Answer:
5.692 × 103.
Step-by-step explanation:
We need to find the remainder- the sticker left over
Divide 23 stickers into 4 piles = 23/4= 5 stickers per pile and 3 stickers left over
D. She would have 3 stickers left over
Answer:
92, 184, 276, 368, 460, 552, 644, 736, 828, 920
Step-by-step explanation:
hope this helps :D
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Using substitution:
4x+2y=12
y=8x+1
4x+2(8x+1)=12
distribute
4x+16x+2=12
combine like terms
18x+2=12
subtract 2 from both sides
20x=10
divide each side by 20
x=10/20
reduce
x=1/2
plug in x for the y= equation
y=8(1/2)+1
multiply
y=4+1
add
y=5
answer:
(1/2,5)
Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:
<em>y</em> = -1 - <em>x</em> ==> <em>x</em> = -1 - <em>y</em>
<em>y</em> = <em>x</em> - 1 ==> <em>x</em> = 1 + <em>y</em>
So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.
This means the area is given by the integral,
The integral with respect to <em>x</em> is trivial:
For the remaining integral, integrate term-by-term to get
Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.