Answer:
C=9 or c=-7
Step-by-step explanation:
|-5c+5|=40
-5c+5=-40 or - 5c+5=40
-5c=-40-5. - 5c=40-5
-5c=-45. - 5c=35
C=9. C=-7
Set the length of the base as x, the two equal sides are then 4x each, so the perimeter is x+4x+4x=9x
Answer:
The equation of the line would be y = 1/5x + 6
Step-by-step explanation:
First, to find the slope of a perpendicular line, you need to find the opposite and reciprocal of the original slope. Since the original is -5, we first change the sign (which makes it just 5). Now we take that 5 and flip it to get 1/5.
Now that we have the slope as 1/5, we can use that and the intercept in slope-intercept form to get the equation.
y = mx + b
y = 1/5x + 6
Answer: x = - 3.5
Step-by-step explanation:
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
Completing the square method :
Divide through by the Coefficient of x^2
x^2 + 7x + (49/4) = 0
a = 1, b = 7, c = 49/4
Move c to the right side of the equation
x^2 + 7x = - 49/4
Complete the square on the left hand side by squaring its half of the x term
(7/2)^2 = (49/4)
Add the output to both sides of the equation
x^2 + 7x + (49/4) = - (49/4) + (49/4)
(x + 7/2)^2 = 0
Square root of both sides
x + 7/2 = 0
x = - 7/2
x = - 3.5