write the standard form of the equation of the circle with the given characteristics end point of diameter (-4,-1) , (4,1)​

Answers

Answer 1

Answer:

x² + y² = 17

Step-by-step explanation:

The standard  equation of a circle is :

(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle

If the end point of diameter has the coordinates (-4,-1) and  (4,1)​ then the center is at the origin so we have (h= 0, k= 0)

The radius is half of the diameter so is the distance form (0,0) to (4, 1).

We can use Pythagorean Theorem to find r²

r ² = 4²+1² =  17

(x -h)² + ( y -k) ²= r², substitute what we found out

(x -0)² + ( y -0) ²= 17

x² + y² = 17

This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)​

Write The Standard Form Of The Equation Of The Circle With The Given Characteristics End Point Of Diameter

Related Questions

Need the answer to this pls

Answers

Answer:

0

Step-by-step explanation:

1. First, we should know the slope-intercept form of any equation: y = mx + b.

y = y-coordinatem = slopex = x-coordinateb = y-intercept

2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.

Additionally, this is a proportional relationship because it follows the format y = kx. Proportional relationships always have a y-intercept of 0.

Therefore, the y-intercept is 0.

What is the equation of this line in standard form?


6x−7y=11

6x−7y=−11

7x−6y=11

6x−5y=−13

Answers

9514 1404 393

Answer:

  (b)  6x −7y = −11

Step-by-step explanation:

Perhaps the easiest way to approach this is to look at the y-intercept. To find it, set the value of x to zero, and divide by the y-coefficient. The y-intercepts of these equations are ...

  a) 11/-7 = -1 4/7

  b) -11/-7 = 1 4/7 . . . . possible candidate

  c) 11/-6 = -1 5/6

  d) -13/-5 = 2 3/5

The only y-intercept that matches the graph is the one for equation ...

  6x -7y = -11

_____

You can use any of several other strategies to verify this choice:

1) Putting the given point values into the equation:

  for (-3, -1): 6(-3) -7(-1) = -18 +7 = -11 . . . . yes

  for (1/2, 2): 6(1/2) -7(2) = 3 -14 = -11 . . . . yes

__

2) Finding the equation from the given points.

  m = (y2 -y1)/(x2 -x1) = (2 -(-1))/(1//2 -(-3)) = 3/(3 1/2) = 6/7

Then the point-slope equation is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-1) = 6/7(x -(-3)) . . . . . substitute known values

  7y +7 = 6x +18 . . . . multiply by 7, simplify

  6x -7y = -11 . . . . . . . add -18 -7y to both sides

Given: DE is a midsegment of ∆C. Show all work. Find the value of x and y. What is the length of C?

Answers

Answer:

Find out the value of x.

To prove

Definition of mid- segment

It is a segment connecting the midpoints of two sides of a triangle.

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

As shown in the triangle given below.

As given

DE = 5x and BC = 11x – 15

Thus

15 = 11x - 10x

15 = x

Therefore the value of x is 15 .

Step-by-step explanation:

Precalc please help!!

Answers

Answer:

Step-by-step explanation:

factor by grouping x^3 − 4x ^2 + 6x − 24

Answers

Answer:

[tex](x-4)(x^2+6)[/tex]

Step-by-step explanation:

x³-4x²+6x-24 is our equation

Once we factor it we get

[tex](x-4)(x^2+6)[/tex]


Will all rational functions have at least one vertical asymptote? Justify your response with an
explanation

Answers

Answer:

  no

Step-by-step explanation:

A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.

Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.

An example with no vertical asymptotes is ...

  f(x) = (x -1)/(x^2 +1)

Highland Park is located between two parallel streets, Walker street and James Avenue. The park faces Walker Street and is bordered by two brick walls that intersect James Avenue at point C, as shown below. Walker St. Highlands Park brick wall brick wall 60 James Ave. What is the measure, in degrees, of ZACB, the angle formed by the park's two bri walls?​

Answers

Applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

Recall:

Alternate angles are congruent and have equal angle measures.Angles on a straight-line = 180 degrees.

The diagram showing the information and sketch of the Highland Park is attached below (see attachment).

Thus:

m<BAC = 36° (given)

m<BCE = 60° (given)

<ACD = <BAC (alternate angles)

Therefore,

m<ACD = 36°

m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)

Substitute

m<ACB = 180° - (36° + 60°)

m<ACB = 84°

Thus, applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

Learn more here:

https://brainly.com/question/15234579

A line has a slope of –8 and includes the points (5,–3) and (4,z). What is the value of z?

