Answer:
Step-by-step explanation:
To start, lets form our polynomial factors from our zeroes.
x = -2
x + 2 = 0
x = 5
x - 5 = 0
Now lets put these into factored form by moving them into parenthesis and multiplying them with each other!
(x+2)(x-5)
We can start moving them out! I am going to use FOIL, but you could also use distributive or any other method/property.
x · x = x²
x · -5 = -5x
x · 2 = 2x
2 · 5 = 10
Now lets put our terms into our polynomial function, based on the order of the powers.
We are done! Hope this helps!
We know that
A right triangle has the two legs that form an angle of 90°, which means that the two legs are perpendicular.
In order to prove that FGH is a right triangle, you need to calculate the slopes of the lines passing through its vertexes and see if there is a pair of opposite reciprocals:
m = (y₂ - y₁) / (x₂ - x₁)
m(FG) = (-9 - 4) / (5 - 2) = -13/3
m(FH) = (-4 - 4) / (-3 - 2) = 8/5
m(HG) = (-4 -(-9)) / (-3 - 5) = -5/8
Since m(FH) and m(HG) are opposite reciprocals, FH is perpendicuar to HG and FGH is a right triangle.
Answer:
a
Step-by-step explanation:
the line with equation x = 4 is the equation of a vertical line parallel to the y- axis. Not a horizontal line
Answer:
2 < x
Step-by-step explanation:
7-2(x + 2) <-4 - 3(1 - x)
Distribute
7 - 2x-4 < -4 -3 +3x
Combine like terms
3 -2x < -7+3x
Add 2x to each side
3 -2x+2x< -7+3x+2x
3 < -7+5x
Add 7 to each side
3+7 < -7+7+5x
10 < 5x
Divide each side by 5
10/ 5 < 5x/5
2 < x
Answer:
No Solution.
Step-by-step explanation:
-x-10y=5
-x-10y=9
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-x-10y=5
-(-x-10y)=-9
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-x-10y=5
x+10y=-9
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0=-4
no solution
