what's the standard equation of the circle with the general equation x2 + y2 + 4x - 2y - 20 = 0

Answers

Answer 1

Answer:

(x+2)2+(y-1)2=25

Step-by-step explanation:

x2+y2+4x-2y+4+1=20+4+1


Related Questions

Simplify this 12^-6/12^7

Answers

Answer:

[tex]\frac{1}{12^{13}}[/tex] or [tex]12^{-13}[/tex]

Step-by-step explanation:

[tex]\frac{12^{-6} }{12^7} = \frac{\frac{1}{12^6} }{12^7} = \frac{1}{12^{13}} =12^{-13}[/tex]

What is the value of the expression below when x =6 and y =2? Xy-y^3

Answers

answer:
4

step-by-step explanation:
x = 6
y = 2
xy - y^3
substituting
6(2) - 2^3
12 - 8
4

For which of the following compound inequalities is there no solution? ​

Answers

Answer:

(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]

Step-by-step explanation:

Required

Which of a to d has no solution

(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]

We have: [tex]m + 24 > 20[/tex]

Sole for m

[tex]m >20 - 24[/tex]

[tex]m >-4[/tex]

[tex]6m \le - 36[/tex]

Divide by 6

[tex]m \le -6[/tex]

So, we have:

[tex]m \le -6[/tex] and [tex]m >-4[/tex]

[tex]m \le -6[/tex] implies that: m = -6,-7,-8,-9.....

[tex]m >-4[/tex] implies that m = -3,-2,-1,0.....

Hence, there is no solution

2×x×3×y
[tex]2 \times x \times 3 \times y[/tex]

Answers

Answer:

6xy

Step-by-step explanation:

please answer this question​

Answers

itss 11

Step-by-step explanation:

no worries about it is the same time for me

Please help I really need this done

Answers

Answer:

your total is..

Step-by-step explanation:

$14.3 you just gotta add em all together!

Answer:

$69

Step-by-step explanation:

total cost of slices of pizza = 24 x 1.75 = $42

Total cost of carrots = 12 x 0.80 = $9.6

total cost of cookies = 12 x 1.45 = $17.4

total cost = 42 + 9.6 + 17.4 = $69

1. If AB = 4x+5 and CD = 5x-6, find CD.

Answers

Answer:

49

Step-by-step explanation:

Work is shown in the image

Melanie volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 467 people went to The Youth Wing, 433 people went to Social Issues, and 342 went to Fiction and Literature.On Sunday, the library had 1500 total visitors. Based on what Melanie had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number.

Answers

Answer:

413 people should be expected to go to Fiction and Literature

Step-by-step explanation:

Proportion of people who went to Fictions and Literature on Saturday:

342 out of 467 + 433 + 343 = 1243

The proportion is:

342/1243 = 0.275

On Sunday:

Based on Saturday, so 0.275 out of 1500(number of visitors on Sunday).

0.275*1500 = 412.5

Rounding to the nearest whole number:

413 people should be expected to go to Fiction and Literature

4/5 divided by 4/7 in simples form

Answers

Answer:

1 2/5

Step-by-step explanation:

4/5 divided by 4/7

(4/5) x (7/4) = 28/20=7/5 or 1 2/5

A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the product (x1 ), the number of different materials used (x2), and the amount spent on marketing the product (x3). The estimated regression equation is ŷ = 83- 2x1+ 6x2 + 1.1x3.

What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?

a. 83
b. 213
c. 185.4
d. 205.

Answers

Answer:

D) 205

Step-by-step explanation:

Given : Cost = 83 - 2 (time taken) + 6 (materials) + 1.1 (marketing cost)

Relationship Equation : y = 83- 2x1+ 6x2 + 1.1x3

Given, time (x1) = 5 , materials (x2) = 4 , marketing cost (x3) = 100

So, putting values, Cost : y = 83 - 2 (5) + 6 (4) + 1.1 (100)

= 83 - 10 + 24 + 110 = 207  

The closest to this calculated estimated figure ie 207, is 205.

Solve the inequality
x/2 > 1.52

Answers

Answer:

x> 3.04

Step-by-step explanation:

See The Image below:)

Find the x and y intercept of the equation -2x+4y=12

Answers

Answer:

x and y intercept

x —> (–6,0)

y —> (0, 3)

The value of a car is decreasing by 12​% per year. If the car is worth ​$11,000 ​today, what will it be worth in two​ years?

Answers

Answer:

$8518.40

Step-by-step explanation:

FV = PV(1+r)^n

FV = future value

PV = present value

r = rate

n = # of years

Value in 2 yrs = 11,000 x (1 - 0.12)^2 = 8518.4

Suppose that A, B, C, D, and E are matrices with the following sizes:
A B C D E
(4x 1) (4 x 1) (1 x 2) (2 x 1) (1 x 4)
Determine whether the matrix expression E (3B + A) is defined. Matrix is defined Enter the size of the resulting matrix (enter 'NA in each box if undefined).
E (3B + A) is a 3 X 3.

Answers

Answer:

The expression E (3B + A) is defined. The size of the resulting matrix is (1 x 1).

Step-by-step explanation:

Let's consider the following operations between matrices.

E (3B + A)

B is a matrix of (4 x 1), that is, it has 4 rows and 1 column. Let F = 3B. This is the product of a scalar by a matrix, which results in a matrix of the same size as the original. Then, F is a matrix of (4 x 1).

Now, let's consider the sum F + A, which we well call G. We can sum F and A because they are of the same size and we will get G, a matrix of the same size, (4 x 1).

