Hat means y + z = 180.
<span>y is thrice than z means y = 3 * z. </span>
<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>
<span>combine like terms to get 4 * z = 180. </span>
<span>solve for z to get z = 180 / 4 = 45 degrees. </span>
<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>
y = 135
<span>z = 45 </span>
y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>
<span>solution is confirmed to be good.</span>
Answer:
-2,-1,1,2
Step-by-step explanation:
The term root is just another name for the x intercept so just look at where your line crosses the x axis and you will have your answer. Remember the y axis is not involved so it cannot be a co-ordinate.
Tan(A) = Opp/Adj = CB / AC = 12/9 = 4/3
hope it helps
Elaine's, line up your decimal and add zeros.
Answer:
1 / (x² + 6x + 8)
Step-by-step explanation:
(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)
= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)
↑ factor x² + 5x + 6 ↑ factor x² - 16 using difference of squares
= 1 / (x + 2) * 1 / (x - 4) ← x + 4 and x + 3 cancel
= 1 / (x + 2) * (x + 4) ← multiply
= 1 / (x² + 6x + 8) ← expand
