Answer:
(-1,-4) & (4,6)
Step-by-step explanation:
Solution is the point(s) (x,y) which lie on both the functions.
(-1,-4) & (4,6) are the points common to both functions
6x + 7 = 8x - 17
6x- 8x = -17 - 7
-2x = -24 • divide both sides by -2
Thefore x = 12
Answer:
480 feet.
Step-by-step explanation:
We are told that the function 
models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.
To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.
Upon substituting t=0 in our function we will get,
Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.
First off, I think the equation should have a negative 9 in it originally and then you move it to the other side and it becomes positive.
You'll basically complete the square for two equations at the same time. Set it up like this:
(16x^2 + 96x) + (9y^2 - 18y) = 9
Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.
(x^2 + 6x) + (y^2 - 2y) = 9/144
then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.
For instance the first one will be 6/2 = 3^2 = 9
The next one will be 2/2 =1^2 = 1
Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.
(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1
Then find a common denominator on the right side of the equals sign and add them all together to get:
(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144
Factor out the two polynomials
(x+3)^2 + (y-1)^2 = 1449/144
the center of the circle is (-3,1) according to the factored out polynomials and the radius will be the square root of the number on the right side of the equals sign = sqrt(1449/144) = 3.17
