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____ [38]
3 years ago
15

A student was given the equation x^2+2x-16=0 to solve by completing the square. The first step that was written is shown below.

——> X^2 + 2x=16<—— The next step in the student’s process was x^2 +2x+c =16+c. State the value of c that creates a perfect square trinomial.
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

Answer:

x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}

Step-by-step explanation:

Quadratic Equation Given:

x^2+2x-16=0

x^2 + 2x=16

$c=\left( \frac{b}{2} \right)^2 $

x^2 + 2x+1=16+1

(x+1)^2=17\\

x+1=\pm \sqrt{17} \\

x=-1 \pm \sqrt{17} \\

x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}

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A -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a angle with a short
poizon [28]

Complete question :

A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.

What is the length x of a diagonal support, to the nearest tenth of a foot?

Answer:

13.80 feets

Step-by-step explanation:

Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :

To obtain x :

Sinθ = opposite / hypotenus

Opposite = 12.5 feets ; hypotenus = x ; θ = 65°

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2 years ago
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Answer:

X= 109°

Step-by-step explanation:

all the interior angles will add up to 360°

90°+90°= 180°

360-180= 180°

x+(x-38)= 180°

x+x= 180+38= 218

x= 218÷2= 109°

hope it helps !

3 0
2 years ago
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