1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marta [7]
2 years ago
7

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

Mathematics
2 answers:
kirza4 [7]2 years ago
8 0

Answer:

Formula used :

  • <u>x²+2xy+y²</u><u> </u><u>=</u><u> </u><u>(x+y)²</u>
  • <u>x²-2xy+y²</u><u> </u><u>=</u><u> </u><u>(x-y)²</u>

→{x}^{2}  + 6x +  {y}^{2}  - 8y = 19 \\  ({x}^{2}  + 2.3.x +  {3}^{2} ) +({y}^{2}  - 2.4.y +  {4}^{2} ) = 19 +  {3}^{2}  +  {4}^{2}  \\  {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 19 + 9 + 16 \\  \boxed{ {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 44}✓

  • <u>3) (x+3)²+(y-4)²=44</u> is the right answer.
Rama09 [41]2 years ago
4 0

Answer:

option C

Step-by-step explanation:

using (X + 3)² + ( y - 4)² = 44

gives you directly x² + 6x + y² - 8y = 19

You might be interested in
A water balloon has a diameter of 6 inches. How many cubic inches of water does it contain when it is 3/4 full
Travka [436]
Below are the choices that can be found from other sources:

A) 36 pi 
<span>B) 6 pi </span>
<span>C) 27 pi </span>
<span>D) 216 pi </span>
<span>E) 48 pi
</span>
A sphere's volume is (4/3)*pi*r^3. 
<span>The diameter of the balloon is 6 inches. The diameter is twice the radius. The radius is 3 inches. </span>

<span>(4/3)*pi*3^3 = 36 * pi </span>

<span>But the balloon is only 3/4 full. So </span>

<span>36 * (3/4) * pi = 27 * pi. </span>

<span>The balloon has 27 pi cubic inches of water.</span>
7 0
3 years ago
If f(x)=3x-2 and g(x)=2x+1 find(f-g)(x)
Solnce55 [7]

Answer:

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

Step-by-step explanation:

f(x)=3x-2

g(x)=2x+1

(f-g)(x)= 3x-2 - ( 2x+1)

Distribute the minus sign

3x -2 -2x -1

Combine like terms

x-3

4 0
3 years ago
For a population with µ = 80 and σ = 20, the Sampling distribution of the Mean, based on n = 16 will have an expected value of t
allsm [11]

Answer:

Will have an expected value of the mean = 80 and a standard error of the mean = 5

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 80, \sigma = 20

n = 16

So the mean is 80 and the standard deviation is s = \frac{20}{\sqrt{16}} = 5

Will have an expected value of the mean = 80 and a standard error of the mean = 5

6 0
3 years ago
Select each equation that the number 103 makes true.
Vlad [161]

Answer:

None of those is right

But if you have to put something then try A and B

Step-by-step explanation:

Here's the right answer for each equation

A. 100

B. 1000

C. 1000

D. 10000

E. 100

So if the question was to select each equation that the number 100 makes true.

Then the answers would have been A and E

Hope this helps, have a beautiful day

6 0
2 years ago
HELP!!!!!! Find the length of the segment
lorasvet [3.4K]

Answer:

-2

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Area of square = 144x <br> Side of square = 4x <br> What does X___ = please answer this !!!
    5·1 answer
  • 1.) You need to buy grass seed for a new lawn. The lawn will cover a rectangular plot that is 60 feet by 90 feet. Each ounce of
    7·2 answers
  • Please Help!
    10·2 answers
  • Find the value of x.
    11·1 answer
  • What is the value of the expression below when z = 8 and w=<br> = 8?<br> 2z + 7w
    10·2 answers
  • What should be subtracted from (-62) to get (+95)​
    11·2 answers
  • Mr. Phan fills a portion of his pool with water on Monday. Then on Tuesday, he fills the pool with water coming from a hose at a
    13·1 answer
  • Please answer ... thanks
    14·1 answer
  • PLZ HELP ASAP WILL MARK BRAINLIEST
    9·1 answer
  • Twice one number added to another umber is 18. If the second number is equal o 12 less than 4 times the first number, find the t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!