
1. 6
2. 8
X² + 10x +2 = 0 .Complete the square of (x² + 10x + ??)
We know that (10x) is equal to twice the square root of the 1st (x) by ??
10x = 2.x.(??) and ?? = 5 and its square is 25. Then I have to add 25 and subtract 25 so that not to change the equation:
(x² + 10x + 25) -25 +2 =0
(x+5)² -23
Answer : 96
x – y = 16
--------> equation 1
x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation
Take common denominator to combine fractions
Add 8 on both sides
Multiply both sides by
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.