Answer:
-16
Step-by-step explanation:
Represent the number by n.
Then:
8(n + 18) = 16
Performing the indicated multiplication, we get:
8n + 144 = 16
Subtracting 144 from both sides results in 8n = -128.
Dividing both sides by 8: n = -128/8 = -16
The number was -16.
Answer:
(-1,-6)
Step-by-step explanation:
(Replaced x in f with (x-2))
(Used 
and distributive property)
(Gathered like terms)
(Simplified)
The vertex of a parabola occurs at 
.
Let's find 
first.
Now we can obtain 
which is 
in this case:
.
The vertex is (-1,-6).
The two tangent lines for each circle are the same length. Set the equations to equal and solve for x.
1. 4x + 3 = 3x +12
Subtract 3x from each side:
x +3 = 12
Subtract 3 from both sides:
x = 9
2. -2 + x = 2x -7
Subtract 2x from both sides:
-2 - x = -7
Add 2 to each side:
-x = -5
Multiply both sides by -1:
x = 5
Answer:
Each angle is 67 degrees
Step-by-step explanation:
Bisected angles are divided in half
134/2 =67
Each angle is 67 degrees
A=3,500×(1+0.011÷12)^(12×4)
A=3,657.36
Interest earned
=3657.36-3500=157.36
