Please answer

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Phantasy [73]

Answer:

ok

Step-by-step explanation:

3 0

2 years ago

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Match the steps to find the equation of the parabola with focus (-1, 2) and directrix x = 5.

Archy [21]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistants from S and d

Focus S=(-1,2), d:x-5=0

Step1: Let P(x,y) be any point on parabola

Step2: Therefore the $d=\sqrt{(x+1)^2+(y-2)^2}\hfill (1)$

Step3: The perpendicular distance from p to d is

$\frac{|x-5|}{\sqrt{(-1)^2+2^2}}$

$=\frac{|x-5|}{\sqrt{5}}\hfill (2)$

Step4: equating (1) and (2)

$\sqrt{(x+1)^2+(y-2)^2}=\frac{|x-5|}{\sqrt{5}}$

Step5: squaring on both sides

$(x+1)^2+(y-2)^2=\frac{|x-5|^2}{5}$

$5[(x+1)^2+(y-2)^2]=(x-5)^2$

$5[x^2+2x+1+y^2-2y+4-x^2+10x-25]=0$

$12x+y^2-2y-24=0$

Step6: Equation of the parabola is

$y^2-2y+12x-24=0$

8 0

3 years ago

Pls help!!! Find the measure of GPS and NPH.

Snowcat [4.5K]

Answer: gps no nph are both 140

Step-by-step explanation:

So we know that around the center is equal to 360. So (15 + 5x) = (4x + 20) to find what x equals you subtract 4x from each side to get 15 + x = 20 now subtract 15 from both sides to get x = 5. Now we know that x = 5 so the 2 angles are 40 degrees each. Now subtract those two angles from 360 and you get 280. Then divide by two and you get 140. So, now we know those two angles are equal to 140.

Good luck with your school work. Sorry it took so long.

5 0

3 years ago

I need help with this math problem!! i'll give brainilist to the correct answer :)

zubka84 [21]

Answer:

Blank 1: x

Blank 2: 1.5

Step-by-step explanation:

4 0

3 years ago

The center of a circle is at (2, -5) and it's radius is 12. What is the equation of the circle?

Svetach [21]

The equation for a circle is (x-h)^2 +(y-k)^2=r^2
You just have to plug in your coordinates h is the x and k is the y.
The r is radius squared.
so, (x-2)^2+(y-(-5)^2=144
You have to be careful of those tricky negative values. When you distribute the y-(-5) it turns into y+5.
So your answer is D.

8 0

3 years ago

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