All categories

3 years ago

Find the equation of the circle that passes through the origin and has its center at (-3,-4).

2 answers:

6 0

$equation\ of\ the\ circle:(x-a)^2+(y-b)^2=r^2\\\\(a;\ b)\ is\ a\ cener\ of\ the\ circle\\\\(a;\ b)=(-3;-4)\\\\r-radius\ of\ the\ circle\\\\r=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\\\Answer:(x+3)^2+(y+4)^2=5^2\to(x+3)^2+(y+4)^2=25$

Xelga [282]3 years ago

6 0

If the center is at (-3, -4) and the origin is on the circle, then the radius
of the circle is the distance between the origin and (-3, -4).

R² = (-3)² + (-4)²
R² = 9 + 16
R² = 25
R = 5

The equation of the circle is [ (x + 3)² + (y + 4)² = 25 ].

You might be interested in

A square with a side length of 3 units is dilated with a scale factor of 2.

Anna [14]

<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - </h3>

➷Simply multiply by 2:

3 x 2 = 6

It would be 6 units

➶Hope This Helps You!

➶Good Luck :)

➶Have A Great Day ^-^

↬ Hannah ♡

3 0

3 years ago

A noted psychic was tested for extrasensory perception. The psychic was presented with 2 0 0 cards face down and asked to determ

Natasha2012 [34]

Answer:

C. P- value < 0.04 0.05

Step-by-step explanation:

hello,

we were given the sample size, n = 200

also the probability that the psychic correctly identifies the symbol on the 200 card is

$p=\frac{50}{200}= 0.25$

using the large sample Z- statistic, we have

$Z=\frac{p- 0.20}{\sqrt{0.2(1-0.2)/200} }$

= $\frac{0.25-0.20}{\sqrt{0.16/200}}$

= 1.7678

thus the P - value for the hypothesis test is P(Z > 1.7678) = 0.039.

from the above, we conclude that the P- value < 0.04, 0.05

3 0

3 years ago

Solve a triangle when A=15° B=113° and b=7?

JulsSmile [24]

Let us draw a triangle ABC with A=15° ,B=113° and b=7.

Please see the attached image.

We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have

$A+B+C=180\\
\\
15+113+C= 180\\
\\
C=62^{\circ}$

Apply Sine rule in the triangle ABC, we get

$\frac{a}{\sin 15}= \frac{7}{\sin 113}\\
\\
a=\frac{7 \sin 15}{\sin 113}\\
\\
a=1.97\\
\\
\text{Again apply sine rule, we get}\\
\\
\frac{c}{\sin 62}= \frac{7}{\sin 113}\\
\\
c=\frac{7 \sin 62}{\sin 113}\\
\\
c=6.71$

Therefore, we have

$a=1.97\\
c=6.71\\
C=62^{\circ}$

4 0

3 years ago

Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a p

Korvikt [17]

For a proportional relationship, the constant is found dividing all values of y by each respective value of x.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The constant can be represented as follows:

$k = \frac{y}{x}$