Complete the square fr x and y's sepreatly to get into form
(x-h)²+(y-k)²=r²
the center is (h,k) and radius is r
so
group x's and y's seperatly
(4x²-10x)+(4y²+24y)+133/4=0
undistribute leading confident from each
4(x²-2.5x)+4(y²+6y)+133/4=0
take 1/2 of each linear confident and square it and add negative and positive inside the parenthasees
-2.5/2=-1.25 (-1.25)²=1.5625
6/2=3, 3²=9
4(x²-2.5x+1.5625-1.5625)+4(y²+6y+9-9)+133/4=0
factor perfect squares
4((x-1.25)²-1.5625)+4((y+3)²-9)+133/4=0
expand
4(x-1.25)²-6.25+4(y+3)²-36+133/4=0
4(x-1.25)²+4(y+3)²-9=0
add 9 to both sides
4(x-1.25)²+4(y+3)²=9
divide both sides by 4
(x-1.25)²+(y+3)²=9/4
(x-1.25)²+(y+3)²=(3/2)²
the center is (1.25,-3) and the radius is 1.5
Answer:
Step-by-step explanation:
We first have to write an expression for each of the types of coins in terms of one of them. If he has 8 more dimes than nickels, let's call nickels "x". That means that dimes is "x + 8". The value of a nickel is .05, so the expression relating the number of nickels to the worth of the nickel is .05x. The value of a dime is .10, so the expression relating the number of dimes to the worth of the dime is .10(x + 8). The total value of these coins is 1.70:
.05x + .10(x + 8) = 1.70 and
.05x + .10x + .8 = 1.70 and
.15x = .9 so
x = 6
That means we have 6 nickels and 14 dimes.
Answer:
21,40,42
Step-by-step explanation:
That's it.Wish it's correct.:D
