Answer:
y + 6 = 2/3 (x - 2)
Step-by-step explanation:
Step 1. Find the slope
m = slope
m = change in y/change in x
m = (y2 - y1)/(x2 - x1)
points: (2, -6) & (8, -2)
m = (-2 - -6)/(8 - 2)
m = 4/6
m = 2/3
Step 2. Create the point-slope equation by using the slope and the first point
Point-slope formula: y - y1 = m(x - x1)
Where m = slope and (x1, y1) = first point
Point-slope form: y + 6 = 2/3 (x - 2)
Answer:
D) 65
Step-by-step explanation:
The formula for direct variation is
y = kx
where k is the constant of variation.
If we know y=32.5 and x=5, we can substitute in to calculate k
32.5 = k * 5
Divide each side by 5
32.5/5 = k
6.5 = k
So the equation is
y = 6.5k
Given x =10
y = 6.5*10
y = 65
Answer:
$15, $8, $1, respectively
Step-by-step explanation:
Line up the number of years with the line and check the pay.
Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
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