Answer:
length = 37
Step-by-step explanation:
w= x
l= 3x + 1
to get the perimeter you need to add all sides.
x + x + 3x + 3x + 1 + 1 = 98
8x + 2 = 98
8x = 96
x = 12
To get the length plug in the value of the x to 3x + 1.
length = 3(12) +1
length = 37
Answer:
3x2 + 2x3 + 2x1 =14
Step-by-step explanation:
3x2 = 6 +
2x3 = 6 +
2x1 = 2 =
14
<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
We want the sum of the two rolls to be less that five.
Therefore, we will examine each given set of choices and choose the one where all the points have a sum less than 5.
First set: all the point are 5 added to another number. Therefore, the sum is definitely not less than 5. This choice is rejected.
Second set: We have two points having 6 added to a number. Therefore, this choice is also rejected.
Third set: We have the points (5,5) and (6,6) which have a sum greater than 5. Therefore, this set is also rejected.
Fourth set: We have:
(1,1) with sum = 2
(1,2) with sum = 3
(1,3) with sum = 4
(2,1) with sum = 3
(2,2) with sum = 4
(3,1) with sum = 4
Therefore, all sums are less than 5. This is the correct choice.
Based on the above, the correct option is the last one.