segment SW is the diameter of circle C. Point S is located at (6,-1) and point W is located at (10,-7). What are the coordinates of the center of this circle?

A. (8, -3)
B. (7, -5)
C. (9, -3)
D. (8, -4)

Answers

Answer 1
D. (8, -4)

Since SW is the diameter of the circle, the center of the circle should be right in the center of that line. You simply have to find the midpoint of the line

Midpoint formula:

[ (x1+x2)/2 , (y1+y2)/2 ]

After substituting numbers:

[ (6+10)/2 , (-1-7)/2 ]
[ 16/2 , -8/2 ]
=(8, -4)

~~hope this helps~~

Related Questions

Solve by factoring or finding square roots

x^2-1=0

Answers

Answer:

{1,-1}

Step-by-step explanation:

Let's do both!

Factoring!

x^2-1 is a difference of squares.

The formula for factoring a difference of squares is: u^2-v^2=(u-v)(u+v).

So the factored form of x^2-1 is (x-1)(x+1).

So we want to solve the equation x^2-1=0 which is equivalent to solving

(x-1)(x+1)=0.

If you have A*B=0 then either A=0 or B=0.

So in our case we have x-1=0 or x+1=0.

Now we just solve the equations.

x-1=0 can be solved by adding 1 on both sides giving us x=1.

x+1=0 can be solved by subtracting 1 on both sides giving us x=-1.

Square root!

When you want to use square roots, you have to have a perfect square containing the variables and a constant.  We have that here.

We have x^2-1=0 which is equivalent to x^2=1.  You could get this last equation by adding one on both sides of x^2-1=0.

Anyway, once you have the square part equals the constant, all you have to do is square root both sides to get rid of the square on the variable part.

[tex]x^2-1=0[/tex]

[tex]x^2=1[/tex]

[tex]\sqrt{x^2}=\sqrt{1}[/tex]

[tex]x=\pm \sqrt{1}[/tex]  It leads to two answers because [tex]\sqrt{x^2}=|x|[/tex].

[tex]x=\pm 1[/tex]

Final answer:

The solution to the equation x^2-1=0 is x = 1 or x = -1.

Explanation:

To solve the equation x^2-1=0 by factoring or finding square roots, we can start by rearranging the equation to get x^2=1. This means that the square of x is equal to 1. To find the square root of both sides, we take the square root of 1, which gives us x=±1. So the solution to the equation is x = 1 or x = -1.

Learn more about Solving quadratic equations here:

https://brainly.com/question/32403169

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The legs of a right triangle measure 5 centimeters and 12 centimeters. What
is the length of the hypotenuse?

Answers

Answer:

13

Step-by-step explanation:

Using pythag the. , we see the rule a2+b2=c2 (Square)

so, a2=25, b2= 144,

25+144=c2

c2=169

sqrt=13

Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.

Answers

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with the y axis.

By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be [tex]m = 2.[/tex]

[tex]y = 2x + b[/tex]

We substitute the given point to find b:

[tex]2 = 2 (-1) + b\\2 = -2 + b\\2 + 2 = b\\b = 4[/tex]

Finally the line is:

[tex]y = 2x + 4[/tex]

Answer:

[tex]y = 2x + 4[/tex]

Answer:

y = 2x + 4.

Step-by-step explanation:

The slope = the slope of y = 2x - 3 which is 2.

Using the point-slope form:

y - y1 = 2(x - x1)

Using the point (-1, 2):

y - 2 = 2(x - -1)

y =  2x + 2 + 2

y = 2x + 4  is the answer.

If two pyramids are similar and the ratio between the lengths of their edges is 3:4, what is the ratio of their volumes?

Answers

Answer:

The ratio of their volumes is 27/64

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

The scale factor is 3/4

step 2

Find the ratio of their volumes

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

[tex](\frac{3}{4})^{3}=\frac{27}{64}[/tex]

If opposite angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram. True or False?

Answers

Answer:

False

Step-by-step explanation:

This statement states that If opposite angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram.

This is a false statement.

Lets recall the properties of a parallelogram to understand the concept. The definition says that a quadrilateral is said to be a parallelogram if its opposite angles are congruent and two consecutive angles are supplementary.

Therefore the statement is false....

A_____ is invested by Managers in a diversity of stocks bonds and other securities

Answers

Answer:

Step-by-step explanation:

A Mutual Fund is invested by Managers in a diversity of stocks bonds and other securities.

