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Mrrafil [7]
1 year ago
6

Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over

both axes to create point C. What is the area of the triangle that results from connecting the three points?
Mathematics
1 answer:
Virty [35]1 year ago
8 0

The area of the triangle which is formed as described is; 60.

<h3>What is the area of the triangle formed?</h3>

According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).

It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.

Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.

Read more on area of a triangle;

brainly.com/question/23945265

#SPJ1

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Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.
Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

√[(x -  -8)^2  + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2  = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0
3 years ago
If f(2) =20 and f(3) =10<br>F(4) = ,f(5)=
Arada [10]
F(4)=0 and F(5)= -10
5 0
3 years ago
What is the area of the sector ?​
worty [1.4K]

They forget to say "not to scale".  I'm guessing this is trig because I don't see another way to do it.

Let's consider x=chord PQ first.  By the Law of Cosines

x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ

We have an isosceles triangle formed by two radii of 9 cm and x=PQ.  By the Law of Cosines again,

x^2 = 9^2 + 9^2 - 2(9)(9) \cos B

x^2 = 162 - 162 \cos B

\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}

\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}

B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)

The area of the circle is the fraction given by the angle,

A = \dfrac{B}{360^\circ} \pi r ^2

A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2

A\approx 24.7474332960707

Answer: 24.7 sq cm

8 0
2 years ago
Find the volume of the right triangular prism 2.5ft 3ft 7ft
Georgia [21]
26.25ft. Have a wonderful day
7 0
3 years ago
Help I don’t understand
sukhopar [10]

Answer:

C would be the answer to the first part because the two subtractions is a double negative making it a positve so if you replace that with a addition symbol it will read the absolute value of 125+70 which is 195

Part two the distance is 195 which is found in the first part. Absolute value is the distance from 0.

Part 1. C

Part 2. D

Hope this helps

7 0
3 years ago
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