The slope of x-y=8 is 1 because it's actually y = x-8
Parallel means the slope is equal to 1 as well.
Answer:
x=−7
Step-by-step explanation:
(x+4)(2)−3(x+4)−3=0
(x)(2)+(4)(2)+(−3)(x)+(−3)(4)+−3=0(Distribute)
2x+8+−3x+−12+−3=0
(2x+−3x)+(8+−12+−3)=0(Combine Like Terms)
−x+−7=0
In the ordered pair (2, 12), x = 2 and y = 12.
Substitute these values into each inequality to see if the resulting inequality is true.
y > 2x + 4
12 > 2(2) + 4 Twelve is greater than 2 times 2 plus 4 ...hmmm
12 > 4 + 4
12 > 8 Twelve is greater than 8 ....this is TRUE...go to the next inequality
y < 3x + 7
12 < 3(2) + 7 Twelve is less than 3 times 2 plus 7 ...interesting
12 < 6 + 7
12 < 13 Twelve is less than 13 ... this is TRUE also
Therefore; the answer is b. Yes
It must create a true inequality for BOTH inequalities in order for the ordered pair to be a solution
9514 1404 393
Answer:
r ≈ 19.0
s ≈ 17.7
Step-by-step explanation:
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
So, you have ...
cos(43°) = r/26
r = 26·cos(43°) ≈ 19.0
__
sin(43°) = s/26
s = 26·sin(43°) ≈ 17.7
Answer:
-11x +2
Step-by-step explanation:
−(9x + 8) − 2(x − 5)=
-9x -8 -2x +10 =
-11x +2