A mutual fund is a type of investment in which investors pool their money together to buy a portfolio of stocks, bonds or other securities in order to take advantage of diversification and professional portfolio management at a reasonable cost. It is operated by money managers, who invest the fund capital on the investors behalf. Investing in mutual funds enables those investing a modest amount of money to benefit from the same advantages enjoyed by large institutional investors....

Factor this trinomial completely.
2x2 + 8x + 6

Answers

Answer:

[tex]2 {x}^{2} + 8x + 6 \\ 2( {x}^{2} + 4x + 3) \\ = 2( {x}^{2} + x + 3x + 3) \\ = 2(x + 1)(x + 3)[/tex]

Answer:

the answer is correct, just backwards. thanks for your help!

Step-by-step explanation:

To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?
A.
slope = 850 and y-intercept = 18
B.
slope = 18 and y-intercept = 850
C.
slope = -18 and y-intercept = 850
D.
slope = 850 and y-intercept = -18

Answers

Answer:

Choice C:

slope = -18x

y-intercept = 850

Step-by-step explanation:

Drew uses 18 ounces of flour

-18x represents the amount of flour used

850 ounces of flour

or (0,850) is the y-intercept and represents the total number of flour

Answer

slope = -18x

y-intercept = 850

Answer:

C

Step-by-step explanation:

C

A triangle has two sides of lengths 7 and 9. What value could the length of the third side be?

Answers

Answer:

The length of the third side could be all real numbers greater than 2 units and less than 16 units

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

so

Applying the triangle inequality theorem

Let

x ------> the length of the third side

we have

First case

1) 7+9 > x

16 > x

Rewrite

x< 16 units

Second case

2) 7+x > 9

x > 9-7

x > 2 units

therefore

The solution for the third side is the interval

(2,16)

All real numbers greater than 2 units and less than 16 units

What is the domain of the function y=^3 sqrt x-1

Answers

Answer:

Domain is all real numbers also known as [tex](-\infty,\infty)[/tex] in interval notation.

[tex]f(x)=\sqrt[3]{x-1}[/tex]?

Step-by-step explanation:

If your function is [tex]f(x)=\sqrt[3]{x-1}[/tex] then the domain is all real numbers because you can cube root any real number.

If x is a real number, then x-1 is a real number.

So if you cube root (x-1) for any x then you still get a real number back.

Now if it was a square root, that is when we can run into some problems.

Answer: -infinity and positive infinity

Step-by-step explanation: It's either a on your test or two zero's that look twisted :)

what is the sum of the polynomials (-x^2+9)+(3x^2-11x+4)

Answers

you add up all of the numbers with same coefficients. so that would be ( 2x^2-11x+13) bc -x^2 + 3x^2 is 2x^2, -11x stays the same because there is no other x, and 9+4 is 13 :)
Hello!

The answer is:

[tex](-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13[/tex]

Why?

To solve the problem, we must remember how to add/subtract like terms. The like terms are the terms that share the same variable and the same exponent.

For example:

[tex]2x+3x+x^{2}=x^{2}+(2x+3x)=x^{2}+5x[/tex]

We were able to add only the linear terms (terms that contains the variable x") because they were like terms: they share the same variable and the same exponent.

We need to perform the following operation between polynomials:

[tex](-x^{2}+9)+(3x^2-11x+4)[/tex]

So, calculating we have:

[tex](-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13[/tex]

Have a nice day!

Complete the solution of the equation. Find the value of y when x equals 1. 9x+7y=-12

Answers

Hey there! :)

Find the value of y when x=1 : 9x + 7y = -12

To find the value of y, simply plug in 1 for x in our given equation.

9(1) + 7y = -12

Simplify!

9 + 7y = -12

Subtract 9 from both sides so that we can isolate y.

7y = -12 - 9

Simplify.

7y = -21

Now, divide both sides by 7 to fully isolate y.

7y ÷ 7 = -21 ÷ 7

Simplify!

y = -3

~hope I helped!~

What is the absolute value of 9? -3?


Show your work

Answers

Answer:

|9| = 9|-3| = 3

Step-by-step explanation:

The absolute value of number a:

|a| = a for a ≥ 0

|a| = -a for a < 0

|9| = 9

|-3| = -(-3) = 3

The figure shows the letter M and four of its transformed images—A, B, C, and D: Which of the four images was formed by a reflection of the letter M?

Answers

Answer:

Correct answer is figure D.

Step-by-step explanation:

According to the attached image Figure  D is correct option.

In a reflection transformation, all the points of an object are reflected or flipped. It is a type of transformation where the new image is the mirror image of the original and x-coordinates and y-coordinates changes the place.

Figure A is rotation and translation and Figure B and C are translation

Thus the correct option is Figure D....

7. Select True or False for each statement.
A. The ordered pair (2, -5.2) is located in Quadrant IV.
B. Quadrant Il contains ordered pairs of the form
(positive number, negative number)
C. The point (-6, 0) is located on the y-axis
D. The origin is located in Quadrant |
E. To plot points in Quadrant III, move left and down
From the origin.

Answers

A. True
B. False
C. False
D. False
E. True

B. Quadrant II contains ordered pairs of the form (negative number, positive number)
C. (-6,0) is located on the x-axis
D. The origin is not located on any of the quadrant. It’s in the center

The answer addresses the true or false nature of five statements about the properties of coordinate pairs in a two-dimensional graph with respect to their quadrants, and the location of specific points on the coordinate plane.

The coordinates (x, y) indicate the position of a point on a two-dimensional graph in relation to the origin, which is at (0, 0). In a standard coordinate system, Quadrant I has both x and y as positive, Quadrant II has x as negative and y as positive, Quadrant III has both x and y as negative, and Quadrant IV has x as positive and y as negative.

A. False - The ordered pair (2, -5.2) is located in Quadrant IV, which is incorrect since Quadrant IV should have x as positive and y as negative, which is actually the case here, so the statement should be True.B. False - Quadrant II contains ordered pairs of the form (negative number, positive number), not positive x and negative y.C. True - The point (-6, 0) located on the x-axis, not the y-axis, since the y-coordinate is zero.D. False - The origin (0, 0) is not located in any quadrant as it is the point of intersection of all the quadrants.E. True - To plot points in Quadrant III, one indeed moves left (negative x direction) and down (negative y direction) from the origin.

There are 10 pennies, 14 nickels, and 6 dimes in a bag, and you remove three at random without replacing any. What is the probability that you will remove a penny, a nickel, and a dime in that order?

1. 1/29
2. 1/10
3. 1/30
4. 1/812

Answers

Answer:

1/30

Step-by-step explanation:

Elise picks 6 pounds of apples.She uses 1/2 pounds to make 1 container of apple sauce. How many containers of applesauce can Elise make with all apples?

Answers

Answer:

12

Step-by-step explanation:

  Mass of apples = number of containers × mass in each container

                     6 lb = No of containers × ½ lb

No of containers = 6/½  

To divide a whole number by a fraction, invert the fraction and change divide to multiply.

6/½ = 6 × 2/1

Multiply the numerator by the whole number.

6 × 2/1 = 12/1

Simplify the fraction.

12/1 = 12

Elise can make 12 containers of applesauce.

List three decimals between 4.2 and 4.3

Answers

Answer:

4.21 and 4.22 (answers will vary)

Step-by-step explanation:

There are a lot of different numbers you can pick. It just has to be between 4.2 and 4.3. This means that 4.200000000000000000000000000001 can be an answer and 4.29999999999999999999999999 can be an answer.

If g of x equals x squares minus 1, find g of 2

Answers

Answer:

g(2) = 3

Step-by-step explanation:

g(x) = x² - 1.

Substituting 2 for x in this formula, we get:

g(2) = 2² - 1, or g(2) = 3

Answer:

g(2) =3

Step-by-step explanation:

g(x) = x^2 -1

Let x=2

g(2) = 2^2 -1

       =4-1

        =3

Which of the following is equivalent to the expression below?
√(-300)

A. -10i √(3)
B. -3i √(10)
C. 3i √(10)
D. 10i √(3)

Answers

-300 is equal to -1*100*3
The square root of 100 is 10
The square root of -1 is i
sqrt(300)
=sqrt(100)*sqrt(3)*sqrt(-1)
=10*sqrt(3)*i
Order of multiplication doesn't matter
Answer D
btw you accidentally uploaded a selfie xD

Answer:

D. 10i √(3)

Step-by-step explanation:

√(-300)

We know sqrt (ab) = sqrt(a) sqrt(b)

sqrt(-300) = sqrt(-3) sqrt(100)

                 = sqrt(-1) sqrt(3) sqrt(100)

The sqrt(-1) =the imaginary number 1 and sqrt(100) =10

                  = i * sqrt(3) * 10

                    =10i sqrt(3)

what are natural number less than 5​

Answers

Answer:

Natural numbers = {1,2,3,4,5…} Answer 1: A is the set of Natural numbers between 1 and 5 inclusive. Answer 2: A is the set of Natural numbers less than 6.

Step-by-step explanation:

Answer:

n = 1, 2, 3, 4

Step-by-step explanation:

Natural numbers are any integers (whole numbers) that are positive.

In this case, all natural number (n) is less than (<) 5

n < 5 is your equality, but in reality it looks like: 0 < n < 5

The numbers that can fit into your problem is n = 1 , 2, 3, 4

n = 1, 2, 3, 4 is your answer.

~

Find the measure of a in the picture please

Answers

Answer:

a = 44 degrees

Step-by-step explanation:

Triangle AOB is an isosceles triangle.Angle A and B are same.All three angles of a triangle are equal to 180 degrees.

angle 0 + angle a + angle b = 180 degrees

angle b = angle a

92 + a + b = 180 degrees

92 + 2a = 180 degrees

a = 44 degrees

!!

Look at the figure. Find TW

Answers

Answer: NUMBER 9 I'm on gradpoint too

Step-by-step explanation:

What is the distance between the points (2,-3) and (-6,4) on the coordinate plane?

Answers

d = sqrt (2-(-6))² + (-3-4)²)

d = sqrt ( 8² + 7² )

d = sqrt ( 64 + 49 )

d = sqrt (113)

Answer: The distance between the two points is roughly  10,63:

B)

The distance between the points (2,-3) and (-6,4) on the coordinate plane is 10.63 units. This can be obtained by using the distance formula.

What is the distance formula ?

The distance between two points (x₁,y₁) and (x₂,y₂) is

d = [tex]\sqrt{{(x_{2}-x_{1} )}^{2} + (y_{2}-y_{1} )^{2}[/tex]

In the given question, (x₁,y₁) is (2,-3) and (x₂,y₂) is (-6,4),

the distance d =  [tex]\sqrt{{(x_{2}-x_{1} )}^{2} + (y_{2}-y_{1} )^{2}[/tex]

                        =[tex]\sqrt{{((-6)-2 )}^{2} + (4-(-3) )^{2}[/tex]

                        =[tex]\sqrt{{(-8)}^{2} + (7 )^{2}[/tex]

                        = [tex]\sqrt{{64 + 49[/tex]

                        =√113 =10.63 units

Hence the distance between the points (2,-3) and (-6,4) on the coordinate plane is 10.63 units. Thus option B is correct.

Learn more about distance formula here:

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Given the diagram below, which of the following ordered pairs represents the
vertex, A?
A. (b cos C,c sin C)
B. (a cos B, a sin B)
C. (a cos C, b sin C)
D. (b cos c, b sin c)

Answers

a because b cos C, c sin C

Each week your science teacher gives a fifteen-point quiz. Your current scores are shown in the table. What is your mean quiz score?


Answers

The answer is 12 points

I have the table so I added the numbers to get 108, and there are 9 numbers, so yu do 108/9 equaling to 12

What is the rule for the reflection?

Answers

This image is being reflected over the y-axis.  When reflecting over the y-axis the y-coordinate will stay the same, but the x-coordinate will have the opposite sign. Here is the rule for this reflection:

(-x, y)

Hope this helped!

~Just a girl in love with Shawn Mendes

What is the name of the property given below?
If a: b = 0, then a = 0, b = 0, or both a = 0 and b = 0.

Answers

Answer:

This is the zero product rule.

Step-by-step explanation:

a: b = 0, then a = 0, b = 0, or both a = 0 and b = 0.

This is the zero product rule.

It shows that for the product to be zero,  at least  one factor must be zero

If a*b= 0: It shows that one of the factor is zero or may be both the factors are zero that is why their resultant product is 0....

Find the next two terms in the sequence.
0, 1, 4, 9, ...
oo o
16, 25
13, 17
o
13, 18
o
16, 23

Answers

0,1,4,9

0+1= 1

1+3= 4

4+5= 9

Add the numbers by using an odd number each time.

9+7= 16

16+9= 25

Answer is 16, 25 ( first choice):

0, 1, 4, 9, 16, 25

16,25. What math class is this for?

