y=-x
slope for perp line = 1
2y=-x+6
y=-1/2x +3
slope for perp line = 2
15.
i don’t wanna do all sorry it’s a lot of work so i’ll tell u how to do it instead. first write it in slope intercept form which is
y-y1=m(x-x1)
it’s parallel which means it shares the same slope. if it’s perpendicular it would be opposite reciprocals so for -3/2 the perp slope would be 2/3.
the line is
y+1=3/4(x-4)
we distribute the 3/4 so it’s now
y+1=3/4x-3
then we subtract the 1
y=3/4x-4 is the equation boom done
Answer: 51/8 inches
Step-by-step explanation:
Since you must cut down the length of copper tubbing from 15 1/8 inches to 8 3/4 inches, the leftover piece will be:
15 1/8 - 8 3/4
Change the mixed fraction to improper fraction.
121/8 - 35/4
The LCM will be 8
( 121 - 70 )/8
51/8 or 6.375 inches
Therefore, the leftover piece will be 51/8 inches long
First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
Answer:
12a^2 - 9a + 5
Step-by-step explanation:
(5a^2 - 6a - 4) - (-7a^2 + 3a - 9)
5a^2 + 7a^2 = 12a^2
-6a - 3a = -9a
-4 + 9 = 5
12a^2 - 9a + 5
Answer:
The answer is B, -5 is a rational number and integer! :)
Step-by-step explanation: