Answer:
As the picture shows, we have
V = (x+5)(x-2)x =30x
<=> x(x^2+3x-10) =30x
<=> x^3 + 3x^2-10x-30x = 0(*)
<=> x^3 +3x^2 -40x = 0
<=> x(x-5)(x+8) =0
Solve for (*), there are 3 solution :
5,
0(invalid),
-8(invalid)
=> 3 dimensions of rectangular box: 5, 3, 10
(x-7)(x-5)=x-7
(x-7)(x-5)-(x-7)=0
(x-7)[(x-5)-1]=0
(x-7)(x-6)=0
x=7 or x=6
Hope this can help.
Answer:
The first one is ur answer
Step-by-step explanation:
Answer:
A cup of juice will cost 1.04 US dollars
Step-by-step explanation:
Here, we want to know the cost of one cup of juice in US dollars.
The cost of a quart of juice is Canada is 4.40CAN
now, since there are 4 cups in a quart, the cost of a cup of juice will be 4.40/4 = 1.10 CAN
Moving on;
We are told that 1 USD = 1.06 CAN ;
thus x usd = 1.10 CAN
1 * 1.10 = x * 1.06
x = 1.10/1.06
x = 1.037 which is approximately 1.04 USD
Since they are perpendicular the slopes of the two lines must be opposite (meaning they must have opposite signs such as "1" and "-1") as well as be reciprocals (meaning the fraction must be flipped, in example with this problem as the reciprocal of "-4/3" is "-3/4")
the slope of line L must be 3/4
