The vertex and the t-intercept where t>0, will help solve this problem. Sending the work on the attachment.
Answer:
10, 100
Step-by-step explanation:
Each term is multiplied by the common ratio to get the next term.
... 1 × 10 = 10 . . . . . second term
... 10 × 10 = 100 . . . third term
the answer is and i hope this helps you
D- EH
Answer:
![B(-7,-4)](https://tex.z-dn.net/?f=B%28-7%2C-4%29)
Step-by-step explanation:
Let the co-ordinates of B be ![(x_{2},y_{2})](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29)
If a point
is a mid-point of line segment AB with
and
, then:
![x=\frac{x_{1}+x_{2}}{2}\\y=\frac{y_{1}+y_{2}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%5C%5Cy%3D%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D)
Here,
is
is
.
So, ![x = -4, y = -3, x_{1} = -1, y_{1}=-2](https://tex.z-dn.net/?f=x%20%3D%20-4%2C%20y%20%3D%20-3%2C%20x_%7B1%7D%20%3D%20-1%2C%20y_%7B1%7D%3D-2)
Plug in the formula and solve for unknowns.
![x=\frac{x_{1}+x_{2}}{2}\\-4=\frac{-1+x_{2}}{2}\\x_{2}=-8+1=-7\\\\y=\frac{y_{1}+y_{2}}{2}\\-3=\frac{-2+y_{2}}{2}\\y_{2}=-6+2=-4](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%5C%5C-4%3D%5Cfrac%7B-1%2Bx_%7B2%7D%7D%7B2%7D%5C%5Cx_%7B2%7D%3D-8%2B1%3D-7%5C%5C%5C%5Cy%3D%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D%5C%5C-3%3D%5Cfrac%7B-2%2By_%7B2%7D%7D%7B2%7D%5C%5Cy_%7B2%7D%3D-6%2B2%3D-4)
Therefore, the co-ordinates of point B are ![B(-7,-4)](https://tex.z-dn.net/?f=B%28-7%2C-4%29)