So anytime we have a slope and want to find the slope of a perpendicular line, we just have to remember a perpendicular line's slope is the negative reciprocal (reciprocal means flip the fraction). So if we had a slope of 3/4, the slope perpendicular to it would be - 4/3.
First we need to find our slope, to do this we take the change in y over the change in x like so:
(15-12)/(4-7) = - 3/4
The slope perpendicular to this is 4/3.
Answer:
11/12
Step-by-step explanation:
6 7/12 - 5 2/3
=(6-5) + (7/12 - 2/3)
= 1 + 7/12 - 2*4 / 3*4
= 1 + 7/12 - 8/12
= 1 + 7-8 / 12
= 1 + -1/12
=11/12
D is correct because the 48 quart * 4cup/1quart*8ounce/1Cup=1536 fl .oz
Answer:
12
Step-by-step explanation:
Absolute value means take the positive value of
3 |-4|
3 * 4
12
Let's solve your system by substitution.
2x−2y=−4;2x+y=11
Rewrite equations:
2x+y=11;2x−2y=−4
Step: Solve2x+y=11for y:
2x+y=11
2x+y+−2x=11+−2x(Add -2x to both sides)
y=−2x+11
Step: Substitute−2x+11foryin2x−2y=−4:
2x−2y=−4
2x−2(−2x+11)=−4
6x−22=−4(Simplify both sides of the equation)
6x−22+22=−4+22(Add 22 to both sides)
6x=18
6x/6 = 18/6
(Divide both sides by 6)
x=3
Step: Substitute3forxiny=−2x+11:
y=−2x+11
y=(−2)(3)+11
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
