Answer:
y=-x-1
Step-by-step explanation:
m∠AOC = m∠AOB + m∠BOC
We have m∠AOC = 19°, m∠AOB = 4x - 15 and m∠BOC = 2x + 10. Substitute:
19 = (4x - 15) + (2x + 10)
19 = (4x + 2x) + (-15 + 10)
19 = 6x - 5 <em>add 5 to both sides</em>
24 = 6x <em>divide both sides by 6</em>
4 = x
m∠BOC = 2x + 10 → m∠BOC = 2(4) + 10 = 8 + 10 = 18
m∠AOB = 4x - 15 → m∠AOB = 4(4) - 15 = 16 - 15 = 1
<h3>Answer: c. m∠BOC = 18°, m∠AOB = 1°</h3>
Answer:
c^d or -5^2
Step-by-step explanation:
The equation of the slope-intercept form of the perpendicular line is: y = -1/4x + 9.
<h3>What is the Equation of a Line?</h3>
The equation of a line that has a slope of m and a y-intercept of b can be written in slope-intercept form as:
y = mx + b.
Note that, the slope of two lines that are perpendicular to each would always be negative reciprocals to each other.
Rewrite the equation, -4x + y = -1 in slope-intercept form:
y = 4x - 1
The slope of -4x + y = -1 is 4. The negative reciprocal of 4 is -1/4. The line perpendicular to -4x + y = -1 is therefore -1/4.
Find the y-intercept (b) by substituting m = -1/4 and (x, y) = (8, 7) into y = mx + b:
7 = -1/4(8) + b
7 = -2 + b
7 + 2 = b
b = 9
To write the equation of the perpendicular line, substitute b = 9 and m = -1/4 into y = mx + b:
y = -1/4x + 9
Learn more about the slope-intercept form on:
brainly.com/question/1884491
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Answer:
Simplify the expression35into an equivalentradical expression.
x=35
Step-by-step explanation: