Answer:
C(9,8) and r=2
Step-by-step explanation:
k:(x-9)^2 +(y-8)^2 =4
k:(x-p)^2 +(y-q) ^2 =r^2
p=9, q=8, r=2-radius
C(p,q)=C(9,8)-center
Since one piece is four time the length <em>x, </em>we can represent that as 4x.
Thus making the equation:
4x+x=275
5x=275
x=55
4(55)=220
220+55=275
So, the length of the longer piece is 220 inches, and the length of the shorter piece is 55 inches.
Answer:
the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4
Step-by-step explanation:
Let x and y represent jan and Bev's average walk rate.
Also t represent the time taken for Bev to walk 4 miles, so it will take jan 2t time to walk 6 miles
Given that;
It takes Jan twice as many hours to walk 6 miles as it takes Bev to walk 4 miles
For Bev;
y = 4/t
For Jan;
x = 6/(2t) = 3/t
the ratio of Jan's average walking rate to Bev's average walking rate is;
x/y = (3/t)/(4/t) = 3/4
the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4
8=384 9=248 hope this helped
Answer:
Below.
Step-by-step explanation:
f(x)=3x^2-6x-45/x^2-5x
= 3x^2-6x-45 / (x(x - 5))
The denominator is zero when x - 0 and x = 5.
So there will be a vertical asymptote at x = 0 and a hole at x = 5.
If we do the division we get f(x) = 3 remainder 9x - 45
so there will also be a horizontal asymptote where x = 3.