Using the elimination method, multiply the first equation by 60 and the second one by 30 (least common denominators)
30x-45y=11...(1)
12x+5y=9...(12)
Multiply the second equation by 9, to eliminate y
30x-45y=11
+ 108x+45y=81
———————-
138x=92
x=92/138 (reduce fraction with 46)
x=2/3
Substitute x=2/3 into equation 2
12(2/3x)+5y=9
y=1/5
Therefore, the solution to the system is C. (2/3, 1,5)
Answer:
(x+9)(x+4)
Step-by-step explanation:
use that x²-Sx+P =0 where sum S = root1+root 2, product P=Root1 *root2
x²+13x+36
so here S =-13 and P=36 so whhat 2 numbers add to -13 and multiply to 36?
-9 and -4
so it can be factor as (x-root1)(x-root2) =(x- -9)(x- -4)=
(x+9)(x+4)
Answer:
15 candles
Step-by-step explanation:
132.72÷8.4=15.8
therefore jerod can make 15 whole candles
hope this helps
Answer:
The slope of the line is -3
Step-by-step explanation:
Slope formula:
m = y₂ - y₁ / x₂ - x₁
Get any two points:
(-2, 4) and (-1, 1)
Solve:
m = 1 - 4 / -1 - (-2)
m = -3 / -1 + 2
m = -3 / 1
m = -3
Check for the third point just in case.
Two points:
(-1, 1) and (1 , -5)
Solve:
-3 = -5 - 1 / 1 - (-1)
-3 = -6 / 1 + 1
-3 = -6 / 2
-3 = -3
So -3 is the legit slope of the three collinear points.
Answer: C and D
Step-by-step explanation:
Think about it a reflection is a mirror image of something. It would only make sense that c and d is the answer.
Hope this helps :)