Slope is 2 and the y intercept is 4
The height of the rocket is found in terms of the angle as
.. h/(3 mi) = tan(θ)
.. h = (3 mi)*tan(θ)
Then the rate of change of height (vertical velocity) is
.. h' = (3 mi)*sec(θ)^2*θ'
.. h' = (3 mi)*4*(1.5 rad/min)
.. h' = 18 mi/min
The rocket's velocity is 18 miles per minute at that moment.
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.

For the painting,

For the frame,

Since she wants to maintain the same ratio; both scale must be the same.
i.e.

Express as fraction


Make w the subject


<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>
Yes it proportional because they all function of y=3x
0x3=0
2x3=6
4x3=12
6x3=18
The steps for dividing fractions are:
Keep
Flip
Change
As in, keep the first fraction the same (we can write 7 as 7/1 to make it a fraction), flip the second fraction upside down, and then change the division symbol to a multiplication symbol. This gives you:
7/1 × 5/6
And to multiply fractions, you multiply across, which means that you do (7 × 5 = 35)/(1 × 6 = 6). Your answer, therefore, is 35/6, or, as a mixed number, 5 5/6. I hope this helps!