Answers

It’s or should be 6z

Please view the image above for the question ^^​

Answers

Answer:

2

Step-by-step explanation:

After reflecting ABC over the y-axis and translating that image down, ABC will map onto DEF.

Answer:

(2)

Step-by-step explanation:

If you reflect ABC across the y axis it would look like DEF but above the x axis; translate it down and you get DEF.

Find the perimeter of the figure

Answers

Answer:

51 miles

Step-by-step explanation:

perimeter is distance around the outside of figure.

there are three sides with 17 mi. That means the perimeter is 51 miles

Answer:

B p=51mi.

explanation:
p=a+b+c=17+17+17=51

HELP HURRY !! is the graph a function ?

Answers

Answer:

Yes.

Step-by-step explanation:

If you use the vertical line test, you'll see that the line only touches the graph at one point.

PLS ANSWER THE PICTUREEE

Answers

Answer:

1.12

2.11

3.19

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Pa brainliest po

PLEASE HELPPPP

Find m∠BXY.

Answers

Answer:

I think 30°

Step-by-step explanation:

Pls make me brainliest plssssssssssssss

Imsureeeeeeee123

36’ thats the answer i dont have tha small circle so i made a better one ;)

The price of a scarf is reduced by $2.19. The price is now $8.40. What was the original price of the scarf? Enter your answer in the box. $WHOEVER ANSWER GETS BRAINLESS NEED HELP​

Answers

If the price was reduced by $2.19, the original price of the scarf would be $2.19 + $8.40 which is $10.59

Answer:

The original price of the scarf was $10.59.

Step-by-step explanation:

"The price of a scarf is reduced by 2.19. The price is now 8.40."

Let X be the original price of the scarf.

That can be written as an equation like this:

x - 2.19 = 8.40

Now, just solve for x. Add 2.19 to both sides:

x = 10.59

The original price of the scarf was $10.59.

Will give brainliest

Answers

Answer:

down - up +

Step-by-step explanation:

What is the answer I’m so stuck on this one

Answers

the answer is B

P/s : i use my calculator

ok done. Thank to me :>

Option A is the answer

2 (3) to the power of 3 + 5

Answers

Answer:

13122

Step-by-step explanation:

Our equation is 2(3)⁸

once its solve we get 13122 as our answer

The ratio of your monthly allowance compared to your friends monthly allowance is five to three and totally you and your friend make $40 how much money do you make

Answers

15$ is the answer to this question.

Due Tomorrow: answer question 3 using steps

Answers

Answer:

Step-by-step explanation:

Picture is quite fuzzy so I will ASSUME that the triangle has inner angles of 100° and 34° (now I'm told it's 38)

This means the unlabeled angle is 180 - 100 - 34 = 46°

180 - 100 - 38 = 42°

Using law of sines.

a/sin46 = 12/sin34

a/sin42 = 12/sin38

a = 12sin46/sin34 = 15.17415...

a = 12sin42/sin38 = 13.04217...

round as appropriate. I think it my say to the hundredths

a = 15.17

a = 13.04

If I did not guess the numbers in the photo correctly, just use the same technique to arrive at a better solution.

Which of the following points lie on a line that passes through the origin with a slope of −2/5? Select all that apply.
A)
(0, 0)
B)
(1, −25)
C)
(−2, 5)
D)
(−1, 25)
E)
(4, 10)
F)
(−5, 2)

Answers

Answer:

a f

Step-by-step explanation:

(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the points lie on a line that passes through the origin with a slope of −2/5

The line passes through (0, 0) and (x, y) form a slope of -2/5

-2/5=y/x

So y is 2 and x is 5.

Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5

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The sum of one fifth of a number and 3 7/10 is 7. Find the number

Answers

Answer:

Step-by-step explanation:

3

ANALYZE The table below shows the values of a cubic function. Could there be a zero between
x= 2 and x = 3? Justify your argument.
ONLY QUESTION 30

Answers

Answer:

  No; no sign change of g(x) in that interval

Step-by-step explanation:

The intermediate value theorem tells you there will be at least one zero between any two points where the function changes sign. The table shows sign changes in the intervals [-2, -1], [0, 1], and [1, 2]. So, the three zeros of the cubic lie in those intervals.

There are no additional zeros to be found, and there are no sign changes of g(x) between x=2 and x=3, so there is no zero in the interval [2, 3].

