what is the radius of a circle with the equation x^2+y^2-14x+10=250

Answers

Answer 1

Answer:

radius is 17

Step-by-step explanation:

Use "completing the square" to rewrite the given equation in standard form for a circle centered at (h, k) with radius r:

x^2+y^2-14x+10=250 becomes:

x^2 - 14x + y^2 = 240 after grouping x terms and  y terms separately.

Completing the square, once for x and once for y, results in:

x^2 - 14x + 49 - 49 + y^2 = 240.

Rewriting x^2 - 14x + 49 as the square of the binomial x - 7 results in:

(x - 7)^2 + y^2 = 289 = 17^2

From this we recognize that the center is at (7, 0) and the radius is 17.


Related Questions

Please explain which answer is correct and why. Thank you!

Answers

Answer: Choice 1

3(MC) = SC

=====================================================

Explanation:

The three medians intersect at the centroid, which is point M in this case. The intersecting medians subdivide themselves in the ratio 2:1

This means that SM is twice as long as MC. We can say SM = 2MC

Then by the segment addition postulate, we know that:

SC = SM + MC

SC = 2MC + MC

SC = 3MC

3(MC) = SC

So having three copies of MC glued together will form segment SC.

The same idea applies for the other medians also (EK = 3EM and RL = 3ML).

Please help, I am struggling with learning about this

Answers

Answer:

canvas? or is that a different website

Step-by-step explanation:

Change of Base formula: [tex]log_ax=\frac{log_bx}{log_ba}[/tex]

b can be any number.

This formula is used because a lot of calculators can't calculate a logarithm with a base other than 10, so calculators don't show the bases, it is already assumed as base 10.

[tex]log_725=\frac{log_{10}25}{log_{10}7}[/tex]

Type log(25) / log(7) to get: 1.6542

Pls let me know if u have any questions about logarithms, it helps me study!!

If a sample of 14 students were taken from a population of 168 students, o?
could refer to the variance of how many of the students' heights?
A. 168
B. 14
C. Both 14 and 168
D. Neither 14 nor 168

Answers

14 is correct (B). Hope it helps

Find mCFD
O 180°
O 276°
O 307°
O 53°

Answers

9514 1404 393

Answer:

  307°

Step-by-step explanation:

The measure of arc CFD is the measure of the whole circle, less the measure of arc CD. The measure of arc CD is the difference between the measures of arc CE and DE. Arc CE has the same measure as arc BF, so we have ...

  arc CFD = 360° -(arc BF -arc ED)

  arc CFD = 360° -132° +79°

  arc CFD = 307°

_____

Arcs BF and CE are of equal measure because their central angles are vertical angles, hence congruent.

need help w 5 plsss help

Answers

Download photo-math on ur phone and take a picture of the equation. it should tell u the answer.

The graph shows the total number of participants in a town's recreation program at the end of every year since the year 2000. The line of best fit for the data is given by the equation =13+50, where y is the total number of participants x years after the beginning of the year 2000.

Which statement correctly interprets the slope of the line of best fit?

A. The rate of change is 1 new participant every 13 years.

B. The rate of change is 13 new participants every 13 years.

C. The rate of change is 13 new participants every year.

D. The rate of change is 50 new participants every year.

Answers

Answer:

B

Step-by-step explanation:

Answer:

The rate of change is 13 new participants every year.

Step-by-step explanation:

y=13x+50

This is in the form y = mx+b  where m is the slope and b is the y intercept

x is the number of years so for every year increase we gain 13 new participants

Calculate the surface area of a prism with the following dimensions.
the length (l) = 13 units, the width (w) = 2 units and the height (h) = 17 units.
a.
278 sq. units
c.
562 sq. units
b.
276 sq. units
d.
987 sq. units

Answers

Answer:its B I did the quiz

Step-by-step explanation:

HELP HELP HELP HELP PLZZZZZ

Answers

d bc thats way to much

Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.​

Answers

Answer:

[tex]\displaystyle V = 147 \pi \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify

h = 9 cm

r = 7 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cone Formula]:                                     [tex]\displaystyle V = \frac{1}{3} \pi (7 \ cm)^2(9 \ cm)[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle V = \frac{1}{3} \pi (49 \ cm^2)(9 \ cm)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = \frac{1}{3} \pi (441 \ cm^3)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = 147 \pi \ cm^3[/tex]

Answer:

Solution given:

height[h]=9cm

radius [r]=7cm

volume of cone =?

we have

Volume of cone:πr²h=⅓*π*7²*9=⅓*22/7*7²*9=

462cm³

volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm is 462cm³.

If Matt's share is 20% less than Kate's, how much is Kate's share more than Matt's?
A.
O 25%
B.
0
33.33%
38
C. O 20%
D. O 50%​

Answers

No jhhhshajkshguahvsgbxj

2/3 divided by 1/2 |HELP ASAP!

Answers

Answer:

2/3 ÷ 1/2

Change to multiplication and flip the second fraction

2/3x2

=4/3

Answer:

0.333333333333333333333333333333

The experiment proceeded as normal, with the experimental group hearing about the potential presence of a gun as the confederates left the study and the control group not hearing about the gun. Unfortunately, word spread around campus about a man with a gun who stole a laptop during a study. Unknown to the study researchers, many potential participants participated in the research anyway, and kept an eye out for a gun, knowing that they might be asked about it. The researchers found that those in the experimental group did not differ from those in the control group about the likelihood of a gun. That is, the mean score that a gun was present during the second interview was similar for the experimental group (M = 67%, SD = 12.4%) and the control group (M = 63%, SD = 11.16%).

