Answer:
If a certain cone with a height of 9 inches has volume V = 3πx2 + 42πx + 147π, what is the cone’s radius r in terms of x?
Step-by-step explanation:
V = 3πx2 + 42πx + 147π
V=3π(x2 + 14x +49)
9.42(x2 + 14x +49)
9.42(x2 + 14x +14) -14 + 49= 0
9.42(x + 7)^2 + 35= 0
9.42(9.42(x + 7)^2 = - 35)9.42
(x + 7)^2 = - 35/9.42)
√(x + 7)^2=√- 35/9.42
x + 7 = - 1.927
x= - 1.927 - 7
x= - 8.927
V = 3π(- 8.927)^2 + 42π(- 8.927) + 147π
V=750.69 - 1177.29 + 461.58
<u>V=34.98</u>
h= 9 inches
V = 13πr2h
34.98 = 13(3.14) (r^2) (h)
34.98 = 40.82 (r^2) 9
34.98 = 367.38 r^2
34.98/ 367.38 = 367.38 r^2/ 367.38
0.095= r^2
Answer:
x = 4
Step-by-step explanation:
since it is an equilateral triangle, each angle is 60°. To find x, set up the equation 17x-8=60
17x = 68
x=4
Question 3
if 7x = 28
divide both sides by 7
7x/7 = 28/7
x = 4
This is division property of equality
Question 1
if angle m is 80 degrees the m = 80 degrees
this can be a congruent angles or alternate angles are equal
this is symmetric property of equality
Question 5
m1 = 30 and mz1 = m2, then m2 = 30
this property is transitive property of equality
Question 2
if RS - TU and TU =YP, then RS = YP
this means you can substitute RS with YP
then we have our new expression as
YP - YP
this is substitution property of equality, this is because we are substituting a function with another function
This is an obtuse triangle because one angle of it is greater than 90 degrees :)
Given:
The line passes through (-3,-6) and (2,-2).
To find:
The equation of line.
Solution:
If a line passes through two points 
, then the equation of line is
The line passes through (-3,-6) and (2,-2). So, the equation of line is
Subtract 6 from both sides.
Therefore, the equation of line is .
