Answer:
The fourth option.
Step-by-step explanation:
In the given equation x^2 + 4x + 9 = 0, a=1, b=4, and c=9. The quadratic formula is in the attachment below so if you plug in a, b, and c you get the fourth option.
Answer:
90
Step-by-step explanation:
3 hours = 180 mins
180 ÷ 45 = 4. so Ellie will drive 4x more miles in 3 hours.
22.5 × 4 = 90
Answer:
y = 0, y = 
, y = 7
Step-by-step explanation:
Factor out 
from each term
( 3
- 22
+ 7) = 0 , that is
(3y² - 22y + 7) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term
product = 3 × 7 = 21 and sum = - 22
The factors are - 21 and - 1
Use these factors to split the y- term
3y² - 21y - y + 7 ( factor the first/second and third/fourth terms )
3y(y - 7) - 1 (y - 7) ← factor out (y - 7) from each term
(y - 7)(3y - 1)
Then
(y - 7)(3y - 1) = 0
Equate each factor to zero and solve for y
= 0 ⇒ y = 0
3y - 1 = 0 ⇒ 3y = 1 ⇒ y =
y - 7 = 0 ⇒ y = 7
Answer:
45°
Step-by-step explanation:
<u>The Supplementary Angles Postulate states that if two angles form a linear pair, then the sum of the angles is 180°.</u>
<u />
With this knowledge, you can set up your equation:
(3x+6)+(x+2)=180
<em>(It's okay that I didn't put the degrees in, you still get the same answer)</em>
<em>First, combine like terms.</em>
(<u>3x</u>+6)+(<u>x</u>+2)=180
4x+<u>6</u>+<u>2</u>=180
4x+8=180
<em>Then solve.</em>
4x+8=180
-8 -8
4x=172
÷4 ÷4
x=43
<em><u>DO NOT STOP HERE!! Since the question asks for the measure of angle SQR, do NOT put 43 as the answer!! It is a common mistake (I have fallen for it many times before!!)</u></em>
<em>Plug in the "x" into the equation.</em>
(43)+2=45°
<em><u /></em>
<em><u>Hope this helps! If you need more clarification, or if it isn't right, feel free to tell me in the comments. Rock that quiz tomorrow!!</u></em>
