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Digiron [165]
3 years ago
8

Guys please help me with this

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

Answer:

The equation of the elipse is

\frac{x^2}{169} + \frac{y^2}{25} = 1

Step-by-step explanation:

Equation of an elipse:

The equation of a elipse with centre (x_c,y_c) has the following format:

\frac{(x - x_c)^2}{a^2} + \frac{(y - y_c)^2}{b^2} = 1

Centre at (0,0):

Means that (x_c,y_c) = (0,0).

So

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Vertex at (13,0):

Vertex at 13 means that a = 13, a^2 = 13^2 = 169

Focus at (-12,0):

Means that c = 12, c^2 = 12^2 = 144

We have that:

a^2 = b^2 + c^2

So

169 = b^2 + 144

b^2 = 25

So, the equation of the elipse is

\frac{x^2}{169} + \frac{y^2}{25} = 1

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Can someone help me with #s 16 18 19 20 I WILL GIVE BRAINLIEST
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Answers & Step-by-step explanation:

<h2>PEMDAS (Parenthesis, exponents, multiplication, division, addition, subtraction)</h2>

Now let's solve your problems!

<h2>___________________________________________________</h2><h2>16.</h2>

First, we see if there are any parentheses. Since there are no parentheses, we will evaluate the exponent 3² first.

After this, our problem now looks like this:

<h2>\frac{41 - 9}{6 * 3 -26}</h2>

Next, since multiplication (not subtraction) is next on the list, we will evaluate 6 × 3, which equals 18.

After that, we will subtract:

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<h2>The answer is: -4</h2><h2>___________________________________________________</h2><h2>17.</h2>

With this, one, note the parentheses. This means that we will do these operations first.

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After that, we do the multiplication of 5 x 4, which equals 20.

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<h2>The answer is: 1</h2><h2>___________________________________________________</h2><h2>18.</h2>

Again, we see parentheses, so that means we need to do these operations first.

(6² - 20) = 16

We now have:

48 ÷ 16 + 5

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<h2>The answer is: 8</h2><h2>___________________________________________________</h2><h2>19.</h2>

Here, we see an exponent 3³, so we'll need to evaluate this first.

3³ = 27

We now have:

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4 × 27 = 108

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And finally:

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<h2>The answer is: 20</h2><h2>___________________________________________________</h2><h2>20.</h2>

Here we again see the parentheses, which means we need to evaluate the subtraction first.

3 - 8 = -5

We now have:

11 + 2 (-5)

2 × -5 = -10

11 + -10 (same as 11 - 10) = 1

<h2>The answer is: 1</h2><h2>___________________________________________________</h2><h2><em>I AM ALWAYS HAPPY TO HELP :)</em></h2>
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