We are given with the following vertices:
A (0,0)
B (-1,1)
C(6,1)
D (2.0)
Next is to plot the vertices in the Cartesian plane so that we can identify the figure. See attached image.
The identified shape is a "Parallelogram".
Answer:
it is 8
Step-by-step explanation:
because EG is E+G which is 8+3 which equals 11 so it is 8
Answer:
- 168.25 ft
- 3.125 s
Step-by-step explanation:
It is almost too easy to let a graphing calculator show you the solution. (See attached)
_____
You may be expected to use some actual algebra (or even calculus) to find the solution.
If you've spent any time with quadratics, you know the vertex of ax²+bx+c is located at x=-b/(2a). Here, that means the time to get to the highest point is ...
... t = -100/(2·(-16)) = 100/32 = 3.125 . . . . seconds
Then the highest point is ...
... h(3.125) = -16·3.125² +100·3.125 +12 = 168.25 . . . . feet
_____
Or, you can put the equation into vertex form.
... h(t) = -16t² +100t +12
... = -16(t² +6.25t) +12
... = -16(t² +6.25t +3.125²) +12 +16·3.125² . . . . . add the square of half the t coefficient inside parentheses; add the opposite of the same amount outside parentheses
... = -16(t +3.125)² +168.25 . . . . . simplify
This tells us the peak of the travel of the bullet is at 168.25 ft after 3.125 seconds.
Answer: Center (0, -8) and Radius = 2
The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.
Answer:
4.) 40 Apps can be downloaded in 1 minute
5.) 0.2 or 2/10 of a miles can be traveled in 1 second
Step-by-step explanation:
4.)
So 12 seconds is = to 1/5 of a minute
So the question asks for 1 minute
This means that we need to perform 1/5 *5 to get 1 minute
If we multiply 5 to 1/5 minutes, we also need to multiply 5 to the apps
8 * 5 = 40
So that is how we solved the answer.
So DeAndre can download 40 Apps in 1 minute.
5.)
So he traveled 1/10 miles in 1/2 or 0.5 seconds.
This means we can multiply the seconds by 2 to get 1 second.
0.5 * 2 = 1
If we multiply the seconds by 2 we also need to multiply the miles traveled by 2.
So (1/10) * 2
The 2 can be rewritten as (2/1) because 2/1 is the same as 2
(2/1) * (1/10)
So we multiply straight out and get 2/10 miles traveled which can be simplified to 1/5 miles traveled.
