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:
Step-by-step explanation:
<u>Prime factors:</u>
<u>Common factors of the two numbers: </u>
Possible number of students as above
The answer would be 100/101 if we follow according to the rule on which the sequence is based on!
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 17.16 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 17.16 is 100%, so we can write it down as 17.16 = 100%.
4. We know, that x is 62.4% of the output value, so we can write it down as x=62.4%
5. Now we have two simple questions:
1) 17.16 = 100%
2) x=62.4%
Where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
17.16÷x=100%÷62.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 62.4% of 17.16
17.16÷x=100/62.4%
(17.16÷x)×x=(100÷62.4%)×x
17.16=1.60256410256×x
(1.60256410256) to get x
17.16÷1.60256410256=x
10.70784=x
x=10.70784
Now we have:
62.4% of 17.16=10.70784
So 10.70784 is your answer
Hope this helps :)
Answer: x=y=c=csquar
Step-by-step explanation: math