Finally, we have the product E . G. We can multiply 2 matrices of sizes (m x k) and (k x n), that is, the number of columns of the first matrix must be equal to the number of rows of the second matrix, and the resulting matrix has a size (m x n). This is the case because E is (1 x 4) and G is (4 x 1), and the resulting matrix will be (1 x 1).

What is the value of n so the
expression 3(6+x) is equivalent
to 3(x+n)?

Answers

The answer is 6

3(6+x) is the same as 3(x+6)

is not the same because you can not add number to alphabet but you can multiple number to alphabet..

Please help and show how you got the answer

Answers

Answer:

.11/4 multiply by any number inside the brackets 12x and also 12 to remove the brackets.

2.collect the like terms 3x+8x=11x

3. Then final answer is 11x+3.

Answer:

11x + 3 is the simplest form

Step-by-step explanation:

1/4 (12x + 12) + 8x

First distribute the 1/4 to both terms in the parentheses

= 3x + 3 + 8x

then combine like terms

= 11x + 3

We can't solve for x, only simplify this equation.

A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5.

What is the area of the new rectangle?



Enter your answer in the box.

in2

Answers

Answer:

882 in^2

Step-by-step explanation:

Can anybody give me the answers to these questions

Answers

Answer:

830 cents

5n + p

Step-by-step explanation:

Given that :

Number of nickels = 140

Number of pennies = 130

Total coins :

140 nickels + 130 pennies

1 nickel = 5 cent

1 penny = 1 cent

Hence,

140(5) + 130(1)

700 + 130

= 830 cents in total

If :

number of nickels = n

Number of pennies = p

Tot coins :

5n + 1p

5n + p

Right Triangles

Solve the right triangle shown in the figure
BC = 2.7cm, AC = 1.1cm, ∠C = 90°

a. ∠A = 68°, ∠B = 22°. AB = 2.9cm
b. ∠A = 22°, ∠B = 68°, AB = 2.9cm
c. ∠A = 63°, ∠B = 27°, AB = 2.9cm
d. ∠A = 24°, ∠B = 66°, AB 3.8cm

Please select the best answer from choices provided

Answers

Answer:

A. ∠A = 68°, ∠B = 22°, AB = 2.9cm

Step-by-step explanation:

I calculated it logically

Solve 5(2x + 3) = 20

Answers

Answer:

Therfore, the value of x is 1/2.

Step-by-step explanation:

5(2x + 3) = 20

10x + 15 = 20

10x = 20-15

10x = 5

x = 5/10

x = 1/2

Answer:

0.5

Step-by-step explanation:

5(2x + 3) =20

10x + 15 = 20

10x = 20-15

10x =5

x= 1/2

Which sentence is punctuated correctly?




A) For breakfast we had bacon, and eggs, fruit juice, and cereal.

B) The novelist wrote poetry, short , stories and plays about her childhood in North Dakota .

C) The bank has branches in downtown Portland Beaverton Milwaukie , and Vancouver .

D) The athlete won the triathlon by running, a marathon , swimming two miles, and bicycling around the island.

Answers

Answer:

A) For breakfast we had bacon, and eggs, fruit juice, and cereal.

Hope this helps!!

The sections on a spinner are numbered from 1 through 8. If the probability of landing on a given section is the same for all the sections, what is the probability of spinning a number less than 3 or greater than 5 in a single spin?

Answers

Answer:

5/8

Step-by-step explanation:

There are two numbers from one to eight that are less than three (1 and 2). So 2/8 of the numbered sections are less than three.

There are three numbers from one to eight that are greater than five (6, 7, and 8). So 3/8 of the numbered sections are greater than five

Probability of getting a number less than three: 2/8

Probability of getting a number greater than five: 3/8

Probability of getting either in a single spin = 2/8 + 3/8 = 5/8

What is the mode for the following set of data?

2, 5, 7, 8, 11, 11, 12

8
10
11
no mode

Answers

the mode for the following set of data is 11

Answer:

11 is the answer

Step-by-step explanation:

I am the distance around the circle- it's perimeter WHAT AM I?​

Answers

I believe the answer is the circumference

I need the answer. Pls∝∝∝∝

Answers

Answer: it is going to be (B)

Answer:

C.256

Step-by-step explanation:

2(lb+bh+hl) = SA

length = 12

width = 4

Height = 5

2( 48+60+20)

128 x  2 = 256

help with the Measure of a triangle’s side

Answers

Answer:

x = 163.5

x = 1.2

Step-by-step explanation:

Recall: SOH CAH TOA

For the first triangle:

Reference angle = 73°

Opposite = x

Adjacent = 50

Apply TOA:

Tan 73° = Opp/Adj

Tan 73° = x/50

50*Tan 73° = x

163.542631 = x

x = 163.5 (nearest tenth)

For the first triangle:

Reference angle = 4°

Opposite = x

Adjacent = 17

Apply TOA:

Tan 4° = Opp/Adj

Tan 4° = x/17

17*Tan 4° = x

1.1887558 = x

x = 1.2 (nearest tenth)

2x+ 4y=20 find the slope for y and x

Answers

Answer:

y= 5  x=10

Step-by-step explanation:

substitute by 0

Order from greatest to least: 12, -4,8, -3, 0.

Answers

Answer:

-4,-3,0,8,12 its backwards my bad

Step-by-step explanation:

because it is

Answer:

12, 8, 0, -3, -4

hope it helps

help please and thank you

Answers

Answer:

B

Step-by-step explanation:

its 60°

thank me later

Answer:

B

Step-by-step explanation:

Triangles have angle totals adding to 180. You already have 120 so the other must be 60.

what is the coefficient of x in the algebraic expression (5a)x-17x^2+14a?​

Answers

Coefficient of 'x'= 5a

Coefficient of 'x square'= -17

Constant term = 14a

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