When you have two lines in an x shape, vertical angles are the ones opposite each other.
in the example here, the angles with the purple dots are vertical angles and the angles with the blue dots are the other vertical angles
6= mx+b
6-b=mx
x=(6-b)/m
hope you understand
The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.
<h3>Quadratic equation</h3>
There are four methods of solving quadratic equation. Namely;
- Factorization method
- Completing the square method
- Graphical method
- Formula method
0 = -2x² + 5x - 3
x = -b ± √b² - 4ac / 2a
where,
x = -b ± √b² - 4ac / 2a
x = -5 ± √5² - 4(-2)(-3) / 2(-2)
= -5 ± √25 - (24) / -2
= -5 ± √1 / -2
= -5/2 ± 1/2
= -5/2 - 1/2 or x = -5/2 + 1/2
= -5-1 / 2 or -5+1/ 2
x = -6/2 or -4/2
x = -3 or -2
Therefore, the solution to the quadratic equation is x = -3 or -2
Learn more about quadratic equation:
brainly.com/question/1214333
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Answer:
Perimeter = 36.8 ft
Step-by-step explanation:
<u>Step 1: Add the straight sides together</u>
3+3+3+3+3+3 = 18 ft
<u>Step 2: Find the perimeter of the semi-circles</u>
The formula for the perimeter of semi-circle: 1/2 π × d
Diameter = 12 - 3 - 3 = 6, because the whole length is 12 minus the 6 ft of other stuff.
Now, 1/2π * 6 = 9.4 ft
But, there are two semi-circles so it will be 9.4 + 9.4 = 18.8 ft
<u>Step 3: Add all of them</u>
18 + 18.8 = 36.8 ft
