length of pool, L = 10 + W
width of pool, W
pool area = W(10+W)
backyard is square shaped.. sides are equal
backyard side length, S = 5 + 3W
Area backyard = (5+3W)(5+3W)
subtract pool area
Area surrounding pool
= (5+3W)(5+3W) - W(10+W)
simplify the expression, foil
= 25 + 30W + 9W^2 - 10W - W^2
combine like terms
A = 8W^2 + 20W + 25
Answer:
You should do your homework.
Step-by-step explanation: It's not good if you don't do it.
Answer:
It would take 86.4 gallons of gas to go 1,836 miles.
Step-by-step explanation:
the situation can be explained by the equation 16x=340, where x is how many miles the car can go in one gallon. divide both sides by 16 to get that answer
x=340/16= 21.25
Now the other problem can be expressed by the equation 21.25y=1836, where y is the amount of gallons it would take to go 1,836 miles.
divide both sides by 21.25 to get the amount of gallons
y= 1836/ 21.25= 86.4.
Answer:
y = 3x
Step-by-step explanation:
1) Identify the slope of the given equation. We can see that the y is isolated in the equation
, so it is in slope-intercept form, or
format. When an equation is in slope-intercept form, the
, or the coefficient of the x-term, represents the slope, thus
is the slope of the given equation. Lines that are perpendicular to each other have slopes that are opposite reciprocals, so the slope of the new line would be 3.
2) Now, use the point-slope formula
to write the equation of the new line. Substitute values for
,
, and
in the formula.
Since
represents the slope, substitute 3 for it. Since
and
represent the x and y values of a point the line intersects, substitute the x and y values of (3,9) for those places in the formula as well. Then, with the resulting equation, isolate y to find an answer in slope-intercept form:
![y-9 = 3(x-3)\\y-9 = 3x-9\\y = 3x](https://tex.z-dn.net/?f=y-9%20%3D%203%28x-3%29%5C%5Cy-9%20%3D%203x-9%5C%5Cy%20%3D%203x)