Given that parabola has a focus of (-1,2) and directrix of x=5, Matching the steps with the equations we shall have:
1. Use (x,y)⇒choose a point from the parabola.
2. √[(x+1)²+(y-2)²]⇒Find the distance from the focus to the point on the parabola
3. √(x-5)²⇒Find the distance from the point on the parabola to the directrix
4. √[(x+1)²+(y-2)²]=√(x-5)²⇒Set the distance from focus to the point equal to the distance from directrix to the point
5. (x+2)²+(y-2)²=(x-5)² ⇒Square both sides and simplify
y²-4y+4=-12x+24
6. x=-y²/12+y/3+5/3⇒Write the equation of the parabola
Answer:
x=9
Step-by-step explanation:
Distribute:
3x+9-2x+2=5x-25
Combine like terms:
x+11=5x-25
Solve:
x-x+11=5x-x-25
11=4x-25
11+25=4x-25+25
36=4x
Divide by 9:
x=9.
Hope this helps :D
Divide the total centimeters by centimeters per inch:
51.78 / 2.54 = 30.386 inches.
The value of x is 34.64 feet
<h3>Right-angled triangle</h3>
Find the diagram attached
- The height of the tent = 40 ft
- length of the rope = x
Get the value of x using the SOH CAH TOA identity
Hence the value of x is 34.64 feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
