Answer:
2.5 is 12PM temp and difference is 3.9
Step-by-step explanation:
-0.5+3 because it is warmer and this is 2.5 also both B and C can be done to get the correct answer. and that is 2.5--1.4 which is the same as 2.5+1.4 which is 3.9
A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes
<span>(2 - 5 , 2 + 2) = (-3,4) </span>
When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes
<span>(-3,-4)</span>
You need to use the distance formula
so the distance between points (5,-2) and (-3,8) is
which won't simplify so it stays as is
Answer:
height: 16 inch
length of base: 10 inch
width of base: 50 feet
Step-by-step explanation:
128*(1/8)=16 inch
80*(1/8)=10 inch
x*1/8=6.25
x=6.25*8=50 feet
The correct question is:
Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)
Answer:
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
Step-by-step explanation:
We need to verify that
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
We differentiate
x = c1e^(-t) + c2e^(3t)
twice in succession, and substitute the values of x, x', and x'' into the differential equation
x''- 2x' - 3x = 0
and see if it is satisfied.
Let us do that.
x = c1e^(-t) + c2e^(3t)
x' = -c1e^(-t) + 3c2e^(3t)
x'' = c1e^(-t) + 9c2e^(3t)
Now,
x''- 2x' - 3x = [c1e^(-t) + 9c2e^(3t)] - 2[-c1e^(-t) + 3c2e^(3t)] - 3[c1e^(-t) + c2e^(3t)]
= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)
= 0
Therefore, the differential equation is satisfied, and hence, x is a solution.