Andy was playing a memory game with his sister. He turned over a tile to reveal a picture of the sun at the coordinates (5, 4). He looked under a tile that was 3 units to the left and 2 units down but revealed a picture of a tree. His sister knew that the other sun was 1 unit to the left and 1 unit up from the tree. What are the coordinates of the second sun? (JUSTIFY)

Answers

Answer:

(1, 3).

Step-by-step explanation:

The tree tiles coordinates are x = 5-3 = 2 and the y coordinate = 4 - 2 = 2

- that is (2, 2).

So the coordinates of the second sun are (2-1, 2 + 1)

= (1. 3).

(1,3) that is correct
Other Questions
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Richard says it's because game meats are typically lower in fat and cholesterol than traditional domesticated meats. Who is correct? A. Richard is correct. B. Both Carlos and Richard are correct. C. Carlos is correct. D. Neither Carlos nor Richard is correct. In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box B, where f(x, y, z) is evaluated at the center (xi, yj, zk) of the box Bijk. Use the Midpoint Rule to estimate the value of the integral. Divide B into eight sub-boxes of equal size. (Round your answer to three decimal places.)triple integrals of cos(xyz) dV,where B = {(x, y, z) | 0 x 2, 0 y 2, 0 z 2} Tom and Becky can paint Jim's fence together in $12$ hours. If all people paint at the same rate, how many hours would it take to paint the fence if Huck joins Tom and Becky, and all three of them paint Jim's fence together? Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always threethree times its height. Suppose the height of the pile increases at a rate of 22 cm divided by scm/s when the pile is 1616 cm high. At what rate is the sand leaving the bin at that instant? What components determines the direction of moment? My question is in the image below What is the difference between an endocrine and an exocrine gland? What does it mean to be at the bottom -- culturally, socially, politically, and economically? Explain in detail. What does it mean to feel "invisible" in the United States? In what ways is Tammy Crabtree invisible, and to whom? The boiling point of water, H2O, is 100.000 C at 1 atmosphere. Kb(water) = 0.512 C/m In a laboratory experiment, students synthesized a new compound and found that when 13.62 grams of the compound were dissolved in 217.5 grams of water, the solution began to boil at 100.094 C. The compound was also found to be nonvolatile and a non-electrolyte. What is the molecular weight they determined for this compound ? Magnitude of u = 15, direction angle = 35 Magnitude of v = 18, direction angle = 60 Find the magnitude and direction angle for u + v. Round the magnitude to the nearest tenth and the direction angle to the nearest whole degree. Select the correct answer.Which of the following is a reason to use parallel sentence structures in a literary analysis essay?A. They help ensure that you correctly use coordinating conjunctions.B. They are a good technique for summarizing the literary work you are analyzing.C. They provide the best format for wording the thesis statement of the essay.D. They help ensure that each sentence reads clearly and logically. In which situation is a driver considered to be under the influence?The person is driving while using illegal drugs.The person is driving while drinking a caffeinated beverage.The person is driving with less than the legal limit of blood alcohol.The person is driving after taking over-the-counter medication.TI Which feature is associated with a prt--porter line? Ready to wear Exclusive fabric Time consuming designs Custom made What is -0.8+1.4n=2+0.7n A heat engine running backward is called a refrigerator if its purpose is to extract heat from a cold reservoir. The same engine running backward is called a heat pump if its purpose is to exhaust warm air into the hot reservoir. Heat pumps are widely used for home heating. You can think of a heat pump as a refrigerator that is cooling the already cold outdoors and, with its exhaust heat QH, warming the indoors. Perhaps this seems a little silly, but consider the following. Electricity can be directly used to heat a home by passing an electric current through a heating coil. This is a direct, 100% conversion of work to heat. That is, 20.0 \rm kW of electric power (generated by doing work at the rate 20.0 kJ/s at the power plant) produces heat energy inside the home at a rate of 20.0 kJ/s. Suppose that the neighbor's home has a heat pump with a coefficient of performance of 7.00, a realistic value. NOTE: With a refrigerator, "what you get" is heat removed. But with a heat pump, "what you get" is heat delivered. So the coefficient of performance of a heat pump is K=QH/Win. An average price for electricity is about 40 MJ per dollar. A furnace or heat pump will run typically 300 hours per month during the winter. What does one month's heating cost in the home with a 16.0 kW electric heater?What does one month's heating cost in the home of a neighbor who uses a heat pump to provide the same amount of heating? How does the untied states illustrate the process of globalization