Visual models that use rectangles to represent the parts of a ratio
The ball's velocity will be represented by the derivative of its distance function:

Now find the times

for which this is equal to 30, i.e. solve

This has two solutions,

, but only one is positive and falls in the interval
![[0,3]](https://tex.z-dn.net/?f=%5B0%2C3%5D)
. So the velocity reaches 30 cm/s when

.
Answer:
2=x
Step-by-step explanation:
8(4-x)=7x+2
Distribute
32 - 8x = 7x+2
Add 8x to each side
32 - 8x+8x = 7x+8x+2
32 = 15x+2
Subtract 2 from each side
32-2 = 15x+2-2
30 = 15x
Divide each side by 15
30/15 = 15x/15
2 =x
Step-by-step explanation:
Sum of angles in a triangle = 180°.
Question 3:
We have 90° + 61° + (14x + 1)° = 180°.
=> 14x° + 152° = 180°
=> 14x° = 28°
=> x = 2.
Question 4:
We have 70° + 55° + (4x + 3)° = 180°.
=> 4x° + 128° = 180°
=> 4x° = 52°
=> x = 13.
Answer:
d = 4
Step-by-step explanation: