Answer:
Step-by-step explanation:
Given
Required
Find all product of real values that satisfy the equation
Cross multiply:
Subtract 7 from both sides
Reorder
Multiply through by -1
The above represents a quadratic equation and as such could take either of the following conditions.
(1) No real roots:
This possibility does not apply in this case as such, would not be considered.
(2) One real root
This is true if
For a quadratic equation
By comparison with
Substitute these values in
Add 56 to both sides
Divide through by 4
Take square roots
Hence, the possible values of r are:
or 
and the product is:
Answer:
13 = 13
20 = 2^2 • 5
9 = 32
Prime Factor Number 13 Number 20 Number 9 L.C.M
2 0 2 0 2
3 0 0 2 2
5 0 1 0 1
13 1 0 0 1
The <em>approximate increase</em> in Area of the parking lot is about 133%
Area of a rectangle = Length × width
<u>Initial Area of parking lot</u> :
- 75 feets × 150 feets = 11250 ft²
<u>New Area of parking lot</u> :
Width = 75 + 100 = 175 feets
Length = 150 feets
Area = 175 × 150 = 26250 ft²
<u>Percentage increase in </u><u>Area</u><u> </u><u>of lot</u> :
((16250 - 11250) / initial Area) × 100%
(15000 / 11250) × 100% = 133.33%
Therefore, the <em>approximate increase</em> on area of lot is 133%
Learn more : brainly.com/question/18109354
<em>Please refer to the attachment for the answer and explanation. Hope it helps!!</em>
Answer:
x = 1/3
Step-by-step explanation:
Step 1: Write equation
8x + 11 = 14 - 1x
Step 2: Solve for <em>x</em>
- Simplify: 8x + 11 = 14 - x
- Add x to both sides: 9x + 11 = 14
- Subtract 11 on both sides: 9x = 3
- Divide both sides by 9: x = 3/9
- Simplify: x = 1/3
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
8(1/3) + 11 = 14 - 1(1/3)
8/3 + 11 = 14 - 1/3
41/3 = 41/3
