4x² - 49y² = (2x)² - (7y)² = (2x - 7)(2x + 7)
Answer:
The sidewalk is 2 feet wide
Step-by-step explanation:
The area of the sidewalk is given as 80 square feet
The length and width of pool
including side walks will be;
10 + 2x and 6 + 2x
To get the area of the side walk
That will be area of total minus area of the pool
That will be ;
(10 + 2x)(6 + 2x) - 10(6) = 80
60 + 12x + 20x + 4x^2 - 60 = 80
4x^2 + 32x -80 = 0
x^2 + 8x -20
x^2 + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x-2)(x + 10) = 0
x = 2 or -10
since width cannot be negative;
The sidewalk is 2 feet wide
Answer:
Step-by-step explanation:
1. none
because of 12 is not divisible by five
Hello!
The line y=1 is horizontal. Therefore, only our y-value will change. As you can see, our y-value is 6 units away from this line. Therefore, we subtract to find the y-value.
1-6=-5
Therefore, our final point is (-2,-5).
I hope this helps!
Perpendicular lines have opposite reciprocal slopes.
x = 4 has a slope of undefined since it is a vertical line.
It's undefined because 1/0 = undefined. We can't divide by 0.
The opposite reciprical of 1/0 is -0/1, which equals to 0.
Any line with a slope of 0 is:
y = 0x + b
y = b
This line goes through the point of (2, 6).
Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).
6 is in the y-value.
The equation of the perpendicular line is y = 6.