Simplifying
b2 + 12b + 35 = 0
Reorder the terms:
35 + 12b + b2 = 0
Solving
35 + 12b + b2 = 0
Solving for variable 'b'.
Factor a trinomial.
(7 + b)(5 + b) = 0
Subproblem 1
Set the factor '(7 + b)' equal to zero and attempt to solve:
Simplifying
7 + b = 0
Solving
7 + b = 0
Move all terms containing b to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7
Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7
Combine like terms: 0 + -7 = -7
b = -7
Answer:
40%
Step-by-step explanation:
12 ÷ 20 = .6
You can convert the .6 to a percentage by multiplying it:
.6 x 100 = 60%
If 12 is 60% of 20, then that means 40% was taken away.
A right rectangular pyramid when sliced vertically, the shape of the cross-section is known as Triangle.
<h3>What is A triangle?</h3>
This is known to be a kind of shape that is said to be in a closed form and it is also known to be a 2-dimensional shape that has 3 sides, 3 angles, and also 3 vertices.
Note that when the when the right rectangular pyramid is sliced vertically (down) by a plane passing through the of the pyramid, the new shape of the cross-section is a triangle.
See full question below
A right rectangular pyramid is sliced vertically (down) by a plane passing through the of the pyramid. What is the shape of the cross-section?
A. Rectangle
B. Pyramid
C. Triangle
D. Trapezoid
See full question below
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Answer:
x=3
Step-by-step explanation:
0=(x+2)^2-25
+25 +25
25=(x+2)^2
Square root both sides to get:
5=x+2
-2 -2
3=x
Make them both equal to y
y=-2x+6
2y=x+6 y=1/2x+3
These are perpendicular since ones slope is -2 and the other is the opposite, 1/2.