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
vovangra [49]
3 years ago
10

Rewrite the equation y^2 – 4y – 2x – 4 = 0 in standard form.

Mathematics
1 answer:
patriot [66]3 years ago
8 0

y² - 4y - 2x - 4 = 0

<u>            +2x +4 </u>   <u>+2x + 4 </u>

y² - 4y              = 2x + 4

<u>             +4    </u>      <u>       +4 </u>      

 (y - 2)²          = 2x + 8

<u>              -8   </u>      <u>      -8 </u>

 (y - 2)²  - 8   = 2x

\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}

\frac{1}{2}(y - 2)² - 4 = x

x = \frac{1}{2}(y - 2)² - 4

<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>

You might be interested in
What is a mathematical expression for<br>x is fewer than 9?​
Marianna [84]
The mathematical expression for x is is fewer than 9 is x< 9
3 0
2 years ago
Annalee hammered in nail into a piece of wood each time she hammer the nail it went to 1/8 Inch deeper into the word if she hamm
mash [69]

Answer: 0.5 inch

Step-by-step explanation:

Given

On hammering nail advances \frac{1}{8}\ inch  each time

Annalee hammered 4 times

So, total advancement of nail= 4\times \dfrac{1}{8}=\dfrac{1}{2}\ inch

3 0
2 years ago
Please help... need help ASAP due today... which ones are the answers?
andrey2020 [161]

Answer:

Choices 1 and 4 are correct.

Step-by-step explanation:

We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:

\frac{4-(-2)}{3-1}=\frac{6}{2}=3

Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be -\frac{1}{x}. Therefore, if the line's slope is 3, then we need to find answers with a slope of-\frac{1}{3}.

The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, wherey-y_{1}=m(x-x_{1}). The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:

x+3y=9\\3y=9-x\\y=3-\frac{1}{3}x\\y=-\frac{1}{3}x+3

Equations like these can be real sneaky, so it's important not to jump to conclusions with them.

6 0
3 years ago
Please help!!!
xxMikexx [17]

Answer:

A = 1.5 π in² ≈ 4.7 in²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{\frac{\pi }{3} }{2\pi }

  = π × 3² × \frac{1}{6}

  = 9π × \frac{1}{6}

  =  1.5π in²

  ≈ 4.7 in² ( to the nearest tenth )

7 0
2 years ago
Kierra recorded her daily exercise activity for a month in this frequency table. Which problem shows how to solve for the follow
sineoko [7]

Answer:

i accidentaly put awnser and i dont know how to get out of here

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • The pattern of numbers is an arithmetic sequence 14, 24, 34, 44, 54. Which of the followings statements describes the recursive
    15·1 answer
  • What fraction of a pound is 70 pence
    8·1 answer
  • Please please help me out!!
    10·2 answers
  • What is the area of this figure?
    12·1 answer
  • Draw a rectangle that is 28 units by 12 units
    9·1 answer
  • 7/8 &amp; 4/9 is closest to 0,1,2,3
    13·2 answers
  • If h(x) = -2x - 10, find h(-4).
    15·1 answer
  • A normal distribution has mean = 56.3 cm, and
    8·2 answers
  • PLEASE ANSWER QUICKLY! WILL GIVE BRANLIEST
    7·1 answer
  • Which graph correctly represents the information from the table?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!