Answer: 2y + 3x - 16 = 0
Step-by-step explanation:
Equation of the line is y = 2x/3 - 5
From the equation , the slope m₁ = 2/3. therefore recall, from condition for perpendicularity, m₁m₂ = -1
The product of their gradient must be (-1).
Now since m₁ = 2/3 and m₁m₂ =-1
2m₂/3 = -1
Therefore , m₂ = -3/2.
Since the equation passes through the coordinate of (6,-1)
we now substitute for x and y in the equation of a line to get the y intercept (c)
y = mx + c
-1 = -3x/2 +c
-1 = -3/2 x 6 + c
-1 = -9 + c
-1 + 9 = c
Therefore c = 8
Now to get the equation of line that is perpendicular to y = 2x/3 - 5
y = -3x/2 + 8
making it a linear equation,
2y = -3x + 16
2y +3x - 16 = 0
You need a question to solve this problem because without a question, you cant solve it!
Answer:
no
Step-by-step explanation:
Neither 10 nor 34 are divisible by 4
Thus 4 is not a factor of the expression.
Answer:
2.44 miles
Step-by-step explanation:
Give the following :
Average miles to school = 12 miles per hour
Average Miles from school = 15 miles per hour
Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667
Recall:
Speed = distance / Time
Time = distance / speed
Let distance = d
For the scenario described :
d/12 + d/15 = 0.3667
(5d + 4d) / 60 = 0.3667
5d + 4d = 22
9d = 22
d = 22/9
d = 2.44 miles
After solving 
we get y=0.24
Step-by-step explanation:
We need to solve the ratio: and find value of y
Solving:
Converting fractions into decimals
Ratio can be written as:
Now cross multiply
So, after solving we get y=0.24
Keywords: Ratio
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