50 POINTS if p=(-2,-1) and Q=(-6,-3) are the endpoints of the diameter of a circle, find the equation of the circle

Answers

Answer 1

Answer:

(x+4)^2 + (y+2)^2 = 5

Explanation:

Using the midpoint formula, we find that the center of the circle is (-4, -2). We also calculate using the distance formula that between the two points is [tex]\sqrt{2\\0}[/tex]or [tex]2\sqrt{5\\\\}[/tex].

Because we found the diameter, to find the radius we divide by two, getting [tex]\sqrt{5\\\\}[/tex].

Now that we have the center, (-4, -2), and the distance from the center to the radius, we can put the information into the circle equation:

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

This becomes:

(x+4)^2 + (y+2)^2 = 5

Answer 2

Answer:

-4 , -2 , 5

Step-by-step explanation:

(x-(-4))^2+(y-(-2))^2=5

since 2 negatives equal a positive, - -4 = +4

same thing for -2

(x+4)^2+(y+2)^2=5


Related Questions

what is the measure of angle 1?

Answers

Since there was a ray drawn from A through C the exterior angle of angle C is angle 1. Any straight line should equal to 180 degrees.

Answer:

option a. 90°

angle 1=90°

Write an explicate formula for this sequence -2, 6, -18, 54

Answers

Answer:

7 =121 and t underscore 15 =193

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = - 3 , then

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Farid checked the prices of 5 items available for purchase in the cafeteria. The prices were:
$6.00$8.00$6.00$2.00$4.00
What was the median price of the items?
MEAN AND MEDINA

Answers

Answer:

Mean is 5.2 Median is $6.00

Step-by-step explanation:

To find mean u have to find the "average" whereby u add all the numbers and divide by the number of numbers.

($2+$4+$6+$6+$8)= $26. Then since there are 5 numbers in all u divide by 5.

$26÷5 =5.2 5.2 is the median.

Median is the middle number. To find it u have to rearrange the numbers from smallest to largest and find the middle number.

$2, $4, {$6,} $6, $8

$6 is the median.

Math help me please/////

Answers

Answer:

C.

Step-by-step explanation:

A and D are incorrect because there is one outlier in the lower graph, and there are no signs of clusters on the graph, making B wrong as well. This leaves the only answer, C, which makes sense because there is a positive correlation of a line.

A biologist was sitting near a pond and noticed a large number of dragonflies. He also saw both frogs and fish trying to eat the
dragonflies. He counted a total of 89 fish, frogs, and dragonflies. He noticed that there were four times as many dragonflies as fish and
that the frogs were five more than twice the number of fish

Answers

89 /3

frogs = 29.6

fish =  29.6

dragonflies =  29.6

all of them equal 89

Guessing you need to know how many of each animal there are

a = fish = 12
b = frog = 29
c = dragonflies = 48

a + b + c = 89

c = 4a (four times as many dragonflies as fish)
b = 2a + 5 (frogs were five more than twice the number of fish)

Then substitute for b and c in the big equation:

a + (2a + 5) + 4a = 89
Combine like terms:
7a + 5 = 89
Subtract 5 from both sides:
7a = 84
Divide both sides by 7:
a = 12

Now use this to solve for b and c

c = 4(12) = 48

b = 2(12) + 5 = 24 + 5 = 29

Please let me know if you have any questions.

Help plz and the first and second options are.
First : any side,any two side,any three side
Second: less the. 90 degrees,greater then 90 and exactly 90

Answers

First: Two Sides
Second: Exactly 90°

i just need help finding y thank you

Answers

Answer:

x=9.43mm

Step-by-step explanation:

H= A/C

H=9.15/cos(14)=9.43mm

Answer:

9.43

Step-by-step explanation:

If x = 2.28

pythagoras theory that a^2 + b^2 = c^2

so 9.15^2 + 2.28^2 = 88.920

[tex]\sqrt88.920[/tex]=9.429

Find the product of 22.4 and 0.51

Answers

Answer:

