To solve the problem, substitute the given points for x in the given equation to get

Solving the three equations simultaneously, we have:
a = -3, b = 2 and c = -5
Therefore, the required equation is
They ate 13 hot dogs in 2 minutes, so divide 13 by 2 to find out how many hot dogs he ate in 1 minute:
13 / 2 = 6.5 hot dogs per minute.
Now divide total hot dogs eaten by 6.5 to get the total time:
91 / 6.5 = 14 total minutes.
Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>What does the information want:</u>
<u>Let's gather some information</u>:
- ΔA'BC' and ΔABC are similar triangles
⇒ Angle B is shared by both triangles
⇒ Angle A' and A are the same, as they are both on parallel
lines, A'C' and AC, and both angles are formed with the
same line AB
⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles
<u>If they are similar triangles</u>:
⇒ their side lengths are proportional to each other
⇒ let's set up a proportion

⇒ let's set up a proportion

<u>Answer:</u>
- <u>x= 17.143</u>
- <u>y = 26.25</u>
Hope that helps!
#LearnwithBrainly