_____

Additional comments

We can only answer this with certainty because we have already found the locations of the three real zeros this cubic has. If there were two that were unaccounted for, then the possibility might exist for the graph to make an excursion across the x-axis and back in the interval [2, 3].

__

First differences of the table values are ...

  -5, +1, +2, -3, 0

Second differences are ...

  6, 1, -5, 3

Third differences are ...

  -5, -6, +8

This table cannot represent a real cubic function. For evenly-spaced x-values, a cubic polynomial must have constant 3rd differences. If the last two values in the table were -1 and -12, the function would be ...

  g(x) = -5/6x^3 +1/2x^2 +7/3x -1

You may want to discuss this question with your teacher.

Find the product using formula ...

formula = ( a + b ) ( a - b )

a) 1.2 × 2.8​​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

[tex]\begin{gathered}1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\end{gathered}

[/tex]

Answer:

3.36

Hope it helps.

Do comment if you have any query.

ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15

Answers

Answer:

7.1 in²  

Step-by-step explanation:

If you mentally rearrange the figure it's

a circle with a radius of 1

and a square with side of 2

Area of circle

a = 3.14r²

a = 3.14 * 1²

a = 3.14

Ares of square

a = s²

a = 2²

a = 4

Combined ares

a = 3.14 + 4

a = 7.14

Rounded

7.1 in²

Please help me with this question

Answers

Answer:

M: (-2,6)

M': (-2,-6)

X coordinate

the coordinates of M would be (-2, 6)
M' would be (2, 6)
when it's reflected over the y-axis, the x coordinate changes signs (becomes positive)

Last year, Derek's mother gave him 53 blue stamps and 36 red stamps to start a stamp collection. Now Derek has 4 times as many stamps in his collection How many stamps does Derek have in his collection? Complete the bar diagram to show your work.​

Answers

Answer:

At present he has x stamps

Every month he adds 6 numbers, for 8 months

So total added 8x6=48

The total will be x+48 which is expected to be twice of x

x+48=2x

Solving x=48

At present he has 48 stamps

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

53 + 36 = 89

89 x 4 = 356

and where is the bar diagram????

What Value of N makes the equation true?

Answers

-1/5n + 7 = 2

-1/5n = 2-7

-1/5n = -5

n = -5 * (-5/1)

n = 25

You can plug the value in for “n” in the original equation to double check your answer.

Write an equation in slope-intercept form that has a y-intercept at (0, -3) and also contains the point
(4, 5).
Write your answer as an equation with numbers, letters, and symbols - no spaces.

Answers

Answer: y = (1/2)x + 3

Step-by-step explanation:

The equation in slope-intercept form  y = (1/2)x+3

How do you write an equation in slope-intercept?

To determine how to write an equation from two points, we must determine the value of the slope and the yy-intercept. First, we will calculate the slope. This will be the value of mm in the slope-intercept form equation:

y=mx+b

Let’s answer the question, “What is the slope-intercept form of a line going through the points (1,5)(1,5) and (-4,7)(−4,7)?”

Remember, to calculate the slope we use the equation:

y2-y1/x2-x1

Therefore, the slope of the line is

-2/5

We can substitute

-2/5 for m.

To learn more about equation in slope-intercept refer to:

https://brainly.com/question/1884491


The babysitter charges $10 per hour plus $5 for gas to come to the house. Let h represent the number of hours. Which expression represents the total
cost of hiring a babysitter for the evening?

Answers

Answer:  10h+5

Explanation:

10h represents the cost of $10 per hour for h hours, where h is some positive whole number. We tack on the extra $5 to add on the cost of gas.

For example, if the babysitter works for 7 hours, then h = 7. It leads to a cost of 10h+5 = 10*7+5 = 70+5 = 75. The total cost is therefore $75 in this case.

Work out the area of the parallelogram.

13 cm
790
21 cm

Answers

Answer:

Step-by-step explanation:

please try to provide a more accurate information 13cm of what? 790?

Answer:

The area of parallelogram can be found by product of its base and height. The calculations are shown below:  

Step-by-step explanation:

We know that,

Area of parallelogram = base × height

assume base to be 21 cm.

Then,

sin 79° = [tex]\frac{height}{13}[/tex]

∴ height = 13 × 0.98 = 12.74

Area of parallelogram = 21 × 12.74

                                   = 267.54 [tex]cm^{2}[/tex]

The area of parallelogram is calculated as 267.54 [tex]cm^{2}[/tex]

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