Answer:
x²/25 + y²/9 = 1 or 9x² + 25y² = 225
Step-by-step explanation:
We have two points which is y intercepts (0,-3) and (0,3).
We know that the major axis is 2a and secondary axis is 2b
These two points are vertical top of the ellipse which they give us value of half secondary axis b = 3
The length of major axis is 2a = 10 => a = 10/2 = 5 => a = 5
The equation of the ellipse is:
x²/a² + y²/b² = 1 or b²x² + a²y² = a²b²
When we replace value of a and b we get:
x²/5² + y²/3² = 1 or 3²x² + 5²y² = 5² · 3² and finally
x²/25 + y²/9 = 1 or 9x² + 25y² = 225
God with you!!!
Answer
<em>TV screens are measured on the diagonal </em>
<em>. In this specific case the TV is shaped like a rectangle , whose diagonal is 40 i n c h e s and its width is 24 i n c h e s : w =
</em>
<em>24 i n d = 40 i n </em>
<em>Then , the sides of the rectangle and its diagonal form a right triangle . </em>
<em>Therefore , we can determine the height ( l ) </em>
<em>if we can apply the Pythagorean theorem: d 2 = l 2 + w 2 </em>
<em>So , solving for l : l = √ d 2 − w 2 </em>
<em>Thus , substituting: l = √ ( 40 ) 2 − ( 24 ) 2 </em>
<em>Simplifying: d = √ 1024 = 32 i n </em>
<em>Therefore </em>
<em>, the height of the TV is: </em>
<em>32 i n
</em>
The slope is 5/-8
Since rise/run...
Rise = +5 and Run = -8
Answer:
thw
the difference of 4 from 12
= 8
The first step is since you know what the slope is, you can just plug that into the equation. We now have y=3x+b, b being the y intercept.
3 is equal to 3/1, and you can use that to find the Y intercept. Start at the point that they game you and go up 3 and over 1. But this makes you further away from the Y axis, so you want to do the opposite. Go down 3 and over 1.\
This makes you end up on the Y intercept at (0,1)
Making the equation y=3x+1
