Line AB is the diameter of circle T. Point A is located at (-4, 2) and point B is located at (2, -8). What are the coordinates of the center of this circle?

A. (-3, -5)
B. (-2, -4)
C. (-1, -3)
D. (-4, -2)

Answers

Answer 1

Answer:

(-4, 2) y(2, -8)

{-4 y(2, -8), 2 y(2, -8)}

-4 y(2, -8) + 2 y(2, -8) = -2 y(2, -8)

-y(2, -8)

2 sqrt(5) abs(y(2, -8))

Step-by-step explanation:

D

Answer 2

Answer:

C

Step-by-step explanation:

The center will be the midpoint of the line connecting A and B.

x=(-4+2)/2=-2/2=-1

y=(2-8)/2=-6/2=-3


Related Questions

what is the answer to this?

Answers

Answer:

x= -1, y = -1

Step-by-step explanation:

-16x +24y = -8

16x -8y = -8

16y = -16

y=-1

16x = -16

x = -1

Answer:

x = - 0.25 = - 1 / 4

y = 0.5 = 1 / 2

Step-by-step explanation:

4x + 6y = 2

Divide 2 on both sides,

2x + 3y = 1 ----> eq. 1

16x - 8y = - 8

Divide - 8 on both sides,

- 2x + y = 1 ----> eq. 2

Add eq. 1 and 2,

2x + 3y = 1

- 2x + y = 1

_________

0 + 4y = 2

4y = 2

y = 2 / 4

y = 1 / 2

y = 0.5

Substitute y = 0.5 in eq. 2,

- 2x + y = 1

- 2x + 0.5 = 1

- 2x = 1 - 0.5

- 2x = 0.5

x = 0.5 / - 2

x = - 0.25

a) The nth term of a sequence is given by 3n + 5. Write down the first four terms of the sequence.​

Answers

If you plug in n = 1, then you get 3*n+5 = 3*1+5 = 3+5 = 8. So 8 is the first term.

Repeat for n = 2 and you should get 3n+5 = 3*2+5 = 6+5 = 11. Or simply add 3 to the last term 8 to get 3+8 = 11.

Repeat for n = 3 and n = 4 to get the third and fourth terms to be 14 and 17 respectively.

Answer: The first four terms are 8, 11, 14, 17

What is the value of x that makes l1||12?
A. 11.3
B. 14
C. 22
D. 10

Answers

Answer:

[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]

The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the P-value for a two-tailed test of hypothesis.

Answers

Answer:

The appropriate answer is "0.0124".

Step-by-step explanation:

Given:

Test statistics,

z = 2.5

By using the z-table,

p value for one tailed test will be:

= 0.0062

For two-tailed test,

⇒ [tex]p \ value = 2\times 0.0062[/tex]

                 [tex]=0.0124[/tex]

(NECESITO PROCEDIMIENTO)
9x + 8 = 7x + 6

X= -1

X= 1/3

X= 1

Answers

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]9x+8=7x+6[/tex]

Keep the variables in the left side & rest in the left side:

[tex]9x-7x=6-8[/tex]

[tex]2x=-2[/tex]

[tex]x=-2/2[/tex]

[tex]x=-1[/tex]

PLEASE HELP!! Angle K has a measure of 83° and is reflected across the line y = 2 to get angle K'.
What is the measure of angle K'?
Enter your answer as the correct value, like this: 42

Answers

Answer:

[tex]K' = 83^o[/tex]

Step-by-step explanation:

Given

[tex]K = 83^o[/tex]

Reflection: [tex]y= 2[/tex]

Required

K'

The general rule is that, reflection does alter measurements (angles or lengths).

So, this means that K' will have the same measure as K.

i.e.

[tex]K' = K[/tex]

[tex]K' = 83^o[/tex]

Susie is paying $540.15 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?

Answers

Answer:

17310.6

$540.15 multiply 30

because if they ask all in every month is 540.15

and she got 30 year

Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.

How to determine How much how much interest will she pay over the 30 years of payments

To determine the total interest Susie will pay over the 30 years of mortgage payments, we need to subtract the principal amount (the original loan amount) from the total amount she will pay over the 30 years.

