Answer:
y = -7, y = -3
Step-by-step explanation:
(y - 3)² = 2y² + 4y + 30
expand:
y² - 6y + 9 = 2y² + 4y + 30
subtract 30 from both sides
y² - 6y + 9 - 30= 2y² + 4y + 30 - 30
simplify:
y² - 6y - 21 = 2y² + 4y
subtract 4y from both sides
y² - 6y - 21 -4y = 2y² + 4y - 4y
simplify:
y² - 10y - 21 = 2y²
subtract 2y² from both sides
y² - 10y - 21 - 2y² = 2y² - 2y²
simplify:
-y² - 10y - 21 = 0
solve y by quadratic equation
- (-10) ± √ (-10² - 4(-1)(21)
y = --------------------------------------
2(-1)
y = -7, y = -3
Answer:
D. -20 + 35c
Step-by-step explanation:
<em><u>All you need to do is distribute the -5 to what's inside the parenthesis:</u></em>
-5(4 - 7c)
<em><u>The -5 can be distributed to the 4 and the -7c:</u></em>
-20 + 35c
Cos²(15°) - sin²(15°) = cos(15° * 2) = √(3/2 so this is the answer by using apropriate formula double angle identity
Distance formula (See attachment below)
100 + 144
square root 244
15.620
Round to the nearest tenth
15.6
Answer:
(5, -1)
Step-by-step explanation:
Midpoint = (x1 + x2 ÷ 2) , (y1 + y2 ÷ 2)
MP= (7 + 3 ÷ 2), (-5 + 3 ÷ 2)
= (10÷2), (-2÷2)
=(5), (-1)
MP= (5, -1)