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
Agata [3.3K]
3 years ago
15

Simplify completely"""​

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

\displaystyle \frac{2(x + 2)}{x - 10}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{2x^2 + 20x + 32}{x^2 - 2x - 80}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                           \displaystyle \frac{2(x + 2)(x + 8)}{x^2 - 2x - 80}
  2. [Fraction] Factor denominator:                                                                       \displaystyle \frac{2(x + 2)(x + 8)}{(x - 10)(x + 8)}
  3. [Fraction] Divide:                                                                                             \displaystyle \frac{2(x + 2)}{x - 10}
You might be interested in
What are the final coordinates for the figure?
Gennadij [26K]

Answer:

2

Step-by-step explanation:

Reflection over y axis rule

(x,y) --------> (-x,y)

Rule explained:

Simply change the sign of the x value and keep the y value as it it

Coordinates of A (-4,0)

Apply reflection over y axis rule

(-4,0) -----> (4,0)

Next we want to apply a translation with the rule ( x - 5 , y + 2 )

Explanation of rule:

Simply subtract 5 from the x value and add 2 to the y value

Current coordinates of A (4,0)

Apply translation rule

(4,0) -------> ( 4 - 5 , 0 + 2 ) --------> (-1 , 2 )

The y value of coordinate A would be 2 after all of the transformations

3 0
3 years ago
Write each of these measurements using whole numbers of units.
Reptile [31]
A) 2 m b) 123 km c) 1 L
Hope this helps!
5 0
3 years ago
Let F(x)=-7x-12 and g(x)=13-3x. What is f-g?
Oxana [17]

Answer:

(f - g)x = -4x - 25

Step-by-step explanation:

Given:

f(x) = -7x - 12

g(x) = 13 - 3x

Required:

(f - g)x

SOLUTION:

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

f(x) - g(x) = (-7x - 12) - (13 - 3x)

= -7x - 12 - 13 + 3x

Collect like terms

= -7x + 3x - 12 - 13

(f - g)x = -4x - 25

8 0
4 years ago
The rent in an urban neighborhood is normally distributed. The mean is $650 per month with a standarddeviation of $50. Estimate
Vilka [71]

Solution

The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.

Mean is $650

Standard deviation = $50

\begin{gathered} \mu=650 \\ \sigma=50 \end{gathered}Z=\frac{x-\mu}{\sigma}=\frac{600-650}{50}=-\frac{50}{50}=-1Z=\frac{x-\mu}{\sigma}=\frac{750-650}{50}=\frac{100}{50}=2

[tex]P(-1

Therefore the estimated percent of apartment residents = 81.86%

4 0
1 year ago
Geometry Question attached below
Soloha48 [4]

I'm sure there's an easier way to do this, but this method does work:

First, AB = CD = CG + GF + FD, so FG = 2.

By the Pythagorean theorem, in triangle AFD we get

1^2+3^2=A F^2\implies A F=\sqrt{10}

and in triangle BCG,

2^2+3^2=BG^2\implies BG=\sqrt{13}

Angles AFD and EFG form a vertical pair, so they are congruent and have measure

m\angle EFG=\tan^{-1}3

Similarly, angles BGC and FGE are congruent and have measure

m\angle FGE=\tan^{-1}\dfrac32

Then the remaining angle in triangle EFG has measure

m\angle FEG=\pi-\tan^{-1}3-\tan^{-1}\dfrac32

We can solve for the lengths of FE and GE exactly by applying the law of sines:

\dfrac{\sin\left(\pi-\tan^{-1}3-\tan^{-1}\frac 32\right)}2=\dfrac{\sin\left(\tan^{-1}3\right)}{GE}=\dfrac{\sin\left(\tan^{-1}\frac32\right)}{FE}

\implies GE=\dfrac{2\sqrt{13}}3,FE=\dfrac{2\sqrt{10}}3

Let s be the semiperimeter of triangle ABE, so that

s=\dfrac{AB+BE+EA}2

Then according to Heron's formula, the area of triangle ABE is

\sqrt{s(s-AB)(s-BE)(s-EA)}=\dfrac{25}2

5 0
4 years ago
Other questions:
  • What is the definition of proof in geometry
    5·2 answers
  • Are all sides congruent?
    8·2 answers
  • Determine whether each number is rational or irrational
    15·1 answer
  • PLS HELP ASAP I WILL GIVE BRIANLEIST
    10·2 answers
  • What is the slope of the line on this graph between 10 and 20 seconds?
    15·1 answer
  • Pls help :( The graph shows the relationship between a puppy’s weight y, in ounces, and time x, in months, as it grows. Which fu
    9·1 answer
  • Which equation represents a line that passes through (2,-1/2) and has a slope of 3?
    5·1 answer
  • If (x+k) 2 (x+2) = x² +14x²+60x+72<br> Find the value of k.<br><br> I will give brainliest
    5·1 answer
  • 8x-10-4x= - 1/2 (12x-20) what is x
    7·1 answer
  • Victoria will borrow $31,652 at 15.5% APR. She will pay it back over 6 years. Whatwill her monthly payments be? (Use the table)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!