Answer:
Step-by-step explanation:
<span>2x^2 - 6x - 36= 2*(x^2 - 3x -18)
Lets solve this now: </span>x^2 - 3x -18=0

or -3
x^2 - 3x -18=0
(x+3)(x-6)=0
So the solution is
2(x+3)(x-6)
Y - y1 = m(x - x1)
slope(m) = -10
(1,4)...x1 = 1 and y1 = 4
now we sub
y - 4 = -10(x - 1) <== ur answer
Answer:
The x-intercepts of the quadratic equation: x = -1 , x = -2/3
See explanation below
Step-by-step explanation:
The question is incomplete as the quadratic equation is missing. I would show you how to find the x intercept of a quadratic equation using the factors
Quadratic equation is in the form: ax² + bx + c =0
Where a, b and c are constant
Let's consider the quadratic equation below to solve the question:
2x² + 5x + 3 = 0
By Factoring the expression: (+2) + (+3) = 5; (+2) ×(+3) = 6
2x² + 2x +3x + 3 = 0
2x(x+1) +3(x+1) = 0
(2x + 3) (x+1) = 0
(2x + 3) and (x+1) are the factors of the quadratic equation.
We would equate both to zero to find x-intercepts
2x + 3 = 0 or x+1= 0
2x = -3 or x = -1
x = -2/3 or x = -1
The x-intercepts of the quadratic equation: x = -2/3 or x = -1
The The x-intercepts of the quadratic starting with lower value:
x = -1 , x = -2/3
The rest of the question is the attached figure
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solution:
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As show in the attached figure
∠M = ∠R = 54.4°
∠N = ∠T = 71.2°
∠O = 180° - (∠M + ∠N) = 180° - (54.4°+71.2°) = 54.4°
∠S = 180° - (∠R + ∠T) = 180° - (54.4°+71.2°) = 54.4°
∠O = ∠S = 36°
∴ Δ MNO is similar to Δ RTS
So, the correct statement:
The triangles each have two given angle measures and one unknown angle measure.