Answer:
y = -1/2x + 3/2
Step-by-step explanation:
(2-0)/(-1-0) = -1/2
2 = -1/2(-1) + b
2 = 1/2 + b
b = 3/2
Answer:

Step-by-step explanation:
The equation of the line through the point
&
can be represented by:

Making m the subject;

∴
we need to carry out the equation of the line through (0,1) and (1,2)
i.e
y - 1 = m(x - 0)
y - 1 = mx
where;

m = 1
Thus;
y - 1 = (1)x
y - 1 = x ---- (1)
The equation of the line through (1,2) & (4,1) is:
y -2 = m (x - 1)
where;


∴

-3(y-2) = x - 1
-3y + 6 = x - 1
x = -3y + 7
Thus: for equation of two lines
x = y - 1
x = -3y + 7
i.e.
y - 1 = -3y + 7
y + 3y = 1 + 7
4y = 8
y = 2
Now, y ranges from 1 → 2 & x ranges from y - 1 to -3y + 7
∴



![\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( [xy^2]^{-3y+7}_{y-1} \bigg ) \ dy](https://tex.z-dn.net/?f=%5Ciint_D%208y%5E2%20%5C%20dA%20%3D8%20%5Cint%5E2_1%20%20%5Cbigg%20%28%20%5Bxy%5E2%5D%5E%7B-3y%2B7%7D_%7By-1%7D%20%5Cbigg%20%29%20%5C%20dy)
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![\iint_D 8y^2 \ dA =8 \bigg [ -15+ \dfrac{56}{3}\bigg]](https://tex.z-dn.net/?f=%5Ciint_D%208y%5E2%20%5C%20dA%20%3D8%20%5Cbigg%20%5B%20-15%2B%20%5Cdfrac%7B56%7D%7B3%7D%5Cbigg%5D)
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Make all of the units equal.
1 gal = 4 quarts = 8 pints
1 quart = 2 pints
18 pt - 5 pt
13 pints or
1 gal 2 qt 1 pt
Answer:
(y - x)/(y + x)
Step-by-step explanation:
(1/x - 1/y)/(1/x + 1/y) =
= (1/x - 1/y)/(1/x + 1/y) × (xy)/(xy)
= (y - x)/(y + x)
Answer:
(D)14
Step-by-step explanation:
17-2x=-11
17+11=2x
28=2x
28/2=2x/2
14=x
x=14