Answer:
Step-by-step explanation:
<h2>Equation of line in slope y-intercept form:</h2>
![\sf y - [-3] = \dfrac{1}{2}(x - 2)\\\\y + 3 = \dfrac{1}{2}x - 2*\dfrac{1}{2}\\\\y + 3 = \dfrac{1}{2}x-1\\\\](https://tex.z-dn.net/?f=%5Csf%20y%20-%20%5B-3%5D%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%28x%20-%202%29%5C%5C%5C%5Cy%20%2B%203%20%3D%20%20%5Cdfrac%7B1%7D%7B2%7Dx%20-%202%2A%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5Cy%20%2B%203%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dx-1%5C%5C%5C%5C)
Firstly I would revert these back to improper fractions:
So 17/6 ÷ 24/5
Then I would use keep, change, flip
So 17/6 * 5/24
Finally simplify
85/144
Final Answer: 85/144
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
Answer:
35°
Step-by-step explanation:
The central arc is equal to the arc that subtends it, then
arc AC = 75° and
BC = AC - AB = 75° - 40° = 35°
Answer:
⇒ 
Step-by-step explanation:
