Answer:
y = -1/2x + 2.5
Step-by-step explanation:
- slope of a perpendicular line is the negative reciprocal of the original slope (2 in this case) so y = -1/2 x + c
- to find c we substitute the values from the given point into the equation
(0) = -1/2*(5) + c
- rearrange and calculate and you'll get c = 5/2 or 2.5
- replace the value of c and now you've got y = -1/2x + 2.5
The zeros of the function are also called the roots. Thus, this problem is basically locating the root of the given equation.
To locate the roots, we equate the equation f(x) to 0.
We then dissect each term to identify a, b, and c in the quadratic equation formula:
x = (- b +- √(b²-4ac))/2a
a = 2
b = 8
c = -3
x1 = 0.3452
x2 = -4.345
Given length of the garden = 35 feet
Given width of the garden = 15 feet
Let's assume the walkway has a width of x feet.
The figure of the garden with walkway is attached below.
Length of walkway= 
Width of walkway = 
Area of walkway = length of walkway * width of walkway
Area = 
Area = 
Area = 
.... Answer
Answer:
JUST DOING THIS FOR POINTS
Step-by-step explanation:
LOL
Answer: x = 25
Step-by-step explanation:
If these angles are congruent, that means they are equal. Using that information, we can frame the following equation:
(x+15) = (3x-35)
To find 'x', we just need to solve the above equation.
(x+15) = (3x-35)
x+15 = 3x-35
x-3x = -35-15
-2x = -50
x = 25.
Therefore, 'x' is 25 degrees.
