The root of this parabola are x'=2 & x'' = 4, these are the value of x intercepts. The midpoint = (4-2)/2 = 1
First we want to set the equation equal to zero by subtracting 36 from each side...
x^2 + 5x -36 = 0
Now we factor
(x + 9)(x - 4) = 0
Now set each expression equal to zero and solve...
x + 9 = 0 x - 4 = 0
x = -9 x = 4
Your solution set is
(-9, 4)
Answer:
i would have to go with b or c i would choose one of those
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Given:
m∠DAC = 20° and m∠BCA = 30°
m∠ABC = 90° and m∠CDA = 90°
To find:
The value of x and y.
Solution:
In right triangle ABC,
m∠BAC = x° + 20°
Sum of the interior angles of a triangle = 180°
m∠BAC +m∠ABC + m∠BCA = 180°
x° + 20° + 90° + 30° = 180°
x° + 140° = 180°
Subtract 140° from both sides.
x° + 140° - 140° = 180° - 140°
x° = 40°
In right triangle ADC,
m∠ACD = y° + 30°
Sum of the interior angles of a triangle = 180°
m∠ACD +m∠CDA + m∠DAC = 180°
y° + 30° + 90° + 20° = 180°
y° + 140° = 180°
Subtract 140° from both sides.
y° + 140° - 140° = 180° - 140°
y° = 40°
The value of x is 40 and y is 40.
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