Answer:
(a,b) is the mid-point of Line segment joining the points A(10,−6) and B(k,4)
So,
a=
2
10+k
and b=
2
−6+4
=−1
It is given that,
a−2b=18
Put b=−1
a−2(−1)=18
a=18−2=16
Now,
a=
2
10+k
16=
2
10+k
k+10=32
k=22
Step-by-step explanation:
it is good
Answer:
1/8
Step-by-step explanation:
2^(-3) = (1/2)^3 = 1/2^3 = 1/8
X = 3y
/3 /3
y = 3x
the answer is y = 3x
Answer:
Step-by-step explanation:
6
You will need to start with something very easy.
= cents for pennies
= cents for quarters
After that, we make a longer equation.
![x+y=41](https://tex.z-dn.net/?f=x%2By%3D41)
Now, we have the basics.
![5x+25y=465 (cents)](https://tex.z-dn.net/?f=5x%2B25y%3D465%20%28cents%29)
Moving onto a harder equation:
![y=41-x](https://tex.z-dn.net/?f=y%3D41-x)
We took the
, '
' and put it after the 41, but the
stays the same.
We put this equation into the '
' and cancel out both
s
Now, we have an easier equation:
![5x+25(41-x)=465\\\\25*41+(5x-25x)=465\\\\25*41+(-20x)=465\\](https://tex.z-dn.net/?f=5x%2B25%2841-x%29%3D465%5C%5C%5C%5C25%2A41%2B%285x-25x%29%3D465%5C%5C%5C%5C25%2A41%2B%28-20x%29%3D465%5C%5C)
We cannot solve the
like this so, we bring the
to the right side.
![-20x=465-(25*41)\\\\-20x=465-1025\\\\\\-20x=-560\\\\20x=560\\\\x=28](https://tex.z-dn.net/?f=-20x%3D465-%2825%2A41%29%5C%5C%5C%5C-20x%3D465-1025%5C%5C%5C%5C%5C%5C-20x%3D-560%5C%5C%5C%5C20x%3D560%5C%5C%5C%5Cx%3D28)
We can now solve for
.
![28+y=41\\\\\\41-28=y\\\\y=13](https://tex.z-dn.net/?f=28%2By%3D41%5C%5C%5C%5C%5C%5C41-28%3Dy%5C%5C%5C%5Cy%3D13)
13 quarters and 28 pennies. Hope this helped!