Convert the following base 10 numbers to the respective base indicated .
1 answer:
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Answer:
Step-by-step explanation:
<u>Perpendicular Bisector</u>
The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.
The midpoint (xm,ym) is calculated as follows:
The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:
Midpoint: M(1,-6)
Let's find the slope of the given segment. The slope can be calculated with the formula:
If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:
Solving for m2:
Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:
Operating
Rearranging
Answer:
Number of 10 cents = 18
Number of 20 cents = 10
Step-by-step explanation:
Let number of 10 cents be = x
Let number 20 cents be = y
Total number of coins = x + y = 28 -------- ( 1 )
Total amount in the box = 0.10 x + 0.20y = 3.80 ---------- ( 2 )
<em><u>Solve the equations to find x and y</u></em>
( 1 ) => x + y = 28
x = 28 - y
Substitute x in ( 2 )
( 2 ) => 0.10(28 - y) + 0.20y = 3.80
2.80 - 0.10y + 0.20y = 3.80
0.10 y = 3.80 - 2.80
0.10 y = 1.00
y = 10
Substitute y in ( 1 ) => x + y = 28
x + 10 = 28
x = 28 - 10
x = 18