First, let's calculate the total amount she will pay over the 30 years by multiplying her monthly payment by the number of months in 30 years:

Total amount paid = Monthly payment x Number of months

= $540.15 x (30 years x 12 months/year)

= $540.15 x 360

= $194,454

Next, we subtract the principal amount from the total amount paid to find the total interest paid:

Total interest paid = Total amount paid - Principal amount

= $194,454 - $150,000

= $44,454

Therefore, Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.

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Solve the system of equations.

Answers

Answer:

(-1,3) and (2,6)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

The graphs intersect at x=-1 and y =3  and x = 2 y=6

(-1,3) and (2,6)

If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)

Answers

Answer: some parts of your question is missing below is the missing data

Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y

answer:

F is conservative

F = -6xe^y + ( 33 + 9 ) e^y + C

Step-by-step explanation:

The Potential functions for F so that F = ∇f.

F = -6xe^y + ( 33 + 9 ) e^y + C

attached below is a detailed solution

what is the solution to the equation below sqrt x+3 = x-3
A. 5
B. 6
C. 4
D. 3

Answers

Answer:

The value of x = 6

Step-by-step explanation:

Given:

√x + 3 = x - 3

Find:

The value of x

Computation:

Given expression

√x + 3 = x - 3

Squaring both side

(√x + 3)² = (x - 3)²

x + 3 = x² + 3² - (2)(x)(3)

x + 3 = x² + 9 - 6x

x² + 9 - 6x - x - 3 = 0

x² + 7 - 5x = 0

x² - (6 + 1)x + 6 = 0

x² - 6x - x + 6 = 0

x(x - 6) -1(x - 6) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

The value of x = 6

Two boys are running track. They decide to start in the northwest corner and go opposite directions around the rectangular track. If the width of the track is 150 yards and the diagonal is 240 yards, what is the length of the track?

Answers

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The length of the rectangular track is 187.35 yards.

What is Pythagoras theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the width of the track is 150 yards and the diagonal of the track is 240 yards. The length of the track is,

(Diagonal)² = (Length)² + (Width)²

240² = Length² + 150²

Length = √(240²-150²)

Length = 187.35 yards

Hence, the length of the rectangular track is 187.35 yards.

Learn more about Pythagoras' Theorem:

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which of the following is the symbol for parallel lines AB and XY?

Answers

Answer

A is the symbol for parallel lines AB and XY.

Explanation

B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.

C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.

Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.

The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40. Calculate the mean, median and mode.

Answers

Answer: Mean = 27.33

Median = 27

Mode = 25 and 27

Step-by-step explanation:

1. Mean is the addition of all the numbers divided by how many numbers that are there.

Mean = (16 + 17 + 19 + 20 + 20 + 21 + 23 + 24 + 25 + 25 + 25 + 26 + 26 + 27 + 27 + 27 + 28 + 29 + 30 + 32 + 33 + 33 + 34 + 35 + 37 + 39 + 40) / 27

Mean = 738/27

Mean = 27.33

2. Median is the number in the middle in the ascending or descending other and this will be:

Median = 27/2 = 13.5 = 14th number = 27.

The median is 27.

3. Mode is the number that appears most and this will be 25 and 27 since they appear thrice which is the most times

-
Which is the solution to the inequality?
2
8
15
o b<2 113
o
b>2 1 1
o b<3 7
o b> 3 7

Answers

All we see is - we can’t see anything

Use your graphing calculator to find the equation of the trend line for the scatterplot below.
PLEASE HELPPPPP

Answers

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Help quick! I'll mark your answer as the brainliest if your answer is correct!
Jin is asked to graph this system of equations:
3x + 4y = 3
4y + 3x = 4
How many times will the lines intersect?

A. The lines will not intersect, because this system has no solutions.
B. The lines will intersect infinitely many times, because they are identical.
C. There is no way to tell without graphing the lines first
D. The lines will intersect once, because this system has one solution.

Answers

Answer:

They would never intersect because they are parallel lines. You can tell they are parallel lines because they have the same slope and they have a different y-intercept. However, this doesn't mean that there was no solutions, there were, thats how i was able to tell what their slopes and y-intercepts were. So if there is an answer that you can choose from that explains that they won't intersect because they are parallel then that is the correct answer. It may be C, but I would see if there is another option.