11.424 is the product of 22.4 x 0.51

classify the type polynomial 11x+20​

Answers

Answer:

binomial

Step-by-step explanation:

there are two terms, "11x" and "20"

Hmm I’m almost done it for you hold up

If x = 7, what does y equal in the following equation? *
2x + 4y = -6

1) y = -2

2) y=-3

3) y=-4

4) y=-5

Answers

The answer is 4) y=-5

2x + 4y= -6
2(7) + 4y = -6
14 + 4y = -6
4y = -14 -6
y = -20/4
y = -5

What is the volume of a sphere with a diameter of 7,5 cm, rounded to the nearest
tenth of a cubie centimeter

Answers

Answer:

179.59

Step-by-step explanation:

.........................

$100 are shared between Adam and Hamza in the ratio 1:3.
A)
How many dollars did Adam receive?
How many dollars did Hamza receive?

Answers

Answer:

$25 for Adam and $75 for Hamza

Step-by-step explanation:

$100 will be divided to 3 + 1 = 4 parts

the dollars Adam received

= $100 × 1/4

= $25

the dollars Hamza received

= $100 × 3/4

= $75

-----------------------------------------------------------

the dollars Hamza give to Adam

= $75 × 25%

= $75 × 25/100

= $18.75

the dollars Adam have

= $25 + $18.75

= $43.75

the dollars Hamza have

= $75 - $18.75

= $56.25

the ratio

= 43.75:56.25

= 7:9

What is a possible solution to x ≥ −2?

Answers

Answer:

5

Step-by-step explanation:

Find the value of x in OQ. 5x-6
2x+9
Need help with this question asap!!

Answers

Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

Since, the chord is being bisected by the diameter (being divided into two equal parts). Hence,

5x - 6 = 2x + 9

5x - 2x = 9 + 6

3x = 15

Divide both sides by 3

x = 15 / 3

x = 5

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

PLEASE SOMEONE PLEASE HELP I DONT GET THIS PLEASE HELP ILL GIVE BRAINLIEST

Answers

The answer is B because the bill is $98 plus a 7% tax fee and 16% tip fee.
Yea the answer is B just like the other person said

From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the distance of the boat from the foot of the light house?

Answers

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

hii please help i’ll give brainliest

Answers

Quadrant 2
The last answer choice

PLEASE HELP ASAP PLEASE HELP

Answers

equal tp 4 inches because all sides of a triangle are usually the samw

hii please help i’ll give brainliest

Answers

Answer:

-19

Step-by-step explanation:

Answer:

-19

hope it helps. Plz mark brainliest!

explanation:

To find its opposite, change the negative sign to a positive sign. The answer is that the opposite of 19 is -19.

HELP WILL MAKE BRAINLIEST

Answers

Answer:

x

Step-by-step explanation:

The answer is B. Hope this helps

Solve the system of equations 3x+2y=223x+2y=22 and -4x+3y=16−4x+3y=16 by combining the equations.

Answers

Answer:

(2, 8)

Step-by-step explanation:

Given the system of equation

3x+2y=22  ... *4

-4x+3y=16 .... *3

Using the elimination method

12x + 8y = 88

-12x + 9y = 48

Add

8y + 9y = 88+48

17y = 136

y = 136/17

y = 8

Recall that

3x+2y=22

3x+2(8)=22

3x + 16 = 22

3x = 22-16

3x = 6

x = 6/3

x = 2

Hence the required solution (x, y) is (2, 8)

Fraction:
Decimal:
Percent:

Answers

Answer:

Fraction: 9/10

Decimal: 0.9

Percentage: 90%

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Step-by-step explanation:

find the value of x. write your answer in simplest radical form. x 9 7

Answers

Answer:

Answer B

Step-by-step explanation:

You have to use the pythagorean theorm which states that a^2+b^2=c^2

So, 7^2+x^2=9^2

49+x^2=81 subtract 49 from both sides of the equation

x^2=32

x=sqrt(32)

sqrt(32)=sqrt(16)*sqrt(2)

