The points (-18, 15) and (-20, 15) lie on a circle with a radius of 1.
Find the coordinates of the center of the circle.​

Answers

Answer 1

Answer:

Step-by-step explanation:

eq. of any circle with center (h,k) and r=1 is

(x-h)²+(y-k)²=1²

points (-18,15) and (-20,15) lie on it.

(-18-h)²+(15-k)²=1

(15-k)²=1-(-18-h)²

and (-20-h)²+(15-k)²=1

(15-k)²=1-(-20-h)²

so 1-(-18-h)²=1-(-20-h)²

-(18+h)²=-(20+h)²

324+36h+h²=400+40h+h²

40h-36h=324-400

4h=-76

h=-19

(15-k)²=1-(-18-(-19))²=1-1=0

k=15

so center is (-19,15)


Related Questions

Math problem please help thank youuuuuu

Answers

Answer:

the answer is ( -8,-8 )

Step-by-step explanation:

the first point is in -8 and the second point is also in -8 , therefore the answer is ( -8,-8 )

NEED HELP ON THIS ASAP PLZ!!​

Answers

Tan=opp/adj

Tan37=opp/13

X=13tan37

Answer:

x = 9.7

Step-by-step explanation:

tan θ = opposite side / adjacent side

tan 37° = x / 13

multiply 13 on each side

13 × tan 37° = 13 × x /13

13 × tan 37° = x

Rewrite

x = 13 × tan 37°

multiply, we get

x = 13 × 0.75355..

x = 9.79620265

Round nearest tenth = 9.7

Someone help me please this is an emergency T.T

Answers

Answer:

x < 3

Step-by-step explanation:

The graph of f(x) is above the graph of g(x) for values of x less than 3.

Answer: x < 3

Find x round to the nearest degree?

Answers

i don't think this is complete question there isn't value for x

PLS HELP ASAP ILL MARK BRAINLIEST Find the geometric probability of landing in the shaded area of the picture. The small circle has a diameter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.

Answers

Answer:

1/80

Step-by-step explanation:

(the area of the small circle)/(the area of the larger circle)

= (π× 3²)/(π× 27²)

(=> eliminate π)

= 3²/27² = (1/9)² = 1/81

since the shaded area is inside the larger circle,

the geometric probability =

1/(81-1) = 1/80

Adam bought three kinds of
bagels at the bagel store. He
bought twice as many onion bagels as plain
bagels. He bought four more sesame
bagels than he did plain bagels. Adam ate
one of the sixteen onion bagels he bought
as soon as he got home. How many bagels
does Adam have left?

Answers

9514 1404 393

Answer:

  35

Step-by-step explanation:

The 16 onion bagels are twice as many as plain bagels, so there were 8 plain bagels.

There were 4 more sesame bagels than plain bagels, so there were 12 sesame bagels.

Adam has 8 plain, 12 sesame, and 15 onion bagels left, for a total of 35 bagels left.


Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

B

Step-by-step explanation:

LA = radius x 2 x pi x height = 6 x 2 x pi x 13 = 489.8 ft^2

PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!

Answers

Answer:

Step-by-step explanation:

you have two disks, and one rectangle

area of the disk = π [tex]r^{2}[/tex]

47 π x 2 = 94 π (for the two disks....

rectangle area = L x W

width = 14

Length = 2*π*r = 14π

area = 14*14π = 196 π

total = 196 π + 94 π = 290 π

Answer:

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for the surface area of a cylinder is this :

[tex]A = 2\pi rh+2\pi r^{2}[/tex]

"R" is 7, and "h" is 14. Knowing these values, let's solve.

[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest! :)

thvuvugufugy i need help pls i beg​

Answers

Answer:

A-10

B- -12

C-3.6

If you cant understand B is -12

Help and explain please and thanyouu

Answers

Answer:

f(-3.2) = - 7.2

Step-by-step explanation:

f(x) = [x] - 4

f(-3.2) will be ;

Here, we put - 3.2 in place of x as the question is interpreted as the value of f(x) when x = - 3.2

Therefore, we have ;

f(-3.2) = - 3.2 - 4

f(-3.2) = - 7.2

Help please If f(x) = -3x - 5 and g(x) = 4x-2, find (1-9)(x).

Answers

9514 1404 393

Answer:

  -7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

(f -g)(x) = -3x -5 -4x +2 = (-3-4)x +(-5+2)

(f -g)(x) = -7x -3

Find the volume of the figure shown below.

A)15 units^3
B)30 units^3
C)9 units^3
D)None of these answers
E)There is not enough information given

Answers

Answer:

B. 30 units³

Step-by-step explanation:

the volume= 5×2×3 = 30

When evaluated, which expression has a result that is a rational number?

Answers

Answer:

√144 * 0.25 is rational!

Step-by-step explanation:

tell this !!!!............​

Answers

Answer:

D

Step-by-step explanation:

Answer:

D....................

coz 100 has 0 so the number should at least have 0 in it

8 minus the difference of p and 4 un algebraic expression​

Answers

Answer:

8 - (p - 4)

Step-by-step explanation:

8 - (p - 4)

Please help immediately! In desperate need!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You know that f(0) = 2^0 = 1, so g(0) = -11 has been shifted down 12 units from f(x). A shift of half as much will be a shift down 6 units from f(x), or up 6 units from g(x).

