Answer:
The solution is x = 10 and x = -6. This quadratic could be represented in factored form as (x - 10)(x + 6) or on a graph with x-intercepts at (10,0) and (-6,0).
Step-by-step explanation:
To solve the quadratic, write the quadratic in standard form and factor the equation.
x² - 4x = 60
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x = 10 and x = -6
Answer:
y + z = x
Step-by-step explanation:
Let's rename angle BAC to w. Now, we have four angles: w, x, y, and z. We know that w + y + z has to equal 180 degrees, because a triangle's three angels always adds up to 180 degrees. We also know that w + x equals 180 degrees, because they are on the same line. These two phrases are equal:
w + y + z = w + x
We can then cancel w on each side:
y + z = x
Hope this helps! :)
ANSWER: The number is 10.
Hope this helps!!
I used the variable n as the number we needed to find. The equation was n + 8 + 12 = 3n
Answer:
Parabola
Step-by-step explanation:
We are given that a function

The given function is an equation of parabola along y- axis.
General equation of parabola along y- axis with vertex (h,k) is given by


Compare it with given equation then we get
h=5, k=3
Vertex of given parabola =(5,3)
Substitute x=0 then we get

y-intercept of parabola is at (0,28).
Answer:
(x) =
x + 8
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9(x - 8) ← divide both sides by 9
= x - 8 ( add 8 to both sides )
+ 8 = x
Change y back into terms of x with x =
(x) , thus
(x) =
x + 8