Step-by-step explanation:
Hey there!
Follow the steps to get answer.
- Use one point formula and find 1st equation.
- After that you find the slope of second equation.
- Use the condition of perpendicular lines and find the slope of first equation.
- Put slope value of equation in equation (i) and simplify them to get equation.
The equation of a line passing through point (2,3) is;
(y-3)= m1(x-2).......(i).
Another equation is;

2nd equation..
Now, From equation (ii)
We have;
Comparing equation (ii) with y = mx+c.
We get;
Slope = -1/2.
For perpendicular lines,


Therefore the slope is 2.
Put value of slope (m1) in equation (i). We get;

Simplify them to get equation.


Therefore the required equation is y = 2x-1.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
2.0 seconds
Step-by-step explanation:
<u>Given quadratic functions</u>:

To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:

<u>Factor</u> the quadratic:

Apply the <u>zero-product property</u> to solve for x:


Therefore, the balloons collided at 1 second and 2 seconds.
To find at which time the highest point of collision occured, substitute both values of x into one of the functions:


Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.
Learn more about quadratic systems of equations here:
brainly.com/question/27930827
Answer:
The answer is C.
Step-by-step explanation:
The first line's slope is 2x and it y-intercept is 4. The second line's slope is simple 1x or just x (they are both the same).
44
Step-by-step explanation:
The line is pointing to 44 and the small lines are counting by two