Answer:
or 
Step-by-step explanation:
The perpendicular slope is the opposite-reciprocal of the original slope:
Perpendicular slope of -2 is 
Write the equation in point-slope form (
):

Convert to slope-intercept form if needed:


The approximate length of side a is 9.12 in. The correct option is B. 9.12 in
<h3>Law of Sines </h3>
From the question, we are to determine the approximate length of side a
From the given information, we have that
m∠B = 114°, m∠C = 22°
Thus,
m∠A = 180° - (114° + 22°)
m∠A = 180° - 136°
m∠A = 44°
Now,
From the law of sines, we have that
a/sinA = b/sinB
Then,
a/sin44° = 12/sin114°
a = (12 ×sin44°)/sin114°
a = 9.12 in
Hence, the approximate length of side a is 9.12 in. The correct option is B. 9.12 in
Learn more on Law of Sines here: brainly.com/question/24138896
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Isolating s, the equation written in terms of s is:

-------------------------
- The equation for the length of the third side, as stated in the problem,("Maristella uses the equation b = 24 – 2s to find b, the length of the triangle's third side") is:

- To solve for the lengths of the congruent sides, we isolate s, thus:


Inverse of multiplication is division, thus:

Separating into two fractions:

Solving each fraction:

A similar problem is given at brainly.com/question/5123313
The value of c that makes up a perfect square trinomial is
9x^2 - 12x +c