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Alex17521 [72]
3 years ago
7

System of conics help

Mathematics
1 answer:
ZanzabumX [31]3 years ago
7 0

Answer:

Solutions are (6,3) and (-2,3).

Step-by-step explanation:

From the first equation given we can write:

(x-2)^{2} = 16-(y-3)^{2}\\  

substituting for (x-2)^{2} in the second equation given we get

\frac{16-(y-3)^{2}}{16} + \frac{(y-3)^{2}}{64} = 1

\frac{-(y-3)^{2}}{16} + \frac{(y-3)^{2}}{64} =0

∴ y=3

Putting y=3 in the first equation we get

(x-2)^{2} = 16

x-2 = ±4

Hence x=6 or x=-2.

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Answer:

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Step-by-step explanation:

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3 years ago
Please help me with #12 pleaseee
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The equation of a line can be expressed in slope intercept form as y = mx + b where m is the slope and b is the y-intercept. Horizontal lines have a slope of 0, so the equation is simply y=b.

The y value of the point given is -5, so the answer is y = -5.




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3 years ago
What number fills in the blank to complete the factorization of 3x + 24?
nikdorinn [45]

<em>Answer</em>

3

<em>Explanation</em>

Let's start by factoring the expression; 3x + 24.

3 is common in both term. So, factor it out.

3x + 24 = 3(x + 8)

The number that would fill in the blank to complete the factorization of 3x+24 is 3.

3 0
3 years ago
Read 2 more answers
Show that the number 6 is a rational number by finding a ratio of two integers equal to the number
svlad2 [7]

9514 1404 393

Answer:

  6 = 6/1 = 12/2 = 18/3

Step-by-step explanation:

The simplest ratio of integers with a value of 6 is ...

  6 = 6/1

We can multiply numerator and denominator by any non-zero integer value to obtain an equivalent:

  6 = 12/2 = 18/3 = -54/-9

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3 years ago
Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret messa
Flauer [41]

With the help of trigonometric function, the above problems have been calculated. See explanation below.

<h3>What are Trigonometric functions?</h3>

The term "trigonometric function" refers to functions that are periodic in nature and that shed light on how a right-angled triangle's angles and sides relate to one another.

The solutions to x in the respective problems is given as follows:

1) x = 5 /Sin(30°)

x = 10

!) Sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°)

= (3√3) / x

x = (3√3) / 3

W) In trigonometry, every right-triangle that is isosceles in nature, the angle made by the legs and the hypotenuse will always equal 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3

= 4√3 / 3

S) Sin(60°) = x / (10/3)

x = (5√3) / 3

Learn more about Trigonometric functions at:

brainly.com/question/14421002

#SPJ1

3 0
2 years ago
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