1. If x-2≥0, x≥2
x-2+10=12
x+8=12
x=12-8
x=4
2.If x-2≤0, x≤2
-(x-2)+10=12
-x+2+10= 12
x = 0
Answer: A) x=0 and x=4
A = length x width
So, this would be 4(3)
(I believe that would be it anyway …) ♀️
Answer: y = -3.5x - 4.5
suppose: the equation of the line is y = ax + b ( a ≠ 0 )
because the line passes through (-2;2.5) => 2.5 = -2a + b
the line passes though (0;-4.5) => -4.5 = b
=> b = -4.5
2.5 = -2a + b
=> a = -3.5
b = -4.5
=> the equation of the line is y = -3.5x - 4.5
Step-by-step explanation:
Consecutive angles = 180
alternate interior angles 60 = 40 = 100
100 + 35 + y = 180
y=45
The perimeter is equal to 60 feet and has the formula:
Perimeter = 2 l + 2 w
60 = 2 l + 2 w
The area is equal to 200 square feet and has the formula:
Area = l w
200 = l w
Rewriting area in terms of l:
l = 200 / w
Combining this with the perimeter formula:
60 = 2 (200 / w) + 2 w
60 = 400 / w + 2 w
Multiplying all by w:
60 w = 400 + 2 w^2
Dividing by 2 and rearranging:
w^2 – 30 w = - 200
Completing the square:
(w – 15)^2 = - 200 + (-15)^2
(w – 15)^2 = 25
w – 15 = ±5
w = 10, 20
Hence the dimensions of the garden is 10 feet by 20 feet
