Answer:
Width: 85 yards
Length: 95 yards
Step-by-step explanation:
Ok, so we need to make an equation for this problem. Let's call the width, w. We know that the length is 10 more than the width, so we can call it w +10.
180 = w + w + 10
Now, i order to isolate the w's we need to subtract 10 from each side.
170 = 2w
Now, we just have to divide by 2 on both sides.
W = 85
So we now know that the width is 85 and because the length is 10 more, the length is 95 yds.
L(t)=9-0.5t
t=time in hours,
L(t)=length of candle at time t
(A) substitute t=1,2,3,4,5,6 respectively to get
(1,8.5)
(2,8)
(3,7.5)
(4,7)
(5,6.5)
(6,6)
(B) it is a function because none of the x-values duplicate, (nor the y-values).
(C) If the rate changes to 0.45 "/hr, the relation is still linear.
All linear function with finite slope are functions.
{-2x-5y=13
<u>{2x-5y=17 </u>(+)
<em /> -2x+2x-5y-5y=13+17
-10y=30 /:(-10)
y=-3
2x-5y=17
2x-5*(-3)=17
2x+15=17
2x=2
x=1
<em>Solution: (1; -3)</em>
This one is prime. The sum of two squares doesn't factor.
The more interesting case is q^2-1, which factors into (q-1)(q+1).
