Good Afternoon! Here is your answer step by step!
Let's solve your equation step-by-step.
(z−5)(z+4)=52
Step 1: Simplify both sides of the equation.
z2−z−20=52
Step 2: Subtract 52 from both sides.
z2−z−20−52=52−52
z2−z−72=0
Step 3: Factor left side of equation.
(z+8)(z−9)=0
Step 4: Set factors equal to 0.
z+8=0 or z−9=0
z=−8 or z=9
Answer:
z=−8 or z=9
Have a blessed day! ❤
Answer:

Step-by-step explanation:
given equation

subtracting 17 from both sides

the solution for quadratic equation
is given by
x = 
________________________________
in our problem
a = 1
b = 2
c = -16

thus value of x is

Answer:
200-225
Step-by-step explanation:
trust me haha
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!