Answer: Coordinate Plane is formed by two number lines that intersect at a right angle.
So, let's first find the slope of the second question:
Our second equation has a slope of one half, so we know that a line perpendicular to it will have the negative reciprocal slope of that, so -2. We have this now as our equation:
![y=-2x+b](https://tex.z-dn.net/?f=%20y%3D-2x%2Bb%20)
We are given the point (3,-6), so let's plug the x and y in and find our b:
![-6=-2(3)+b \implies\\ -6=-6+b \implies\\ 0=b](https://tex.z-dn.net/?f=%20-6%3D-2%283%29%2Bb%20%5Cimplies%5C%5C%20-6%3D-6%2Bb%20%5Cimplies%5C%5C%200%3Db%20)
Since our b is 0, our equation is simply:
![y=-2x](https://tex.z-dn.net/?f=%20y%3D-2x%20)
Answer:
4
Step-by-step explanation:
If 15% of quizzes don't have to be A's, that means that its 9 quizes that can be lower than an A. She already lost 5 which means she has four left.
Answer: The projectile reaches its maximum height after 20 seconds.
Step-by-step explanation:
Given the function:
![h(t) = -16t^2 + 640t](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%20640t)
You can following formula (which gives the x -coordinate of the vertex of the parabola) in order to find after how many seconds the projectile takes to reach its maximum height:
![x=t=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3Dt%3D-%5Cfrac%7Bb%7D%7B2a%7D)
In this case you can identify that the values of "a" and "b" are:
![a=-16\\b=640](https://tex.z-dn.net/?f=a%3D-16%5C%5Cb%3D640)
Then, substituting values into the formula, you get the following result:
![t=-\frac{640}{2(-16)}\\\\t=20](https://tex.z-dn.net/?f=t%3D-%5Cfrac%7B640%7D%7B2%28-16%29%7D%5C%5C%5C%5Ct%3D20)
Therefore,based on this, the conclusion is: The projectile reaches its maximum height after 20 seconds.
Choices A, C and F work. This is because when in radical form, you may dive or subtract as long as you keep the sign. The square root of 9 is 3 and the square root of 4 is 2. When you solve it, the answer is 6. Hope this helped!