Hi Briana.
All triangles have a total internal measurement of 180 degrees from their angles. Isosceles triangles have two similar side lengths, and one different side length also known as the base. Considering we have the base, we can determine the side lengths by using the following equation:
2x + 24 = 96
Let's get to solving!
2x + 24 = 96; subtract 24 from both sides.
2x = 72; divide both sides by 2 to solve for the measurement of each side length.
x = 36;
Your answer is B.) 36
I hope this helps!
2x^2-8x-24=0
Divide the whole equation by 2.
x^2-4x-12=0
Complete the square
x^2-4x+4-16=0
(x-2)^2 -16=0
(x-2)^2=16
Take the square root of each side.
(x-2)=4 and (-(x-2))=4
x=6 and x=-2
Answer:
Step-by-step explanation:
<u>Point-slope form: </u>
- <em>y - y1 = m(x - x1)</em>
<u>Slope formula:</u>
- <em>m = (y2 - y1)/(x2 - x1)</em>
<u>Given points:</u>
<u>Finding the slope:</u>
- m = (13 - (-2))/(3 - 0)
- m = 15/3
- m = 5
<u>Using point 1</u>
- y - (-2) = 5(x - 0)
- y + 2 = 5x
Well.. I'm not sure if I remember this correctly but doesn't "i" represent the square root of -1? Therefore if you square a square root, they cancel out and you're left with -1 as your answer.
Steps would be to:
change "i" to the square root of -1
put the exponent 2 outside of that
cancel the square root and the exponent
answer= -1