Answer:
The solution to this equation could not be determined.
Step-by-step explanation:
Simplifying
r + -5h = hr + 2h
Reorder the terms:
-5h + r = hr + 2h
Reorder the terms:
-5h + r = 2h + hr
Solving
-5h + r = 2h + hr
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-2h' to each side of the equation.
-5h + -2h + r = 2h + -2h + hr
Combine like terms: -5h + -2h = -7h
-7h + r = 2h + -2h + hr
Combine like terms: 2h + -2h = 0
-7h + r = 0 + hr
-7h + r = hr
Add '-1hr' to each side of the equation.
-7h + -1hr + r = hr + -1hr
Combine like terms: hr + -1hr = 0
-7h + -1hr + r = 0
Add '-1r' to each side of the equation.
-7h + -1hr + r + -1r = 0 + -1r
Combine like terms: r + -1r = 0
-7h + -1hr + 0 = 0 + -1r
-7h + -1hr = 0 + -1r
Remove the zero:
-7h + -1hr = -1r
Combine like terms: -1r + r = 0
-7h + -1hr + r = 0
The solution to this equation could not be determined.
Answer:
=========
<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
Answer:
7
Step-by-step explanation:
x-7=7-x
2x-7=7
2x=14
x=7
Answer:
m∠C = 38°
Step-by-step explanation:
By the inscribed angle theorem,
"Intercepted arc measures the double of the measure of the inscribed angle"
m(arc AB) = 2[m(∠ACB)]
76° = 2[m(∠ACB)]
m(∠ACB) = 38°
Therefore, measure of angle ACB = 38°.