Maturation
Regression to the mean
Selection
Mortality
Instrumentation
Testing
History
Interactions
Diffusion
No Threat

Answers

Answer:

The answer is "The threat to internal validity is mortality".

Step-by-step explanation:

It signifies that while in terms of your study, persons were "morning." It usually signifies when people leave the studies. There will be only likely if indeed the experiment lasts a long period that it'll be a substantial danger to validity and reliability because the chance for drops increases. Eight content validity risks are history, maturity, instrument, test, choice, average regress, human engagement, and mortality.

Question in screenshot

Answers

Answer:

See below

Step-by-step explanation:

[tex]y = {u}^{ \frac{3}{2} } \\ \\ \therefore \: \frac{dy}{du} = \frac{3}{2} {u}^{ \frac{3}{2} - 1 } = \boxed{\frac{3}{2} {u}^{ \frac{1}{2}} } \\ \\ u = 8x + 3 \\ \\ \frac{du}{dx} = 8.1 + 0 = \boxed{8}[/tex]

PLESE QUICKLY SOLVE URGENT

Answers

Answer:

$12.50 per lawn

Step-by-step explanation:

If you get $25 when mowing two lawns(inferred from the table) you would earn exactly half of that amount for 1 lawn.

25 ÷ 2 = 12.5

This means you are earn $12.50 for one lawn or $12.50 per lawn.

12.5

Hope this helps :D
And I can explain why if you need help

Which term describes a fraction that has a polynomial in its numerator and denominator?

Answers

Rational expression refers to a fraction in which the numerator and denominator are polynomials.

Answer:

Rational expression

Step-by-step explanation:

Help pls I’ll mark you brainliest

Answers

Answer:

9

Step-by-step explanation:

9

A box contains 16 red marbles, 25 green marbles, 4 yellow marbles and 10 blue marbles. A marble is chosen at random. What is the probability of not choosing a green marble

Answers

Answer:

Step-by-step explanation:

csc^ 2 theta- csc^ 2 theta sec^ 2

Answers

Answer:

-csc²θ(tan²θ)

Step-by-step explanation:

csc²θ-csc²θ(sec²θ)

-csc²θ(-1+sec²θ)

-csc²θ(tan²θ)

Trish types 3 1/3 pages. Joy types 3/4 as many pages as Trish.
How many pages does joy type?

Answers

Answer: Joy types 2 1/2pages

Step-by-step explanation:

Number of pages typed  by Trish= 3 1/3 pages

Number of pages typed  by joy=3/4 as many pages as Trish=3/4 x  3 1/3 pages

=3/4 x  3 1/3

=3/4 x  10/3

=(30/12) ÷(3/3)

=10/4)÷(2/2)

=5/2=2 1/2

A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.

Answers

Answer:

A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.

Step-by-step explanation:

A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.

What is the perimeter of the shape?
- 12 feet
-14 feet
-26 feet
-38 feet

Answers

Answer:

26 ft

Step-by-step explanation:

La suma de dos números es de 540 y su diferencia es 32. Hallar los números

Answers

Answer:

254 y 286

Step-by-step explanation:

540 - 32 = 508

508 / 2 = 254

254 + 32 = x = 286

please answer ive been having such a bad day today

Answers

Answer:

A - y = 2x + 1

Step-by-step explanation:

2(2) + 1 = 5

2(4) + 1 = 9

2(6) + 1 = 13

Hope this helps <3

Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so what are ratio of all players sixth graders on the team

Answers

Answer:

14:3

Step-by-step explanation:

14 total.

all players : sixth graders

14:3

14:3


Explanation:
3+5+6=14
Sixth grade player=3
14:3

How much will it cost to run for 8 hours at a cost of $0.13 per
kilowatt-
hour?

Answers

Answer: $1.04

8 times .13 = 1.04

How do I find the margin of error?

Answers

Answer:

You can find the margin of error by using this this formula

[tex]z \times \frac{σ}{ \sqrt{n} } [/tex]

Express 848.41 m in millimeters

Answers

Answer: 848410 millimeters

Move the decimal three places to the right.

The length of the rectangle is 3 mentees more than the width. The perimeter is 26 meters. What is the length and width of the rectangle?

Answers

Length=8
Width=5

You can use the equation x+x+(x+3)+(x+3)=26

Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H

Answers

Answer:

∠A and ∠G is the pair of vertical angles.

Step-by-step explanation:

From the figure attached,

Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.

Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."

Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.

From the given options,

∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.

Answer:

∠A and ∠G

Step-by-Step Explaination:

I did it on

E

D

G

E

N

U

I

T

Y

25 points! Please help!

Answers

Answer: 15 minutes

Explanation:

Answer:

17.5(D)

Step-by-step explanation:

So, lets see:

Every 5 minutes, Raul answers 22 questions.

The test has 77 questions.

We must figure out the time it takes to answer all 77 questions.

To do this, lets first divide the total questions by the questions answered per 5 minutes:

77 / 22

=

3.5

I got 3.5 knowing that 3x22 is 66, and half(0.5) of 22 is 11, and 11 plus 66 is 77.

So, the 3.5 is how many times he answrs 22 questions in five minutes.

To make a bit more sense, basically we have to multiply the 5 minutes by the 3.5:

3.5*5

=

17.5

We know that 3 times 5 is 15. Half(0.5) of 5 is 2.5, so 15+2.5 is 17.5.

So the answer is that for the 77 quesitons, it takes 17.5 minutes

HOPe this helps!

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