Answer:
the answer is......
Step-by-step explanation:
f ,c,a
for 
when a=1, then the value of c that will make the quadratic a perfect square (allows you to complete the square) is 
given x^2+x
b=1
so 
answer is C
Answer:
width = 5 feet
length = 11 feet
Step-by-step explanation:
Using one variable and setting up two expressions equal to the total area of the rectangle will determine the dimensions of the rectangle.
w = width
l = '4 feet less than three times the width' or 3w - 4
Area = length x width
A = w(3w - 4) = 55
Distribute: 3w² - 4w = 55
Set equation equal to '0': 3w² - 4w - 55 = 0
Multiply 3 x -55 = -165 and find two factors with a product of -165 and sum of -4: -15 and 11.
3w² - 15w + 11w - 55
Group and find the GCF (greatest common factor):
3w(w - 5) + 11(w - 5)
(3w + 11)(w - 5) = 0
3w + 11 = 0 and w - 5 = 0
w = -11/3 not possible to have negative measurement
w = 5 feet
Solve for length: 3(5) - 4 = 11 feet
Answer:
(2, 18) and (-3, -7)
Step-by-step explanation:
y = 5x + 8 Substitute the value for y into the second equation
-10x + 2y = 16
-10x + 2(5x + 8) = 16
-10x + 10x +16 = 16
16 = 16 True
These two equation are the same line. So pick one of the equation to check which ordered pairs are true solutions.
Using y = 5x + 8
(0, -6) -5 = 5(0) + 8 ; -6 = 8 No
(-1, 9) 9 = 5(-1) + 8; 9 = -5 + 8 ; 9 = 3 No
(2, 18) 18 = 5(2) + 8; 18 = 10 + 8 = 18; 18 = 18 Yes
( -3, -7) -7 = 5(-3) + 8; -7 = -15 + 8; -7 = -7 Yes
