Write the equation x2 + 6x + y2 – 8y = 19 in standard form.

Question 11 options:


1)
(x + 3)2 + (y – 4)2 = 44


2)
(x + 3)2 + (y – 4)2 =


3)
(x – 3)2 + (y – 4)2 =


4)
(x + 3)2 + (y + 4)2 = 44

Answers

Answer 1

Answer:

i think its 2

Step-by-step explanation:

Answer 2

The equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44. Hence, Option A is the correct answer.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given the equation as;

x² + 6x + y² - 8y = 19

We need to find the standard form of the equation.

Thus, we have,

(x²  + 6x )+(y²- 8y) = 19

We shall complete the square for the term;

(x²  + 6x + 9 - 9 ) + (y² +  4y + 16 - 16) = 19

Simplifying, we get,

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19 + 9 + 16

Formula used :

x²+2xy+y² = (x+y)²

x²-2xy+y² = (x-y)²

Simplifying, we get,

(x + 3)² + ( y - 4)² = 44

Thus, the equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44.

Hence, Option A is the correct answer.

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Related Questions

What is the order of operations needed to evaluate the expression 4(5)−8÷2?

Answers

Using PEMDAS we would do the multiplication and division first and then the subtraction. So 4*5 = 20 and 8/2 is 4 so therefore 20-4 is 16.

Answer:

PEMDAS (Multiply and divide, then add and subtract)

Step-by-step explanation:

Multiply 4 and 5 to get 20-8/2

Divide 8 by 2 to get 20-4

subtract to get 16

50 POINTS!!!There were 50 questions on Vince's math test. He answered 45 questions correctly. What percent of the questions did Vince answer correctly?

Answers

Answer:

90%

Step-by-step explanation:

50 x 2 is 100

40 x 2 is 80

5 x 2 is 10

80 +10 = 90

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!

Cecilia records the weight change in her cat over 2 weeks. What number does she record as the total weight change for her cat?


LOOK AT THE ATTACHED PICTURE

Answers

Answer:

The total change is [tex]\frac{1}{16\\}[/tex]

Step-by-step explanation:

Find the difference write the answer in simplest form 11/18 -1/6

Answers

Answer:

4/9

or

0.4

Step-by-step explanation:

A coin contains 9 grams of nickel and 16 grams of Copper, for a total of 25 grams. What percentage of the metal is copper?

Answers

Answer:

The copper percentage = 64%

Step-by-step explanation:

Given

Nickle quantity = 9 grams of nickelCopper quantity = 16 grams of nickelTotal quantity = 25 grams

The percentage of copper metal can be determined using the formula

Copper percentage = [Copper quantity / Total quantity] × 100

                                  = [16 / 25] × 100

                                   = 0.64 × 100

                                   = 64%

Therefore, the copper percentage = 64%

Evaluate (-3^3)/6^2. Write your answer as a fraction in simplest form.

Answers

Answer: i know its -0.75, but thats decimal, you might just have to make that a fraction yourself, sorry

Step-by-step explanation:

Following are the calculation to the simplest form:

Given:

[tex]\frac{(-3^3)}{6^2}[/tex]

To find:

simplest form=?

Solution:

[tex]\to \frac{(-3^3)}{6^2}= \frac{(-27)}{36}= \frac{-9}{12}=\frac{-3}{4}[/tex]

Therefore, the final answer is "[tex]-\frac{3}{4}[/tex]".

Learn more:

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a
prime number less than 10 as the second digit. (Note that 1 is not a prime number.)
The probability that the winning ticket has the vowel contained in the word event and the digit is the number of
letters in the word event is 1/20 .
Reset
Next

Answers

Answer:

yes 1/20 is correct

Step-by-step explanation:

The probability that the winning ticket will have the letter e on it would be P=5%.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

For the probability of two independent events:

P(A and B) = P(A) P(B)

so we have to find the probability for each event to happen.

For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a prime number less than 10 as the second digit.

(Note that 1 is not a prime number.)

There are 5 vowels in the alphabet (a, e, i, o, and u).

Therefore the probability for the first letter to be e

P(A) = 1/5

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7)

so the probability for the number to be a 5 is:

P(B) = 1/4

Now, the probability of getting a ticket that starts with an e and ends with a 5

P(A and B) = P(A) P(B)

= 1/4 x 1/5

= 1/20

Therefore, the probability is 5%.

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Debra tutors history. For each hour that she tutors, she earns 50 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.

Write an equation relating E to H . Then use this equation to find Debra's earnings after tutoring for 19 hours.

Answers

E x 19 = h I’m pretty sure

2(5x+7)=16
what the answer?

Answers

Answer:

x = 1/5

Step-by-step explanation:

2(5x + 7) = 16

2 * 5x + 2 * 7 = 16

10x + 14 = 16

10x = 16 - 14

10x = 2

x = 2/10

x = 1/5

asappp please . Explain

Answers

Answer: D: 2 1/2

Step-by-step explanation:

The answer is D. 5/2 is equal to 2 wholes and a half making it 2 and 1/2

PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!

Answers

Answer:

line X

Step-by-step explanation:

Will give brainliest again for help

Answers

Answer:

B and C are the answers

Step-by-step explanation:

this is the second time my answer has been deleted.

angles FMK and HMK are congruent because corresponding angles are congruent----  if you were to cut this in half horizontally, then place the two pieces on top of each other, you would see that the angles line up perfectly.

angles GMK and JNL are supplementary because they add up to 180 degrees-- Alternate exterior angles are supplementary.

