Answer:
Q1) (x+7)² = 9
x = -10, -4
Q2) (x-8)² = 144
x = -4, 20
Q3) (x-1)² = 81
x = -8, 10
Step-by-step explanation:
Q1) x² + 14x + 49 = 9
x² + 2(x)(7) + 7² = 9
(x + 7)² = 9
x + 7 = +/- sqrt(9)
x + 7 = 3
x = -4
x + 7 = -3
x = -10
Q2) x² - 16x + 64 = 144
x² - 2(x)(8) + 8² = 144
(x - 8)² = 144
x - 8 = +/- sqrt(144)
x - 8 = 12
x = 20
x - 8 = -12
x = -4
Q3) x² - 2x + 1 = 81
x² - 2(x)(1) + 1² = 81
(x - 1)² = 81
x - 1 =+/- sqrt(81)
x - 1 = 9
x = 10
x - 1 = -9
x = -8
Area= 5(-4-(-1)) + 5(-1-(-1))+1(-1(-4))/2 = 6.00
Answer:
5 feet long
Step-by-step explanation:
According to the Pythagorean Theorem, a^2 + b^2 = c^2 where "a" and "b" are the two legs of the right triangle and "c" is the hypotenuse.
We are trying to find the part that is at an angle, which is "c". So if we know "a" is "3 and "b" is 4, we can plug the values into the equation.
3^2 + 4^2 = c^2 plug in the values
9 + 16 = c^2 simply the two squared values
25 = c^2 add the two values
5 = c take the square root of both sides
c = 5 switch the values
