9514 1404 393
Answer:
(-5, -2)
Step-by-step explanation:
That point P can be found from ...
P = A + 1/5(B -A)
P = (4/5)A +(1/5)B = (4A +B)/5
P = (4(-6, -4) +(-1, 6))/5 = (-24-1, -16+6)/5 = (-25, -10)/5
P = (-5, -2)
Answer:
17822
Step-by-step explanation:
The number that are divisible by 7 between 30 and 500 are as follows :
35, 42,49,.....,497
It will form an AP with first term, a = 35 and common difference, d = 7
Let there are n terms in the AP.
nth term of an AP is given by :

Putting all the values,

Now, the sum of n terms of an AP is given by :
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Putting all the values,
![S_n=\dfrac{67}{2}[2(35)+(67-1)7]\\\\S_n=17822](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B67%7D%7B2%7D%5B2%2835%29%2B%2867-1%297%5D%5C%5C%5C%5CS_n%3D17822)
Hence, the sum of the numbers that are divisible by 7 between 30 and 500 is 17822.
Answer:
The reflection is in the y-axis cause the y point went from -7 to 7 and the x point stayed the same.
Answer:
I can't really help u with this because I already struggle enough with this kind of math that I don't even learn it any more.
Step-by-step explanation:
But I hope the other person answers the problem for u and know how to do this one.
Answer:
35
Step-by-step explanation:
6 pies = 21 cups of apples
1 pie = 3.5 cups of apples
10 pies = 35 cups of apples