The form (x - p)^2 = q is the form that completing the square will leave us with.
---Add 5 to both sides
x^2 - 8x = 5
---Divide the b term by 2, and square it. Then, add that number to both sides.
-8/2 = -4
(-4)^2 = 16
x^2 - 8x + 16 = 5 + 16
x^2 - 8x + 16 = 21
---Factor!
(x - 4)^2 = 21
p = 4
q = 21
Hope this helps!! :)
Slope is -2/5 and y-intercept is 2
Step-by-step explanation:
- Step 1: Write the equation in slope-intercept form y = mx + b
2x + 5y = 10
5y = -2x + 10
y = -2/5 x + 10/5
y = -2/5 x + 2
- Step 2: Find the slope and y-intercept from the equation.
Slope, m = -2/5
y-intercept, b = 2
Answer:
Step-by-step explanation:
Simplifying
x = 8 + 3y
Answer:
42°
Step-by-step explanation:
Since all the angles in the figure add up to 180°...
180 - 54 = 126
3x = 126°
x = 126 ÷ 3 = 42
