The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1
<h3>Equation of a line</h3>
A line is the distance between two points
Given the equation of a line expressed as 10x + 2y = -2. Determine the slope
2y = -10x -2
y = -5x - 1
Slope of the line is -5
The equation of a line in point-slope form is y - y1 = m(x-x1)
Substitute the point and the slope of the parallel line
y - 12 = -5(x - 0)
y - 12 = -5x
y = -5x + 12
Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12
Learn more on equation of a line here: brainly.com/question/13763238
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Answer:
Step-by-step explanation:
![a = \frac{2b+1}{3b-1}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B2b%2B1%7D%7B3b-1%7D)
b = 2/3
![2b + 1 = 2*\frac{2}{3}+1\\\\=\frac{4}{3}+1\\\\=\frac{4}{3}+\frac{3}{3}\\\\=\frac{7}{3}\\\\3b-1 = 3*\frac{2}{3}-1\\\\=2- 1 = 1\\\\\\](https://tex.z-dn.net/?f=2b%20%2B%201%20%3D%202%2A%5Cfrac%7B2%7D%7B3%7D%2B1%5C%5C%5C%5C%3D%5Cfrac%7B4%7D%7B3%7D%2B1%5C%5C%5C%5C%3D%5Cfrac%7B4%7D%7B3%7D%2B%5Cfrac%7B3%7D%7B3%7D%5C%5C%5C%5C%3D%5Cfrac%7B7%7D%7B3%7D%5C%5C%5C%5C3b-1%20%3D%203%2A%5Cfrac%7B2%7D%7B3%7D-1%5C%5C%5C%5C%3D2-%201%20%3D%201%5C%5C%5C%5C%5C%5C)
![a = \frac{2b+1}{3b-1}\\\\a=\frac{\frac{7}{3}}{1}\\\\=\frac{7}{3}\\\\](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B2b%2B1%7D%7B3b-1%7D%5C%5C%5C%5Ca%3D%5Cfrac%7B%5Cfrac%7B7%7D%7B3%7D%7D%7B1%7D%5C%5C%5C%5C%3D%5Cfrac%7B7%7D%7B3%7D%5C%5C%5C%5C)
a = 7/3
b)
![\frac{2b+1}{3b-1}=a\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B2b%2B1%7D%7B3b-1%7D%3Da%5C%5C%5C%5C)
Cross multiply,
2b + 1 = a*(3b - 1)
2b + 1 = a*3b - 3*a
2b + 1 = 3ab- 3a
2b = 3ab - 3a - 1
2b - 3ab = -3a - 1
b(2 - 3a) = -3a - 1
![b =\frac{-3a - 1}{2 - 3a}](https://tex.z-dn.net/?f=b%20%3D%5Cfrac%7B-3a%20-%201%7D%7B2%20-%203a%7D)
Answer: 21
Step-by-step explanation:
5%x420= 21
Step-by-step explanation:
<h2>
Sum of two complementary angle is 90°</h2><h2 /><h2>
so. </h2><h2>
<R+<S =90°</h2><h2>
12x-3+7x-2=90°</h2><h2>
19x-5=90°</h2><h2>
19x=95°</h2><h2>
X= 5</h2>
<h2>
<R= 60-3=57°</h2>