Answer:
- 3 feet is the start point
Step-by-step explanation:
<u>Function given:</u>
- h(t) = −4.5t2 + 19.6t + 3
At t =0 we get h(0) = 3. This is called y-intercept
It is the start point indicating the disc was thrown at 3 feet height
An equation does not always have a solution. Sometimes, an equation can have a variable that does not equal the remaining value on the other side. For example, root negative x could never equal a number squared.
√-x ≠ 14²
This equation cannot have a solution because you can't square any number to get a negative solution. Therefore, x= no solution.
Answer:
Multiple the first equation by -1
Step-by-step explanation:
After doing this you add the two equations together and follow the systems of equations as normal
Therefore y = 2
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter
Hope this helped!
Answer:
slope =0
Step-by-step explanation:
Given that the vertices of a rectangle in the standard (x,y) coordinate plane are (0,0), (0,4), (7,0), and (7,4).
The rectangle has length = 7 and width =4
We know rectangle has two lines of symmetry which are i) vertical line through mid point ii) Horizontal line through mid point
Since the line passes through (2,2) we have the line as middle line.
Hence the required line is
Slope of the line =0
