Answer:
√29
Step-by-step explanation:
We are here given that ,
Now square the first equation ,
⇒ a - b = 3
⇒ ( a - b)² = 3²
⇒ a² + b² - 2ab = 9
⇒ a² + b² - 2(5) = 9
⇒ a² + b² -10 = 9
⇒ a² + b² = 9 + 10
⇒ a² + b² = 19
⇒ a² + b² + 2ab = 19 + 2(5)
⇒ (a + b)² = 19 + 10
⇒ ( a + b)² = 29
⇒ a + b = √29 .
We have been given that professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot.
Therefore, we can find the slope as:
![\text{Slope}=\frac{0.25\text{ inch}}{\text{1 foot}}=\frac{0.25\text{ inch}}{\text{12 inch}}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%7D%3D%5Cfrac%7B0.25%5Ctext%7B%20inch%7D%7D%7B%5Ctext%7B1%20foot%7D%7D%3D%5Cfrac%7B0.25%5Ctext%7B%20inch%7D%7D%7B%5Ctext%7B12%20inch%7D%7D)
![\text{Slope}=\frac{0.25}{12}=\frac{25}{1200}=\frac{1}{48}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%7D%3D%5Cfrac%7B0.25%7D%7B12%7D%3D%5Cfrac%7B25%7D%7B1200%7D%3D%5Cfrac%7B1%7D%7B48%7D)
Therefore, the recommended slope for a sewer pipe is ![\frac{1}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B48%7D)
Answer:
x=-4, y=7
Step-by-step explanation:
-5x-10y=-50...(1)
Multiply both sides by -1:
5x+10y=50
5x=50-10y
x=(50-10y)/5
Substitute <u>x=(50-10y)/5</u> into second given eqaution:
10(50-10y)/5+8y=16
Cancel out common factor 5:
2(50-10y)+8y=16
100-20y+8y=16
-12y=16-100
-12y=-84
y=84/12
y=7
Substitute y=7 into equation (1)
-5x-10(7)=-50
-5x-70=-50
-5x=-50+70
-5x=20
x=-20/5
x=-4
It is impossible to determine the relationship between x and y from the question about the triangle. Hence, the correct option is D. This is because none of the sides are labelled x or y from the information provided.
<h3>What are the relationships that exist between the sides of a triangle?</h3>
It is important to note that:
The side with the highest length is the side that is opposite the biggest angle.
It is also important to note that the angle that is least will always be opposite the side that is smallest.
Learn more about triangles at:
brainly.com/question/17335144
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