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Answer:
y = -3/2x +10
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +b
The slope is 2/3
We want a line perpendicular
Slopes of perpendicular lines multiply to -1
m * 2/3 = -1
Multiply by 3/2
m * 2/3 * 3/2 = -1 * 3/2
m = -3/2
The slope of the perpendicular line is -3/2
We have the slope and a point (4,4)
y = -3/2 x +b
4 = -3/2(4) +b
4 = -6+b
Add 6 to each side
4+6 = -6+6+b
10 =b
y = -3/2x +10
Answer:
17 ounce cereal
Step-by-step explanation:
It is only a 53. cent difference so the better option would be the 17 ounce bag
Let
x = larger integer
y = smaller integer
The two integers (x and y) have a sum of 42 which means they add to 42
x+y = 42
solve for y to get
y = 42-x
simply by subtracting x from both sides
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The two integers have a difference of 22. This translates to "subtract the values and the result will be 22", i.e.,
x-y = 22
Plug in y = 42-x. Solve for x
x-y = 22
x-(y) = 22
x - (42-x) = 22
x - 42 + x = 22
2x - 42 = 22
2x - 42+42 = 22+42
2x = 64
2x/2 = 64/2
x = 32
If x = 32, then y is...
y = 42-x
y = 42-32
y = 10
Therefore,
x = 32
y = 10
The final answer is 10
