<h2>
Answer: slope = - ¹³/₁₇
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Step-by-step explanation:
The question gives us two points, (9,-6) and (-8,7), from which we can find the slope and later the equation of the line.
<u>Finding the Slope </u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (7 - (- 6)) ÷ (-8 - 9)
= - ¹³/₁₇
<em><u>Checking my answer:</u></em>
Finding the Equation
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:</em>
<em> ⇒ </em><em>y - (-6) = - ¹³/₁₇ (x - 9)</em>
<em> </em>
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
Let the middle child be x
youngest child = x - 1
Oldest child = x + 1
(x - 1)^2 = 8(x + 1) + 4
x^2 - 2x + 1 = 8x + 8 + 4
x^2 - 10x - 11 = 0
(x - 11) * (x + 1) = 0
X = - 1 makes no sense. How can a middle child be - 1 years old?
x = 11
The youngest child is 10
The middle child is 11
The oldest child is 12
Check
=====
10^2 = 100
(8*12) + 4
96 + 4 = 100 So the results have been checked.
Answer:
x = 8 units
Step-by-step explanation:
Note that the ratio of the middle-length legs is 12/18, and that of the shortest-length legs is x/12.
Then:
12 x
----- = -----
18 12
... which, through cross- multiplication, becomes 18x = 144. Then x = 8 units
D) 12 and a quarter hours. Just add all the times together.