Answer:
3/9
Step-by-step explanation:
15/45
divide both sides by a factor of each number; I'll be using 5.
3/9
It didn't have to be 5, I could have used 3, but in that case It wouldn't have been it's simplest form and I would have to divide again by another factor.
- The answer is option B. The insurance company must request a premium of $ 1095.16
D. (-8,-7) Simplifying<span>y + -8 = 4(x + 7)
Reorder the terms:
-8 + y = 4(x + 7)
Reorder the terms:
-8 + y = 4(7 + x)
-8 + y = (7 * 4 + x * 4)
-8 + y = (28 + 4x)
Solving
-8 + y = 28 + 4x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + y = 28 + 8 + 4x</span>
Answer:
The area of rectangle BEFD is 180 square units.
Step-by-step explanation:
After checking the figure given, we have the following information:
,
,
, 
By Pythagorean Theorem, we determine the length of the line segment BD:
(1)


In addition, we know the following characteristics of the rectangle BEFD:
,
,
(2), (3), (4)
By Pythagorean Theorem:
(5)
(6)
By (3), (4), (5) and (6):
(7)
(8)
By (7) in (8):



Then, we clear
:


If we know that
,
and
, then the length of the segment
is:

And the length of the line segment
is:



And the length of the line segment
is determined by Pythagorean Theorem:



And the area of the rectangle is determined by the following formula:



The area of rectangle BEFD is 180 square units.