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ANSWER
(3, 11) and (−3, −7)
EXPLANATION
The given system of equations are:
and
or
We equate the two equations to obtain,
We rewrite in standard quadratic form to obtain,
This simplifies to
We solve for x to obtain,
When
When x=-3,
Therefore the solution for the system is (3, 11) and (−3, −7).
(3, 11) and (−3, −7)
EXPLANATION
The given system of equations are:
and
or
We equate the two equations to obtain,
We rewrite in standard quadratic form to obtain,
This simplifies to
We solve for x to obtain,
When
When x=-3,
Therefore the solution for the system is (3, 11) and (−3, −7).
<h3>Answer: 4368 square feet</h3>
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Explanation:
Check out the diagram below
I drew a rectangle with dimensions 56 ft by 78 ft.
Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8
The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point
- In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)
- In the upper right corner, we have an area of 70*6 = 420
- In the lower left corner, we have an area of 50*8 = 400
- In the lower right corner, we have an area of 6*8 = 48
Add up all the areas found: 3500+420+400+48 = 4368
As a way to check, using your calculator shows that 56*78 = 4368