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Anika [276]
3 years ago
10

How many times does the line y=-6 intersect with the circle x^2+y^2=36?

Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0

Answer:

a) The line intersects with the circle once.

b) Tangent

Step-by-step explanation:

We are given the following equation for the circle:

x^2 + y^2 = 36

How many times does the line y=-6 intersect with the circle?

We have to find the values of x when y = -6

So

x^2 + y^2 = 36

x^2 + (-6)^2 = 36

x^2 + 36 = 36

x^2 = 0

x = 0

Since the line intersects the circle at one point, it is tangent to the circle.

The line intersects with the circle once.

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Answer:

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Step-by-step explanation:

cmon bro how do u not know this

4 divide 6

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<img src="https://tex.z-dn.net/?f=4x%20%2B%203y%20%3D%200%20%5C%5C5y%20%2B%2053%20%3D%2011x%20%5C%5C%20" id="TexFormula1" title=
Anvisha [2.4K]

Answer:

x = 3, y = -4

Step-by-step explanation by substitution:

Solve the following system:

{4 x + 3 y = 0 | (equation 1)

5 y + 53 = 11 x | (equation 2)

Express the system in standard form:

{4 x + 3 y = 0 | (equation 1)

-(11 x) + 5 y = -53 | (equation 2)

Swap equation 1 with equation 2:

{-(11 x) + 5 y = -53 | (equation 1)

4 x + 3 y = 0 | (equation 2)

Add 4/11 × (equation 1) to equation 2:

{-(11 x) + 5 y = -53 | (equation 1)

0 x+(53 y)/11 = -212/11 | (equation 2)

Multiply equation 2 by 11/53:

{-(11 x) + 5 y = -53 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(11 x)+0 y = -33 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by -11:

{x+0 y = 3 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 3 , y = -4

_____________________________________

Solve the following system:

{4 x + 3 y = 0

5 y + 53 = 11 x

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{4 x + 3 y = 0

5 y + 53 = 11 x

Hint: | Isolate terms with x to the left hand side.

Subtract 3 y from both sides:

{4 x = -3 y

5 y + 53 = 11 x

Hint: | Solve for x.

Divide both sides by 4:

{x = -(3 y)/4

5 y + 53 = 11 x

Hint: | Perform a substitution.

Substitute x = -(3 y)/4 into the second equation:

{x = -(3 y)/4

5 y + 53 = -(33 y)/4

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for y:

{x = -(3 y)/4

5 y + 53 = -(33 y)/4

Hint: | Isolate y to the left hand side.

Subtract 53 - (33 y)/4 from both sides:

{x = -(3 y)/4

(53 y)/4 = -53

Hint: | Solve for y.

Multiply both sides by 4/53:

{x = -(3 y)/4

y = -4

Hint: | Perform a back substitution.

Substitute y = -4 into the first equation:

Answer: {x = 3 , y = -4

7 0
2 years ago
3. A musician uses water glasses to play music. The glasses contain 0.5 cup, and 1/3 cup 4/6 cup and 4/5 cupof water. To play th
AlladinOne [14]

9514 1404 393

Answer:

  1/3, 0.5, 4/6, 4/5

Step-by-step explanation:

For the same numerator, the fraction with the larger denominator is the smaller fraction.

  0.5 = 1/2

So, we have two fractions with numerators of 1, and two fractions with numerators of 4. The smaller fraction with a numerator of 4 has a numerator that is more than half the denominator, so its value is more than 1/2.

The least-to-greatest order is ...

  1/3, 1/2, 4/6, 4/5

In the original number format, this is ...

  1/3, 0.5, 4/6, 4/5

8 0
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Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack
LenaWriter [7]

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “<u><em>Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack</em></u>” mathematically like this :

17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x  \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14

6 0
1 year ago
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