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
svetlana [45]
3 years ago
14

Solve for y x=y^2+4y

Mathematics
1 answer:
Lorico [155]3 years ago
4 0
x=y^2+4y\\ y^2+4y-x=0\\\Delta=4^2-4\cdot1\cdot(-x)=16+4x\\\\
1.\ \Delta0\\
\sqrt{\Delta}=\sqrt{16+4x}=\sqrt{4(4+x)}=2\sqrt{x+4}\\
y_1=\frac{-4-2\sqrt{x+4}}{2\cdot1}=-2-\sqrt{x+4}\\
y_2=\frac{-4+2\sqrt{x+4}}{2\cdot1}=-2+\sqrt{x+4}\\

-----------------------------------------------------

x=y^2+4y\\ y^2+4y-x=0\\
y^2+4y+4-4-x=0\\
(y+2)^2=x+4\\
y+2=\sqrt{x+4} \vee y+2=-\sqrt{x+4}\\
y=-2+\sqrt{x+4} \vee y=-2-\sqrt{x+4}\\

You might be interested in
In percent of change what is 10 to 20
djyliett [7]
I think it may either be 10 or 100.. do you have options to choose from?
5 0
2 years ago
Interest of 3 million dollars 100% and 50 years please help
dlinn [17]

Answer:

$3,377,699,720,527,868,854,272  

Step-by-step explanation:

Hope this helps

4 0
3 years ago
Read 2 more answers
5x +3 <br> ____ = -9 plz help these are impossible!!<br> -2
kiruha [24]

My work is shown up above in the picture.

4 0
3 years ago
Read 2 more answers
your friend is choosing between two music download companies. MyTunes charges $2.50 per song. Great Songs charges $1.50 per song
vichka [17]

Answer:

After 100 songs

Step-by-step explanation:

2.50x=1.50x+50

.50x=50

÷.50

X=100

4 0
3 years ago
The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l
sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

A=\frac{\sqrt{3} }{4} x^2

(c)

A=\frac{3\sqrt{3} }{2} x^2

(d)

V=\frac{3\sqrt{3} }{2} x^3 units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

=\frac{\sqrt{3} }{4} b^2

h=3x

b=x

now, we can plug values

A=\frac{\sqrt{3} }{4} x^2

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

=6\times \frac{\sqrt{3} }{4} x^2

=\frac{3\sqrt{3} }{2} x^2

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)

V=\frac{3\sqrt{3} }{2} x^3 units^3


3 0
3 years ago
Read 2 more answers
Other questions:
  • If a four-sided figure has four congruent sides, then it has four right angles. Prove this wrong
    11·1 answer
  • Draw a line segment PQ of length 8cm. Find 1/4 of PQ using compass.
    11·2 answers
  • 5 times 2 + 8 dived by 5 we’re doing the parentheses go
    5·1 answer
  • The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point-slope
    11·1 answer
  • Which statement is true?
    8·2 answers
  • Help help help helpn
    11·1 answer
  • It says on image below I think
    9·2 answers
  • Question in the picture!!
    13·2 answers
  • Solve for x: <br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D%20-%206%3D-5" id="TexFormula1" title="\frac{x}{12} -
    13·2 answers
  • Determine the area of a circle
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!