Answer:
y+11=-2/3(x-6)
Step-by-step explanation:
To find the parallel line, we would just plug in the numbers in the point-slope form from what we're given. We have y=-2/3x+12 and (6,-11).
Point-slope form:
y-y1=m(x-x1) → y+11=-2/3(x-6)
m represents the slope, which is -2/3 in this situation.
y1 represents the y coordinate, which is -11 in this situation. However, when we plug in negative numbers in a point-slope form, we would do the opposite of the negative number, which is to make it a positive in point-slope form.
x1 represents the x coordinate, which is 6 in this situation.
Turn both equations into slope-intercept form [ y = mx + b ].
x + 3y = 3
~Subtract x to both sides
3y = 3 - x
~Divide 3 to everything
y = 1 - x/3
~Reorder
y = -1/3x + 1
4x + 3y = -6
~Subtract 4x to both sides
3y = -6 - 4x
~Divide 3 to everything
y = -2 - 4x/3
~Reorder
y = -4/3x - 2
Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.
Best of Luck!
Answer:
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Step-by-step explanation:
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You cannot take the square root of a negative number so the radicals must be greater than or equal to-1.
9-10x≥0
-10x≥-9
x≤9/10
{x|x≤-10}
Answer:4
Step-by-step explanation:
Ex (increase, such as taxes or price hike):
I want to increase $5 by 20%.
That means I would have to find the product of $5 and 120%.
$5*1.20=6
If you increase $5 by 20%, you will get $6.
Ex (decrease, such as a discount or a special deal):
I want to decrease $5 by 20%.
That means I would have to find the product of $5 and 80%.
$5*.80=4
If you decrease $5 by 20%, you will get 4.
