Answer:
- parallel: 60 ft
- perpendicular: 30 ft
- area: 1800 ft^2
Step-by-step explanation:
Let x represent the length of fence parallel to the house. Then the length perpendicular is ...
y = (120 -x)/2
The area of the yard is the product of these dimensions, so is ...
A = xy = x(120-x)/2
This is the equation of a parabola that opens downward and has zeros at x=0 and x=120. The maximum (vertex) is on the line of symmetry, halfway between these zeros, at x=60.
The fence parallel to the house is 60 feet.
The fence perpendicular to the house is (120-60)/2 = 30 feet.
The area of the yard is (60 ft)(30 ft) = 1800 ft^2.
3(-2) -9
-6-9
-15
-15 Is the value that represents the last expression
Answer:
(34-4)/2
Step-by-step explanation:
First you would subtract the flat fee of 4 dollars from the total ($34) which would give you 30 then you divide 30 by the rate or dollars per mile (2) which would leave you with 15 so he drove 15 miles and if you were to writ this as an equation (as shown above) it would look like this (34-4)/2 where you first subtract (hence the parentheses) then you would divide (hence the / ). I hope you found this helpful :D
Answer:
(x + 5)²
Step-by-step explanation:
Given
x² + 10x
To complete the square
add ( half the coefficient of the x- term )² to x² + 10x
x² + 2(5)x + 25
Then
x² + 10x + 25 = (x + 5)²
Answer:
a) <u>Rule for reflection across y - axis:</u>
- (x, y) → (-x, y)
- (-3, 7) → (3, 7)
b) <u>Rule for reflection across x - axis:</u>
- (x, y) → (x, -y)
- (-3, 7) → (-3, -7)
