Step-by-step explanation:
sec(90-A) . Sin A = cot (90-A) . tan(90-A)
cosec X sinA = tanA X cotA
1/sinA X sinA = tanA X 1/tanA
1=1
Hence proved
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:
Step-by-step explanation:
k = 3pw
Step 1: switch sides.
3pw = k
Step 2: Since you want w alone, and w is being multiplied by 3p, divide both sides by 3p.
Answer:
4 or 4.75
Step-by-step explanation:
first we're going to convert the number into improper fractions.
7= and 2=
For subtracting it is suitable to adjust both fractions to an equal denominator, so we're going to multiply x2, it'll equal the same number.
So now we have -, 30-11= 19.
simplified is, 4.
As you can see I also added 4.75 as an answer, that's if the answer must be a decimal.
I hope this helps you!
Answer:
7.625
Step-by-step explanation:
This would be written like this bc to 3 decimal places its 5.You then round 4 up to 5,because the third decimal place is higher than 4.