Answer:
y = 2
Step-by-step explanation:
x= -1+y
2x-y=0
2(-1+y)-y=0
-2+2y-y=0
-2+y=0
-2+2+y=0+2
y=2
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#
Answer:
340
Step-by-step explanation:
10 ×16=160
12×15=180
160+180=340 so a total of 340 calendars
Step-by-step explanation:
Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.
We have y - y₁ = m (x - x₁) (m = 3, x₁ = 2, y₁ = -2)
y- (-2) = 3 (x - 2)
y + 2 = 3x - 6
y = 3x - 8
Hope this helps!
Answer:
Step-by-step explanation:
Approximate the integral 
by dividing the region 
with vertices (0,0),(4,0),(4,2) and (0,2) into eight equal squares.
Find the sum 
Since all are equal squares, so 
for every 
Thus, 
Evaluating the iterate integral ![\int\limits^4_0 \int\limits^2_0 {(x+y)} \, dydx=\int\limits^4_0 {[xy+\frac{y^2}{2} ]}\limits^2_0 \, dx =\int\limits^4_0 {[2x+2]}dx\\\\=[x^2+2x]\limits^4_0=24.](https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_0%20%5Cint%5Climits%5E2_0%20%7B%28x%2By%29%7D%20%5C%2C%20dydx%3D%5Cint%5Climits%5E4_0%20%7B%5Bxy%2B%5Cfrac%7By%5E2%7D%7B2%7D%20%5D%7D%5Climits%5E2_0%20%5C%2C%20dx%20%3D%5Cint%5Climits%5E4_0%20%7B%5B2x%2B2%5D%7Ddx%5C%5C%5C%5C%3D%5Bx%5E2%2B2x%5D%5Climits%5E4_0%3D24.)
Thus, 
