Answer:
<em>x = -6</em>
Step-by-step explanation:
<u>Equations</u>
Solve the equation:
x + 6 = -x - 6
We must find the value of x that makes the identity above true.
Let's join all the variables on the left side and the numbers on the right side.
Adding x:
x + 6 + x = -x - 6 + x
The variables cancel out on the right side:
2x + 6 = -6
Subtracting 6:
2x + 6 - 6 = -6 -6
The 6 and -6 are canceled out:
2x = -12
Dividing by 2:
x = -12/2
x = -6
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped
The left side
1.99999925
1.99999925
does not equal to the right side
1
1
, which means that the given statement is false.
Answer:
I think Its D but I dont fully know
The choices are not attached but we can solve the problem from the given information
Answer:
The expression can be used to find h is 
The height of the cone is 
cm
Step-by-step explanation:
The formula of the volume of the cone is V = 
π r² h, where
- r is the radius of its base
- h is the height of it
Let us find the height of the cone from the formula of its volume
∵ V = π r² h
- Multiply both sides by 3
∴ 3 V = π r² h
- Divide both sides by π r²
∴ 
- Switch the two sides
∴
The expression can be used to find h is
∵ The radius of the cone is 7 cm
∴ r = 7
∵ The volume of the cone is 147 cm³
∴ V = 147
- Substitute them in the expression of the height to find it
∵ 
∴ h = cm
The height of the cone is cm
