Name the largest angel in the figure.

What is the length of the conjugate axis?<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28x-2%29%5E2%7D%7B36%7D%20-%20%5Cfrac

LuckyWell [14K]

Answer:

the length of the conjugate axis is 16

Step-by-step explanation:

We know that the general equation of a hyperbola with transverse horizontal axis has the form:

$\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1$

Where the point (h, k) are the coordinates of the center of the ellipse

2a is the length of the transverse horizontal axis

2b is the length of the conjugate axis

In this case the equation of the ellipse is:

$\frac{(x-2)^2}{36} + \frac{(y+1)^2}{64} = 1$

Then

$b^2 = 64\\\\b = \sqrt{64}\\\\b = 8\\\\2b = 16$

Finally the length of the conjugate axis is 16

5 0

2 years ago

27.) Find the sum of the length of line segments EF and CD

Lelechka [254]

Answer:

5√10

Step-by-step explanation:

The distance between two points A( $x_1,y_1$ ) and B( $x_2,y_2$ ) on the coordinate plane is given by:

$|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 }$

From the image attached the coordinates of the points are E(-1, -1), F(8, -4), C(-7, -4) and D(-1, 2).

Hence the lengths of the line segment EF and CD are:

$|EF|=\sqrt{(8-(-1))^2+(-4-(-1))^2} =\sqrt{90}=3\sqrt{10} \\\\CD=\sqrt{(-1-(-7))^2+(-2-(-4))^2}=\sqrt{40} =2\sqrt{10} \\\\Therefore:\\\\|EF|+|CD|=3\sqrt{10} +2\sqrt{10} =5\sqrt{10}$

6 0

2 years ago

What is the relationship between the ratios?

Lesechka [4]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $\frac{p}{q}$ and $\frac{x}{y}$ .

We say they are proportional if $p : q = x : y$ .

Or, if $py = qx$ then we can say the fractions are proportional.

Here the fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

5 0

2 years ago

ANSWER QUICK FOR BRAINLIEST!! <br><br><br> please i need this asap:))

LiRa [457]

Answer:4

Step-by-step explanation: please just trust me!

7 0

2 years ago

A survey of 400 randomly selected high school students determined that 68 play organized sports. (a) What is the probability th

Elina [12.6K]

Answer: a) The probability that a randomly selected high school student plays organized sports = 0.17

b) The randomly selected high school student is unlikely to play organized sports.

Step-by-step explanation:

Given : A survey of 400 randomly selected high school students determined that 68 play organized sports.

Then , the probability that a randomly selected high school student plays organized sports is given by :-

$\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{68}{400}=0.17$

In percent , the probability that a randomly selected high school student plays organized sports is 17%.

since 17% lies in the interval of unlikely events (0%, 25%).

It means that the randomly selected high school student is unlikely to play organized sports.

3 0

2 years ago