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
eimsori [14]
3 years ago
5

Simplify the following ​

Mathematics
1 answer:
Airida [17]3 years ago
8 0

Answer:

-x+x^1/2+2/2(1+x)

Step-by-step explanation:

You have to move the parentheses then apply the fraction rule.

You might be interested in
On the graph, △DEF was transformed to create △DGH.
mafiozo [28]

Answer:

it's B

Step-by-step explanation:

by analyzing it I figured it was 100% B

8 0
2 years ago
Read 2 more answers
find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0​
Citrus2011 [14]

Answer:

Radius: r =\frac{\sqrt {21}}{6}

Center = (-\frac{3}{2}, -\frac{2}{3})

Step-by-step explanation:

Given

9x^2 + 9y^2 + 27x + 12y + 19 = 0

Solving (a): The radius of the circle

First, we express the equation as:

(x - h)^2 + (y - k)^2 = r^2

Where

r = radius

(h,k) =center

So, we have:

9x^2 + 9y^2 + 27x + 12y + 19 = 0

Divide through by 9

x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0

Rewrite as:

x^2  + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}

Group the expression into 2

[x^2  + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}

[x^2  + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}

Next, we complete the square on each group.

For [x^2  + 3x]

1: Divide the coefficient\ of\ x\ by\ 2

2: Take the square\ of\ the\ division

3: Add this square\ to\ both\ sides\ of\ the\ equation.

So, we have:

[x^2  + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}

[x^2  + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2

Factorize

[x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2

Apply the same to y

[x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}

Add the fractions

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}

[x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}

Recall that:

(x - h)^2 + (y - k)^2 = r^2

By comparison:

r^2 =\frac{7}{12}

Take square roots of both sides

r =\sqrt{\frac{7}{12}}

Split

r =\frac{\sqrt 7}{\sqrt 12}

Rationalize

r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}

r =\frac{\sqrt {84}}{12}

r =\frac{\sqrt {4*21}}{12}

r =\frac{2\sqrt {21}}{12}

r =\frac{\sqrt {21}}{6}

Solving (b): The center

Recall that:

(x - h)^2 + (y - k)^2 = r^2

Where

r = radius

(h,k) =center

From:

[x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}

-h = \frac{3}{2} and -k = \frac{2}{3}

Solve for h and k

h = -\frac{3}{2} and k = -\frac{2}{3}

Hence, the center is:

Center = (-\frac{3}{2}, -\frac{2}{3})

6 0
2 years ago
Can someone help me :(( thank you so so much if u do <33:)
Keith_Richards [23]

Answer:

13

Step-by-step explanation:

8-13=-5

4 0
2 years ago
Read 2 more answers
I need help on this.​
ale4655 [162]

Answer:

the x should be 10x7-(9x6)

Step-by-step explanation:

because it should be 10x7-(4+30)

3 0
3 years ago
Read 2 more answers
Simplify 2s + 4 + (-6s) +10
erma4kov [3.2K]

Answer:-4s+14

Step-by-step explanation: combined like terms.

2s-6s= -4s, 4+10=14

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the graph of the inequality? 3y - 9x ≥ 9
    11·1 answer
  • Distributive property answer of 4×9
    14·1 answer
  • (b) The mean score for a class sitting a Physics test is 46, with stan- dard deviation of 4. The mean score for the same class i
    11·1 answer
  • What all is equivalent to 7:5
    13·1 answer
  • M/5-3= 2 what is m in the equation
    13·2 answers
  • Which rational number is positive?
    12·2 answers
  • You spent 904 dollars including tax to computer. Tax is 13% Find out the price of the computer.​
    15·1 answer
  • How many bacteria will there be in 4.5 hours? In 5 hours?
    7·1 answer
  • Which number is an integer?
    13·1 answer
  • A stack of printer paper is 2 inches thick and contains 500 sheets. estimate the thickness of an individual sheet of the printer
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!