I require some assistance with this graphing question, please.
2 answers:
Answer:
y-int = 5
roots: sqrt(5)-3 or -3 - sqrt(5)
TP @ (-3,5)
Step-by-step explanation:
y intercept = 5 (when x = 0)
Roots:
When y = 0
5 - (x + 3)^2 = 0
(x+3)^2 = 5
Square both sides:
x + 3 = Sqrt[5] or x + 3 = - Sqrt[5]
x = Sqrt[5] - 3 or x= - 3 - Sqrt[5]
Turning point (Critical Point):
dy/dx (5-(x+3)^2) = - 2 (x+3)
Solve -2 (x+3) = 0
x = - 3
y = 5
Max point at (-3,5)
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The length of a segment is the distance between its endpoints.
- AB and CD are not congruent
- AB does not bisect CD
- CD does not bisect AB
<u>(a) Length of AB</u>
We have:
The length of AB is calculated using the following distance formula
So, we have:
Simplify
<u>(b) Are AB and CD congruent</u>
First, we calculate the length of CD using:
Where:
So, we have:
By comparison
Hence, AB and CD are not congruent
<u>(c) AB bisects CD or not?</u>
If AB bisects CD, then:
The above equation is not true, because:
Hence, AB does not bisect CD
<u>(d) CD bisects AB or not?</u>
If CD bisects AB, then:
The above equation is not true, because:
Hence, CD does not bisect AB
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