Answer:
10×6
= 60
Step-by-step explanation:
maaf kalau salah
Answer:
C
Step-by-step explanation:
The maximum pounds of celery she can buy is 3.25 pounds.
<h3>What are the linear equations that represent the question?</h3>
1.5c = o equation 1
1.50o + 1.80c = 8.10 equation 2
Where:
o = pounds of onions
c = pounds of celery
How many pounds of celery can she buy?
Substitute for o in equation 2 using equation 1
1.50(1.50) + 1.80c = 8.10
2.25 + 1.80c = 8.10
1.80 = 8.10 - 2.25
1.80c = 5.85
c = 5.85 / 1.80
c = 3.25 pounds
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The equation of line perpendicular to given line passing through (8,-5) is:
![y = -\frac{3}{4}x +1](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B4%7Dx%20%2B1)
Step-by-step explanation:
Given equation of line is:
![4x-3y = 15\\3y = 4x -15\\\frac{3y}{3} = \frac{4x-15}[3}\\y = \frac{4}{3}x - \frac{15}{3}\\ y = \frac{4}{3}x - 5](https://tex.z-dn.net/?f=4x-3y%20%3D%2015%5C%5C3y%20%3D%204x%20-15%5C%5C%5Cfrac%7B3y%7D%7B3%7D%20%3D%20%5Cfrac%7B4x-15%7D%5B3%7D%5C%5Cy%20%3D%20%5Cfrac%7B4%7D%7B3%7Dx%20-%20%5Cfrac%7B15%7D%7B3%7D%5C%5C%20y%20%3D%20%5Cfrac%7B4%7D%7B3%7Dx%20-%205)
Let m1 be the slope of given line
then
m1 = 4/3
Let m2 be the slope of line perpendicular to given line
As we know that the product of slopes of two perpendicular line is -1
![m_1.m_2 = -1\\\frac{4}{3} . m_2 = -1\\m_2= -\frac{3}{4}](https://tex.z-dn.net/?f=m_1.m_2%20%3D%20-1%5C%5C%5Cfrac%7B4%7D%7B3%7D%20.%20m_2%20%3D%20-1%5C%5Cm_2%3D%20-%5Cfrac%7B3%7D%7B4%7D)
Equation of line is given by:
![y = m_2x+b](https://tex.z-dn.net/?f=y%20%3D%20m_2x%2Bb)
Putting the value of the slope
![y = -\frac{3}{4}x +b](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B4%7Dx%20%2Bb)
Putting the point (8,-5) in equation
![-5 = -\frac{3}{4} (8) +b\\-5 = -3 * 2 +b\\-5 = -6 +b\\b = -5+6\\b = 1](https://tex.z-dn.net/?f=-5%20%3D%20-%5Cfrac%7B3%7D%7B4%7D%20%288%29%20%2Bb%5C%5C-5%20%3D%20-3%20%2A%202%20%2Bb%5C%5C-5%20%3D%20-6%20%2Bb%5C%5Cb%20%3D%20-5%2B6%5C%5Cb%20%3D%201)
Putting the value of b in equation
![y = -\frac{3}{4}x +1](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B4%7Dx%20%2B1)
Hence,
The equation of line perpendicular to given line passing through (8,-5) is:
![y = -\frac{3}{4}x +1](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B4%7Dx%20%2B1)
Keywords: Equation of line, slope
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-9h - 6 + 12h + 40 = 22
3h + 34 = 22
3h = -12
h = -12/3
h = -4