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joja [24]
2 years ago
12

Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=

6

Mathematics
1 answer:
Bogdan [553]2 years ago
3 0

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

(y - k) {}^{2}  = 4p(x - h)

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

\frac{ - 6 + 6)}{2}  = 0

\frac{0 + 0}{2}  = 0

So our vertex is (0,0).

So our equation become

{y}^{2}  = 4px

The distance from the focus and directrix is 6.

So p=6.

{y}^{2}  = 24x

So p is 6.

Since p is 6,

\frac{ {y}^{2} }{24}  = x

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F - 3/4=5/6. Please answer soon thanks
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F - 3/4 = 5/6
Add 3/4 to both sides to get
F = 5/6 + 3/4 = 19/12
5 0
3 years ago
9.1 times 11.8 estimate the product by rounding each decimal number to the nearest whole number
lutik1710 [3]
We will round both numbers:-

9.1 = 9 

11.8 = 12

Now we will multiply these 2 numbers to get our answer. 

9 × 12 = 108

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The radius of a circle is 7.2 cm. Find the circumference to the nearest tenth.
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Answer: 45.24

Step-by-step explanation:

6 0
3 years ago
Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
Whitepunk [10]

The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.

Then we have

7² + c² – (2 · 7 · c) cos 105° = 10²

c² + 3.62c – 51 = 0

On solving, we have

c = 5.56

Then the angle C will be

10² + 7² – 2 · 7 · 10 · cos C = 5.56²

                149 – 140 cos C = 30.91

                                 cos C = 0.8435

                                        C = 32.49°

We know that

       ∠A + ∠B + ∠C = 180°

105° + ∠B + 32.49° = 180°

                         ∠B = 42.51°

Learn more about law of cosines here:

brainly.com/question/17289163

#SPJ1

4 0
2 years ago
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