Answer:
y²/25+x²/4=1
Step-by-step explanation:
The equation for an ellipse is either categorized as
x²/c² + y²/d² = 1 . In such an equation, the vertices on the x axis are categorized by (±c,0) and the vertices on the y axis are (0, ±d)
In the ellipse shown, the vertices/endpoints on the x axis are (-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.
Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1
Our answer is therefore the fourth option, or
y²/25+x²/4=1
First, put it into slope/intercept form so you can see what you've got.
"Slope/intercept form" is <em> y = everything else</em> .
So that means you have to take the equation you have and "solve it for 'y' ".
<u>2y - 10x = 20</u>
Add 10x to each side: 2y = 10x + 20
Divide each side by 2 : <em> y = 5x + 10</em>
There it is.
Now that you have it in that form, you can just look at it and see that the
slope of the line on the graph is 5, and the line crosses the y-axis at 10.
And that's exactly the information you need to graph it. On your graph,
mark a little dot on the y-axis at 10, and draw a line through that dot
with a slope of 5.
P-81
q-135
r-189
find out how many inches the rope is then divide by 15 total parts then multiply each ratio by that
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
Step-by-step explanation:
The given is,
In ΔWXY, ∠Y=90°
XW = 53
YX = 28
WY = 45
Step:1
Ref the attachment,
Given triangle XWY is right angled triangle.
Trigonometric ratio's,
∅ 
For the given attachment, the trigonometric ratio becomes,
∅ 
.....................................(1)
Let, ∠X = ∅
Where, XY = 28
XW = 53
Equation (1) becomes,
∅ 
∅ = 0.5283
∅ = 
(0.5283)
∅ = 58.109°
Result:
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