In the attached, we have named the new function h(x). It is equivalent to g(x)+6. That is, you can add 6 to each of the g(x) table values to get the corresponding values for h(x).

The elective courses for next year are gym, shop, art, consumer science, criminal justice, and computer science. Amber needs to choose 3 electives. How many ways can she choose her electives

Answers

Answer:

She can choose her electives in 20 ways.

Step-by-step explanation:

The order in which she chooses the courses is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many ways can she choose her electives?

3 electives from a set of 6. So

[tex]C_{6,3} = \frac{6!}{3!(6-3)!} = 20[/tex]

She can choose her electives in 20 ways.

You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?

Answers

Answer:

24

Step-by-step explanation:

Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?

A)

As x → –∞, y → +∞ and as x → +∞, y → –∞

B)

As x → –∞, y → –∞ and as x → +∞, y → +∞

C)

As x → –∞, y → –∞ and as x → +∞, y → –∞

D)

As x → –∞, y → +∞ and as x → +∞, y → +∞

Answers

Answer:

A

Step-by-step explanation:

f(x)=-5x³+3x²+x-9

leading coefficient is negative and it is of odd degree.

so it starts from above onthe left  and ends at the bottom ont he right.

Find P(7). 1 2 3 4 5 6 7 8 where hand points to 3

1/8
1/4
1/2​

Answers

Answer:

1/2

Step-by-step explanation:

Every time clock moves 1 (like for example it move from 3 to 4) 1/8 it covers

3->4->5->6->7 => 1/8+1/8+1/8+1/8 => 4/8 => 1/2

At an effective annual interest rate i, i > 0, each of the following two sets of payments has present value K:

a. A payment of 121 immediately and another payment of 121 at the end of one year
b. A payment of 144 at the end of two years and another payment of 144 at the end of three vears.

Calculate i.

Answers

Answer:

Hence the calculated

Step-by-step explanation:

Now,

[tex]121+121v=144v^{2} + 144 v^{3} =K\\121(1+v)=144v^{2} (1+v)\\v^{2} =\frac{121}{144} \\\\v=\frac{11}{12}[/tex]

Then K is calculated as,

[tex]K=121(1+v)\\K=121(1+\frac{11}{12} )\\K=\frac{121(23)}{12} \\\\K= 231.916[/tex]

Here we get,

[tex]i=\left | \left ( \frac{v-1}{v} \right ) \right |\\i=\left | \frac{\frac{11}{12}-1}{\frac{11}{12}} \right |\\i=\frac{1}{11}[/tex]

WILL GIVE BRAINLIEST!

Which is the asymptote of the graph?




y = 0


y = −3


y = −2


y = −1

Answers

Answer:

y = -2

Step-by-step explanation:

_____________________

29 members in math club, treasury has $364 to spend, shirts are $11 caps are $14. How many caps and shirts can he buy to exhaust the funds available?

Answers

Answer:

14 shirts, 15 caps

Step-by-step explanation:

15 x 14 = 210$

14 × = 154$

210+154 = 364$

A shipping carton is in the shape of a triangular prism. The base area of the triangle is 6 inches squared and the the height of the prism is 15 inches. how many cubic inches of space are in the carton?

Answers

51

Step-by-step explanation:

uajdnensjdkalsnnamakksls

does anyone know the quotient of x and y

Answers

Answer:

[tex]\frac{x}{y}[/tex]

Step-by-step explanation:

There you go.

Answer: The quotient of x is invisible number it can be any number depending of the equation

Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!​

Answers

Answer: See the attached image below

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

Explanation:

The order of the lettering is important because the order tells us how the letters pair up.

For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.

The congruences for the segments are then built up from the angles.

Express secΦ in terms of tanΦ​

Answers

Answer:

[tex]\sec\theta=\sqrt{1+\tan^2\theta}[/tex]

Step-by-step explanation:

The trigonometric identity is :

[tex]\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta[/tex]

We need to express secθ in terms of tanθ.

The above equation becomes,

[tex]\sec\theta=\sqrt{1+\tan^2\theta}[/tex]

Hence, this is the required solution.

x[tex]x^{2}-8x+14=2x-7[/tex]

Answers

Answer:

[tex]x = 3\ or\ x = 7[/tex]

Step-by-step explanation:

Given

[tex]x^{2}-8x+14=2x-7[/tex]

Required

Solve

Equate to 0

[tex]x^{2}-8x-2x+14+7=0[/tex]

[tex]x^{2}-10x+21=0[/tex]

Expand

[tex]x^{2}-7x-3x+21=0[/tex]

Factorize

[tex]x(x-7)-3(x-7)=0[/tex]

Factor out x - 7

[tex](x-3)(x-7)=0[/tex]

Split

[tex]x - 3 = 0\ \ x - 7 = 0[/tex]

Solve

[tex]x = 3\ or\ x = 7[/tex]

Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding miles/hour. The records show that exactly of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

Answers

Answer:

the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

Step-by-step explanation:

The computation of the standard deviation of the speeds of cars is shown below;

The z score for the top 1% is 2.326

So,

= (75 - 61) ÷ standard deviation = 2.326

Standard deviation is

= 14 ÷ 2.326

= 6.0 miles per hour

Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, in miles per hour

Answers

Answer:  answer is A

A:3/32

B:2/3

C: 1 1/2

D:4

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