PLEASE HELP ASAP please someone help me so far my day has sucked and I need help. this is easy math just help meeeee.
5/6 +4/5
please help me answer correctly my grade depends on it

Answers

Answer:

1  19/30

Step-by-step explanation:

Answer:

NEVERMIND (I thought 45/30, but i dont know)

Step-by-step explanation:

estimate the quotients 6.15 ÷ 31​

Answers

THE ANSWER IS 0.1983871

what is 20÷40+30-400÷10000​

Answers

Answer:

brainly: this looks like a question for a calculator.

Step-by-step explanation:

Answer:

30.46

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

14 miles and 13 yards :)

Solve the inequality:

Please select the best answer from photo of choices provided.​

Answers

Answer:

b. h>-4

Step-by-step explanation:

Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.

[tex]\frac{3}{2}h+12\geq 6[/tex]

To solve first subtract 12 from both sides

(3/2)h>-6

Then, multiply both sides by (2/3)

h>-4

What is the equation for calculating the area of a triangle?

A = 1/4 base · height
B = length · width
C = pi · height
D = 1/2 base · height

Answers

Answer:

A= 1/2 base*height

Step-by-step explanation:

: )

The correct equation for calculating the area of a triangle is D = 1/2 base · height.

The equation for calculating the area of a triangle is D = 1/2 base · height. This formula represents the most commonly used method for finding the area of a triangle.

To use this formula, you multiply the base of the triangle by its corresponding height, and then divide the result by 2.

This is because the area of a triangle is equal to half the product of its base and height.

By dividing by 2, we account for the fact that a triangle is essentially half of a parallelogram.

Therefore, the correct equation for calculating the area of a triangle is D = 1/2 base · height.

Learn more about the triangles here:

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given H(x)=4(x+3), which of the following is the value of H(-2)?

Answers

Answer:

H(-2)=4

Step-by-step explanation:

H(x)=4(x+3)

Let x =-2

H(-2)=4(-2+3)

      =4(1)

     = 4

What is (x-2)-(x-5)? Plz I will mark u brainliest.

Answers

Answer: 3

This is the simplified way

2. Which equation is true when x=3?
A. 8x = 28
B. X - 19 = 16
C. 28 + x = 25
D. S =1

Answers

the correct answer is c

Answer:c

Step-by-step explanation:

Abigail took a science test and got 36 correct and 4 incorrect answers. What was the percentage of correct answers?

Answers

Answer: 88.89

Step-by-step explanation: You put the correct answers over the number of answers in total 32/36 then you divide: Multiply the denominator (bottom) of the fraction by a number to make the denominator equal 100.

Multiply the numerator (top) of the fraction by the same number.

Answer:

90%

Step-by-step explanation:

First you have to find out what is the total amount of questions so 36+4=40

Anyway the answer is 90

Alexandra’s soccer team played 25 games and won 22 of
them. What percent did the team win?

Answers

Answer:

88%

Step-by-step explanation:

25*4=100. this means we have to multiply 22*4, which gets us 88%

Answer:

0.88%

Step-by-step explanation:

25 divided by 22

How many 1/ 3 pound hamburger patties can be made from 4 pounds of ground beef?

Answers

Answer:4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Each pound is equal to 3 of the 1/3 pound patties

multiply 3 by 4 and you get 12.

Simplify:
3 [23 + (4 – 2)3 – (6 - 2)2]
O A. 3
o
B. 12
D. 24
O o
E-3

Answers

Answer:

45

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3[23 + (4 - 2)³ - (6 - 2)²]

Step 2: Evaluate

[Brackets] (Parenthesis) Subtract:                                                                    3[23 + 2³ - 4²][Brackets] Exponents:                                                                                     3[23 + 8 - 16][Brackets] Add:                                                                                                  3[31 - 16][Brackets] Subtract:                                                                                          3[15]Multiply:                                                                                                             45

Will give Brainliest! Please answer quickly! :) M'N'O'P' has vertices at M'(5, 4), N'(6, 4), O'(6, 7) and P'(3, 7). THe center of dilation is the origin, MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5) and P(4.5, 10.5). What is the algebraic representation of this dilation?

a
(x, y) --> (1/2x, 1/2y)
b
(x, y) --> (3/2x, 3/2y)
c
(x, y) --> (2/3x, 2/3y)
d
(x, y) --> (1/3x, 1/3y)

Answers

Answer:

It might be b

Step-by-step explanation:

I think it is B

There are six hats and seven mittens what is the ratio of mittens to total

Answers

Answer:

7:13

Step-by-step explanation: The ratio of mittens is 7 and the ratio of the total items (including the hats) would be 13, because 6+7=13. Therefore, the ratio of mittens to the total would be 7:13. Hope this helps ^-^.

(2x+37-4)-(5x + 2)
This is super URGENT please helppp

Answers

Answer:

-3x+31

Step-by-step explanation:

Ok so first let's get the negative out of the parentheses

(2x+37-4)-(5x+2) -> 2x+37-4-5x-2

Now this will make it easier to simplify the equation

2x-5x+37-4-2

All you have to do from there is simplify

-3x+31

Sydney wants to make 15 beaded rings for a craft show. She needs 60 beads for each ring. She has 852 beads. Does Sydney have enough beads to make 15 complete rings?
(She can only make 14 rings I just need to know how many she has leftover)

Answers

she would have twelve beads left over .

Answer:

She actually does have enough beads to make 15 complete rings

Step-by-step explanation:

- 5/6e (the fraction) - 2/3e (the fraction)=-24

Answers

Answer:

I believe this is the correct answer. e = 16

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