The picture wont load for me :/
As anoutline, angles O and Q are inscribed angles which are measured by one-half of its intercepted arc.
angle O = 1/2 arc RQP
angle Q = 1/2 arc ROP
so arcs RQP and ROP together make up the entire circle which has 360 degrees.
so angles O and Q is 1/2 (360) = 180 degrees (supplementary angles).
These numbers are equal to each other, after a decimal you can add any number of zeros, but it will still be equal if all the other numbers match. :D
Answer:
3
(x + 2)(3x + 5)
Step-by-step explanation:
Given
9
+ 33
+ 30
← factor out 3
from each term
= 3
(3x² + 11x + 10) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × 10 = 30 and sum = + 11
The factors are 6 and 5
Use these factors to split the x- term
3x² + 6x + 5x + 10 ( factor the first/second and third/fourth terms )
= 3x(x + 2) + 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(3x + 5), thus
3x² + 11x + 10 = (x + 2)(3x + 5)
and
9
+ 33
+ 30
= 3
(x + 2)(3x + 5)
Answer:
A
Step-by-step explanation:
To find (f ○ g)(x) substitute x = g(x) into f(x), that is
f(g(x))
= f(2x - 1)
= 3(2x - 1) + 14
= 6x - 3 + 14
= 6x + 11 → A