2x^2 + 14x = -12
Step 1: Subtract -12 from both sides.
2x^2 + 14x - (-12) = -12 - (-12)
2x^2 + 14x + 12 = 0
Step 2: Factor the left side of the equation.
2(x + 1)(x + 6) = 0
Step 3: Set Factors equal to 0.
x + 1 = 0 or x + 6 = 0
x = -1 or x = -6
Answer:
x = -1 or x = -6
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Answer:
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Step-by-step explanation:
9 x 10 *-6
9. One is 6 over par, the other is three under, so subtract first-second = 6-(-3) = 9
Answer:
m∠PRT = 114°
m∠T = 37°
m∠RPT = 29°
Step-by-step explanation:
This question is incomplete (without a picture) ; here is the picture attached.
In this picture, an airplane is at an altitude 12000 feet.
When the plane is at the point P, pilot can observe two towns at R and T in front of plane.
We have to find the measure of ∠PRT, ∠T and ∠RPT.
Form the figure attached segment PS is parallel to RT and PR is a transverse.
We know that internal angles formed on one side of the parallel lines by a transverse are supplementary.
Therefore, x + 66 = 180
x = 180 - 66 = 114°
∠PRT = x = 114°
m∠RPT = m∠SPR - m∠SPT
= 66 - 37
= 29°
Since m∠PRT + m∠T + m∠RPT = 180°
114 + ∠T + 29 = 180
143 + ∠T = 180
∠T = 180 - 143
∠T = 37°
Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.
<h3>How to find the area of the composite figure</h3>
The area of the <em>composite</em> figure is the sum of two areas, the area of a semicircle and the area of a <em>right</em> triangle. The formula for the area of the composite figure is described below:
A = (1/2) · AB · BC + (π/8) · BC² (1)
If we know that AB = 6 cm and BC = 6 cm, then the area of the composite figure is:
A = (1/2) · (6 cm)² + (π/8) · (6 cm)²
A ≈ 32.137 cm²
Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.
To learn more on composite figures: brainly.com/question/1284145
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