Answer:
y = 12x + 9 is the answer.
Step-by-step explanation:
Since the given equation is 2x + 12 y = -1
12y = -2x -1
Now this line is in the form of y = mx + c
Here m = slope = -1/12
We have to calculate the slope of another line perpendicular to this line and passing through (0, 9).
Let the equation is y = m' + c'
We know m×m' = -1 for two perpendicular lines
m' = 12
Therefore the equation will be
y = 12x + c'
Since this line passes through ( 0, 9)
9 = 12×0 + c'
c' = 9
Now the equation will be
y = 12x + 9
This is the answer.
Answer:
37 1/2
Step-by-step explanation:
n - 2y = 3y- n/m,
find the value of n when y = 5 and m = -3
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n-2*5=3*5-n/-3
n-10=15+n/3
n-n/3=15+10
2n/3=25
2n=3*25
n=75/2
n=37 1/2 or 37.5
Answer:
Step-by-step explanation:
We solve the inequality similarly to how we would solve an equalitu.
Multiplying everything by -1
Simplifying by 2
8 divided by 3 is 2 with rest two. So as a improper fraction, the answer is:
6/10 per day
6/10 x 5 days
6 x 5 = 30
30 / 10 = 3 miles in 5 days
Answer: D) 52%
Step-by-step explanation:
G = gymnastics
B = baseball
S = soccer
G = 28%
BA = 29%
S = 19%
G and BA = 14%
BA and S = 12%
G and S = 10%
GBS = 8%
So, as we can see at the Venn diagram attached (consider every number in %)
GBS = 8
A = G and S - GBS = 10 - 8 = 2
B = G and BA - GBS = 14 - 8 = 6
C = BA and S - GBS = 12 - 8 = 4
Only G = G - A - B - GBS = 28 - 2 - 6 - 8 = 12
Only BA = BA - B - C - GBS = 29 - 6 - 4 - 8 = 11
Only S = S - A - C - GBS = 19 - 2 - 4 - 8 = 5
So, 2+6+4+12+11+5+8 = 48
100 - 48 = 52%
