Answer:
Option (4)
Step-by-step explanation:
Given system of equations is,
y = -x²- 4x - 3
y = 2x + 5
To get the solution of the system of equations algebraically,
2x + 5 = -x²- 4x - 3
Now combine like terms onto one side of the equation.
-x² - (4x + 2x) - (3 + 5) = 0
x² + 6x + 8 = 0
Then factorize the equation,
x² + 4x + 2x + 8 = 0
x(x + 4) + 2(x + 4) =0
(x + 2) (x + 4) = 0
x = -2, 4
Option (4) is the answer.
D =√(x2-x1)^2 + (y2-y1)^2
......._____________
5 =√(3-0)^2 + (k-1)^2
.......__________
5 =√3^2 + (k-1)^2
25 = 9 + (k-1)^2
16 = k^2 - 2k + 1
k^2 -2k - 15 = 0
(k - 5)(k + 3) = 0
k - 5 = 0.....or.......(k + 3) = 0
k = 5.........or.......k = -3
PEMDAS
14-7=7
3(7)-16
27-16=11
Answer:
54 votes
Step-by-step explanation:
John was the winner
so: 60% of 90 = 54
10% = 9
Answer:
(2,4)
Step-by-step explanation:
1. Add the 2 x-values together, then divide. The resulting number is the x-value of the midpoint. -4+8=4 and 4/2=2, so the x-value is 2
2. Do the above steps (add & divide) for the two y-values. 6+2=8 and 8/2=4, so the y-value is 4
3. put the two values together in a coordinate pair & you have your midpoint! so if x=2 and y=4, then the midpoint is (2,4)
hope this helps :)
