Step-by-step explanation:
G(x) = - x^2 + 10x
a + G(a) = a - a^2 + 10a = - a^2 + 11a or 11a - a^2 or a(11 - a)
1/G(a) = 1/(10a - a^2) = 1/a(10 - a)
From angle bisector theorem, we know that:

Moreover:

so:

and
Answer:
y= 2/5-1
Step-by-step explanation:
You get the 2/5 because you go 2 to the right and go 5 up, the -1 is because the x-int is at -1.
Answer:

Step-by-step explanation:
You can see the attached picture
Answer:
x = - 2, x = 7
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2