Solve the equation P=s+t+r for s.

Answers

Answer:

[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]

Step-by-step explanation:

[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]

PLEASE HELP!!

Compare the following data sets that can be modeled linearly.

Data Set A: (1,12), (2,74), (3,193), (4,89), (5,210), (6,143)
Data Set B: (1,203), (2,109), (3,76), (4,42), (5,59), (6,33)

Which data set has a better linear model? Why?
Select the option that correctly answers both questions.

A.) Data Set A, because its correlation coefficient is lower.
B.) Data Set A, because its correlation coefficient is closer to 1.
C.) Data Set B, because its correlation coefficient is higher.
D.) Data Set B, because its correlation coefficient is farther from 0.

Answers

Answer:Data Set B, because its correlation coefficient is farther from 0.

Step-by-step explanation:

I got it right soo <3

In a function, y varies inversely with x. The consistent of variation is 4. Which table could represent the function?

Answers

Answer:

none of the tables shown

Step-by-step explanation:

Inverse variation is

xy = k where k is the constant

xy = 4

in the top table

-2*2 = -4 so it cannot be the first table

In the middle table

-2 * -8 = 16  so it is not the middle table

In the bottom table

-2 *4 = -8 so it is not the bottom table

There must be a table not shown

Sally ha estado midiendo una flor para un proyecto científico. La flor ha crecido \dfrac{1}{2} 2 1 ​ start fraction, 1, divided by, 2, end fraction centímetro cada día y ha crecido un total de 222 centímetros desde que empezó a medirla.

Answers

1 is the right answer

Answer:

Step-by-step explanation:

ok bro la primera es


I need to make c square into c but how do I divide 80 by the square?

Answers

You don't "divide by the square" - c ² means you are multiplying c by c.

To solve for c in this equation, you would have to do the opposite of taking a square, which in this case means taking the square root of both sides.

c ² = 80

==>   √(c ²) = √80

==>   |c| = √80

Then c = +√80 or c = -√80.

in how many years will the interest of a sum of rs 3600 at the rate of 5.5% per year be rs 594?​

Answers

Answer:

In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.

Step-by-step explanation:

T = ?

R = 5.5%

P = Rs 3600

I = Rs 594

so

T = (I×100)/(P×R)

or, T = (594×100)/(3600×5.5)

or, T = 59400/19800

so, T = 3 yrs

HALP ASAP, also im in or going into 7th grade it only goes from 10th to 100??
which makes know sence

Answers

The answer is -5


It goes down by 2s so -10 then -8 then -6 then finally -5

A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?​

Answers

Step-by-step explanation:

the answer is in the image above

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.

Answers

Answer:

64 = 2(3x + x)

Step-by-step explanation:

Perimeter of the rectangle = 64 cm

Width of the rectangle = x

Length of the rectangle = 3x

Perimeter of a rectangle = 2(length + width)

The equation is

64 = 2(3x + x)

64 = 6x + 2x

64 = 8x

x = 64/8

x = 8 cm

Width of the rectangle = x = 8 cm

Length of the rectangle = 3x

= 3(8 cm)

= 24 cm

Can someone please help! Thank you so much!

Answers

Answer:

a. 3x (150 degrees)

b. 9x (180 degrees)

c. 3x - 20 (220 degrees)

Simplify 3000x 35% /100

Answers

i’m sorry i really need points

Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030

Answers

Answer:

$960

Step-by-step explanation:

Let the original amount be = x

Percentage increase is equal to = 12.5%

final amount = original amount + increase

final amount = x + 0.125x

final amount = 1.125x

final amount = 1080 = 1.125x

and then solve for x

[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]

so in the end x is equal to $960

Solve the equation: 1080 = 1.25x

what is 2.9225 rounded to the nearest cent?

Answers

Answer:

2.92

Step-by-step explanation:

bvscscscscsccscd

Answer:

2.92

Is what I rounded

and hope it helps


pllllllssssss helpooppppp

Answers

I am sorry but I don’t know how to do this.
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