Answer: -2x+3y = 21 which is choice C
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Work Shown:
The slope of the original line is -3/2. The perpendicular slope is 2/3. We flip the fraction and flip the sign. Multiplying the original slope (-3/2) and the perpendicular slope (2/3) will result in -1. Let's use this perpendicular slope and the point to find the equation of the perpendicular line in slope intercept form.
y = m+b
y = (2/3)x+b .... plug in the perpendicular slope
9 = (2/3)(3)+b .... plug in the point (x,y) = (3,9)
9 = 2+b
9-2 = 2+b-2 ... subtract 2 from both sides
b = 7
So y = (2/3)x+b turns into y = (2/3)x+7.
This equation is in slope intercept form.
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Let's convert to standard form
y = (2/3)x+7
3*y = 3*((2/3)x+7) ... multiply both sides by 3 to clear out the fraction
3*y = 3*(2/3)x+3*7 ... distribute
3y = 2x+21
-2x+3y = 21 .... get the x term to the other side (subtract 2x from both sides)
Answer:
y = 2M - x
Step-by-step explanation:
M = (x + y)/2 Multiply both sides by 2
2M = x + y Subtract x from each side
y = 2M - x
Non of the above. The answer is 40 and I’m sticking to my guns !
Similar meaning you can assume they are proportionate and if every side is doubled then you should double the last. Another way is to use Pythagorean’s theorem and disregard the little triangle completely.
Both ways have me 40 !
Make the percent into a decimal.
Answer:
6+2 < 9+3
Step-by-step explanation:
Six plus two= 6+2
Less than= <
Nine plus three = 9+3
Therefore, 6+2 < 9+3.