9514 1404 393
Answer:
y = 2/3x -20/3
Step-by-step explanation:
The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:
-1/(-3/2) = 2/3
You can use the point-slope form to write the equation of that perpendicular line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line
__
This can be put into slope-intercept form by solving for y and simplifying.
y +2 = 2/3x -14/3
y = 2/3x -20/3
Answer:
45
Step-by-step explanation:
Answer:
The vertex form of the equation is 
.
Step-by-step explanation:
You will use the equation 
to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get 
.
Then, we substitute the point as our x and y to get 
(a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the 
to get 
. Finally, divide by 9 on both sides to get 
.
Now, substitute your 
back into the equation to get y = 
.
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get 
.
The sides of the frame are (12+2x) and (6+2x).
Its area A is 112.
Therefore by equating:
(12+2x)*(6+2x)=112
you can get the answer for x. You will obtain a quadratic equation you have to solve.
