The coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4) is 
Explanation :
the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)
Apply section formula to find coordinates of point Q
Ratio m:n is 2:3 and point R is (x1,y1) , point S is (x2,y2)
Substitute all the values inside the formula
The coordinates of point Q is
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<span>if a = 2x and b = 1
(2x)</span>³+1³ = (2x+1)(4x²-2x+1)
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Answer:
95 nickels 19 dimes
Step-by-step explanation:
d=dimes
5d=nickels
0.05(5d) + 0.10(d) = 6.65
0.25d + 0.10d = 6.65
0.35d=6.65
Divide by 0.35
d= 19 (19 coins)
19 dimes =$1.9
6.65-1.9= $4.75
Nickels=$4.75
4.75/0.05 = 95 coins
19*5=95
114 coins in total
19*0.10 = 1.9
95*0.05=4.74
4.75+1.9= 6.65
BC = 18
AB = AC, hence
8x - 4 = 5x + 11 ( subtract 5x from both sides )
3x - 4 = 11 ( add 4 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
BC = 4x - 2 = (4 × 5 ) - 2 = 20 - 2 = 18
