Answer:
C
Step-by-step explanation:
Answer:
162.06
Step-by-step explanation:
sorry i'm not the best an explaining but i'm confident in my answer.
the first thing to do is get rid of the ² in x²+y²=24, we do this by √24 which ≅4.90 (i rounded to the hundreth place)
then we have this
x-y=6
x+y=4.90
I am using the elmination method. To do that you need to get two letters to have the same coefficient (in 4x 4 is the coefficient) with oposite signs (one possitive one negitive)
In our equation here we see that the same coefficient is 0, and there is oposite signs for y. Therefore we can add the two equations and get
2x=10.9 (the y cancels out)
now we have a simple equation and all that is left is to solve it
10.9/2=5.45
x=5.45
Now we need to find y we do that by pluging the x value into one of the equations I choose the first one becasue its easiest.
(5.45)-y=6
y= - .55
now that we have both x and y plug them into the final equation (5.45)³-(-.55)³= 161.89-(-.17) =162.06
Therefore x³-y³≅162.06!
(if you have any questions or would like to debate the answer please let me know!)
Answer:
the left hand side is equals to |13| which is nothing but 13 so is the right hand side.
Answer:
6. No. See explanation below.
7. 18 months
8. 16
Step-by-step explanation:
6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.
Let's find the GCF of 85 and 99:
85 = 5 * 17
99 = 3^2 + 11
5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.
Answer: No because the GCF of 85 and 99 is 1.
7.
We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.
6 = 2 * 3
9 = 3^2
LCM = 2 * 3^2 = 2 * 9 = 18
Answer: 18 months
We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.
Month Charlie Dasha
1 home home
2 home home
3 home home
4 home home
5 home home
6 trip home
7 home home
8 home home
9 home trip
10 home home
11 home home
12 trip home
13 home home
14 home home
15 home home
16 home home
17 home home
18 trip trip
Answer: 18 months
8.
First, we find the prime factorizations of 96 an 80.
96 = 2^5 * 3
80 = 2^4 *5
GCF = 2^4 = 16
Answer: 16