Answer:
1) Given
2) Definition of Midpoint
4) Substitution PoE
5) 4x=16
6) Divison PoE
Step-by-step explanation:
1) is given because it is given.
2) Should be definition of midpoint because a midpoint bisects a line, meaning both sides are congruent.
4) is substitution because, like aforementioned, AC=6x and CD=2x+16, so substitute those numbers in the equation.
5) is 4x=16 because that's what happens when you subtract 6x-2x.
6) should be division PoE because to isolate x you need to divide by 4.
The amount of money each one will make at the end of the day is equals to $21.775.
As per given in the question,
Amount of money earned earned by two friends per hour = $6.50
Total hours spent for baby sitting each day = 6.7hours
Total amount earned by both the friends per day = 6.50 × 6.7
= $ 43.55
Amount of money earned by each one = 43.55 ÷ 2
=$ 21.775
Therefore, the amount of money each one will make at the end of the day is equals to $21.775.
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Rewrite the equations of the given boundary lines:
<em>y</em> = -<em>x</em> + 1 ==> <em>x</em> + <em>y</em> = 1
<em>y</em> = -<em>x</em> + 4 ==> <em>x</em> + <em>y</em> = 4
<em>y</em> = 2<em>x</em> + 2 ==> -2<em>x</em> + <em>y</em> = 2
<em>y</em> = 2<em>x</em> + 5 ==> -2<em>x</em> + <em>y</em> = 5
This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.
Compute the Jacobian determinant for this change of coordinates:

Rewrite the integrand:

The integral is then

Answer:
$1020
Step-by-step explanation:
1/2 of 170 is 85.
85 x 12 = 1020
WOOOO!!!!
092MLBO
Answer:
x intercept is (45/2,0)
y intercept is (0,-36)
Step-by-step explanation:
Slope intercept form of equation of line is
y=mx+b where m is the slope and b is the y intercept
use any two points to find the slope
(10,20) (15,12)

m = -8/5
now we find out b using (10,20)

20 = -16 + b
add 16 on both sides , so b = 36
b is the y intercept , so y intercept is (0,-36)
Now we find x intercept
equation of line is y=mx+b that is 
To find x intercept plug in 0 for y

subtract 36 on both sides

Multiply by -5/8 on both sides


x intercept is (45/2,0)