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3 years ago

I need help understanding how to do this .

Mathematics

1 answer:

motikmotik3 years ago

6 0

To draw the equation of a circle, you need the center coordinates $(h,k)$ and the radius $r$ .

Once you know them, you can write the equation for the circle as

$(x-h)^2+(y-k)^2 = r^2$

We can eyeball the center coordinates: from the origin, we have to go one step right and two steps below, so the coordinates are $(1,-2)$

For the radius, you can see that if you move three units up, down, left or right from the center, you reach the circumference. So, the radius is 3.

Given everything we said above, we're ready to write the equation:

$(x-1)^2+(y+2)^2 = 9$

You might be interested in

For the graph of the equation below, the ___ is the major axis.

Andreas93 [3]

$\bf \cfrac{(x-{{ h}})^2}{{{ a}}^2}+\cfrac{(y-{{ k}})^2}{{{ b}}^2}=1\qquad \qquad 
\cfrac{(x-{{ h}})^2}{{{ b}}^2}+\cfrac{(y-{{ k}})^2}{{{ a}}^2}=1$

for an ellipse, the major axis, is over the variable with the "a" component, or the greater denominator

5 0

3 years ago

Point A is at (-2, 4) and point is at (4,7).

natali 33 [55]

Answer:

B(2,-7)

Step-by-step explanation:

5 0

3 years ago

From her purchased bags, Rory counted 110 red candies out of 550 total candies. Using a 90% confidence interval for the populati

Svetlanka [38]

Answer:

The Confidence Interval = (0.172, 0.228)

Where:

The lower limit = 0.172

The upper limit = 0.228

Step-by-step explanation:

The formula to be applied or used to solve this question is :

Confidence Interval formula for proportion.

The formula is given as :

p ± z × √[p(1 - p)/n]

n = Total number of red candies = 550 red candles

p = proportion = Number of red candies counted/ Total number of red candies

= 110/550 = 1/5 = 0.2

z = z score for the given confidence interval.

We are given a confidence interval of 90%. Therefore, the z score = 1.6449

Confidence Interval = p ± z × √[p(1 - p)/n]

Confidence Interval = 0.2 ± 1.6449 × √[0.2(1 - 0.2)/550]

= 0.2 ± 1.6449 √0.2 × 0.8/550

= 0.2 ± 1.6449 × 0.0170560573

= 0.2 ± 0.0280555087

Hence, the Confidence Interval = 0.2 ± 0.0280555087

0.2 - 0.0280555087 = 0.1719444913

Approximately = 0.172

0.2 + 0.0280555087 = 0.2280555087

Approximately = 0.228

Therefore, the Confidence Interval = (0.172, 0.228)

Where:

The lower limit = 0.172

The upper limit = 0.228

4 0

3 years ago

Kylie is a psychologist who studies memory. She wants to see whether background music affects memorization.

ella [17]

Answer:

14,96

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

One of the tallest living men has a height of 236 cm. One of the tallest living women is 224 cm tall. Heights of men have a mean

Roman55 [17]

Answer:

A. The woman is relatively taller because the z score for her height is greater than the z score for the man's height.

Step-by-step explanation:

Whoever has the highest z-score, is taller relative to the population of the same gender.

The z-score of a value X in a set with mean $\mu$ and standard deviation $/sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

Solution:

Heights of men have a mean of 170 cm and a standard deviation of 6 cm. One of the tallest living men has a height of 236 cm. So the z-score of his height is:

$Z = \frac{X - \mu}{\sigma} = \frac{236-170}{6} = 11$

Heights of women have a mean of 161 cm and a standard deviation of 5 cm.

One of the tallest living women is 224 cm tall. The z-score of the women's height is

$Z = \frac{X - \mu}{\sigma} = \frac{224-161}{5} = 12.6$

The women has a higher z-score, so she is relatively taller.

The correct answer is A

3 0

3 years ago