=4*sqrt(2)      

Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

A

Step-by-step explanation:

9, 12, 15 is a multiple of 3, 4, 5 which is a right triangle

Answer:

A. 9, 12, 15

Step-by-step explanation:

A. [tex]9^{2} +12^{2} =15^{2}[/tex]

B. [tex]6^{2} +2^{2}\neq\sqrt{38}^{2}[/tex]

C.[tex]3^{2} +9^{2} \neq \sqrt{91} ^{2}[/tex]

Suppose you add or subtract two quadratic trinomials that use the same variable. What are the possible classifications for the sum or difference? Explain.
Please help me asap. T.T

Answers

Answer:

quadratic monomial, quadratic trinomial, constant monomial, linear monomial, quadratic binomial, linear binomial.

Step-by-step explanation:

two quadratic trinomials each have a degree-2, degree-1, and degree-0 term. It is possible that the coefficients of all or some of the terms cancel each other while adding or subtracting the polynomials.

Answer:

Here is the answer. Hope this helps Sorry it's blurry but you have to click on it and you will see the answer

Step-by-step explanation:

help help help pleaseee

Answers

Answer:

f is the answer

Step-by-step explanation:

H. Fewer than half of the birds have wing lengths greater than 48 millimeters.

A town doubles its size every 17 years. If the population is currently 15,000, what will the population be in 34 years?

Answers

Answer:

60,000

Step-by-step explanation:

Explanation: 34 is double of 17 so the town doubles twice, 15,000 * 2 * 2 is your Expression and leads you to 60,000.

BAC ~ DEC

x = ___ units​

Answers

Given:

[tex]\Delta BAC\sim \Delta DEC[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\Delta BAC\sim \Delta DEC[/tex]

The corresponding parts of similar triangles are proportional.

[tex]\dfrac{AB}{ED}=\dfrac{AC}{EC}[/tex]

On substituting the values, we get

[tex]\dfrac{24}{56}=\dfrac{2x}{3x+5}[/tex]

[tex]\dfrac{3}{7}=\dfrac{2x}{3x+5}[/tex]

[tex]3(3x+5)=2x(7)[/tex]

[tex]9x+15=14x[/tex]

Subtract [tex]9x[/tex] from both sides.

[tex]15=14x-9x[/tex]

[tex]15=5x[/tex]

[tex]\dfrac{15}{5}=x[/tex]

[tex]3=x[/tex]

Therefore, the value of x is 3 units.

PLEASE HELP the graph of the function f(x)=5/4sin(x)+1 is shown. what are the key features of this function? (look at photo) ​

Answers

Answer:

2.25 -0.25 increasing (-0.25,2.25)

Step-by-step explanation:

The minimum and maximum values are negative 1/4 and 9/4. In the interval of (0, π/2), the function is decreasing. And the range of the function will be [–1/4, 9/4].

What is a sinusoidal Function?

It is a function that repeats itself in a particular time interval.

The equation is given as

y = A sin (ωx + Ф) + C

Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.

The function is given below.

f(x) = (5/4) sin(x) + 1

Compare the function with standard equation.

A = 5 / 4

ω = 1

Ф = 0

C = 1

Then the maximum value of the function at sin x = 1, will be

Maximum value = 5/4 + 1

Maximum value = 9/4

Then the minimum value of the function at sin x = –1, will be

Minimum value = –5/4 + 1

Minimum value = –1/4

In the interval of (0, π/2), the function is decreasing.

And the range of the function will be [–1/4, 9/4].

More about the sine function link is given below.

https://brainly.com/question/3876065

#SPJ2

Please help
David has scored 86, 70, 79, 90, and 85 on his previous five tests. What score does he need on his next test so that his average (mean) is 84

Answers

(86 + 70 + 79 + 90 + 85 + x)/6 = 84
Multiply 6 to both sides and then add everything together and then subtract i from the multiplied 86 which will get you 94.
Answer: 94
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