Answer:
y=3/2x - 11
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope, take the slope from the equation -2/3 and make the negative reciprocal of it. All perpendicular lines have negative reciprocal slopes between the two lines. The slope is 3/2.
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-1)=3/2(x-8)
y-1= 3/2x -12
y=3/2x - 11
10x + 2y > 20
Solution
<u>Step 1: </u>First we have to rewrite the given equation y in terms of x.
Subtract 10 x from both sides, we get
10x - 10x + 2y > -10x + 20
2y > -10x + 20
Divide both sides by 2, we get
y > -5x + 10
<u>Step 2:</u> Now we have to find the coordinates by plugging in the values of for x = -1, 0, 1
and find the corresponding values for y.
Plug in x = -1,
y = -5(-1) + 10 = 5 + 10 = 15.
<em>The coordinates are (-1, 15)</em>
Plug in x = 0, we get
y = -5(0) +10 = 10
<em>The coordinates are (0, 10)</em>
Plug in x = 1, we get
y = -5(1) + 10 = -5 +10 = 5
<em>The coordinates are (1, 5)</em>
<u>Step 3:</u> Now plot the points on a grid and draw the draw the dotted line because it is greater than. Since it is grater than we have to shaded the region above the line.
Note: Attached the graph. Please have a look at it.
Thank you. :)
Answer:
w= a/3-4p
Step-by-step explanation:
3w+4p=a divide 3 on both sides
w+4p= a/3 subtract 4p on both sides
w= a/3-4p w is now isolated
17
Step-by-step explanation:
16×3=48
48-(11+20) =17
Jane owed her friend Dan 5 dollars. She also owed her sister Jessie 15 dollars. How much debt is Jane in? (ANSWER: -5 + -15= -20$ in debt)