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
mihalych1998 [28]
3 years ago
13

Sqrt of 4a-4 + sqrt of a-1

Mathematics
1 answer:
Monica [59]3 years ago
5 0
\large\begin{array}{l} \textsf{Simplify the expression (I'm goint to call it E)}\\\\ \mathsf{E=\sqrt{4a-4}+\sqrt{a-1}} \end{array}


\large\begin{array}{l} \textsf{So E is a sum of two square roots. Notice that you can factor}\\\textsf{the 4 out on the first one:}\\\\ \mathsf{E=\sqrt{4\cdot a-4\cdot 1}+\sqrt{a-1}}\\\\ \mathsf{E=\sqrt{4\cdot (a-1)}+\sqrt{a-1}}\\\\ \mathsf{E=\sqrt{2^2\cdot (a-1)}+\sqrt{a-1}}\\\\ \mathsf{E=\sqrt{2^2}\cdot \sqrt{a-1}+\sqrt{a-1}}\\\\ \mathsf{E=2\cdot \sqrt{a-1}+\sqrt{a-1}} \end{array}

\large\begin{array}{l} \mathsf{E=2\cdot \sqrt{a-1}+1\cdot \sqrt{a-1}}\\\\ \mathsf{E=(2+1)\cdot \sqrt{a-1}}\\\\ \boxed{\begin{array}{l}\mathsf{E=3\cdot \sqrt{a-1}} \end{array}} \end{array}


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2179170


\large\textsf{I hope this helps. :-)}


Tags: <em>square root sqrt simplify expression radical irrational algebra</em>

You might be interested in
Kara spend $16 on tubes of paint and brushes for an art project. Each tube of paint costs $3 and each brush costs $ 0.50. Kara p
aalyn [17]

Answer: There are 4 tubes of paint she purchased.

Step-by-step explanation:

Since we have given that

Amount spend on tubes of paint and brushes for an art project = $16

Cost of each tube of paint = $3

Cost of each brush = $0.50

Let the price of tube of paint be 'x'.

Let the price of brush be '2x'.

So, According to question, it becomes,

3x+0.50\times 2x=16\\\\3x+x=16\\\\4x=16x\\\\x=\dfrac{16}{4}\\\\x=4

Hence, there are 4 tubes of paint she purchased.

8 0
3 years ago
Show your work of how you got your answer
IRISSAK [1]

Answer:

Slope=2                                (B)

Step-by-step explanation:

Find 2 points first.

(2,1) and (0,-3)

use y2-y1/x2-x1 formula

-3-1/0-2

-4/-2=2

8 0
3 years ago
Jack jogs and rides his bike for a total of 75 minutes every day. He rides his bike for 15 minutes longer than he jogs. Part A:
ivolga24 [154]

Jack jogs for 30 minutes and he rides his bike for 45 minutes

Let x represent the number of minutes jogged and y represent the number of minutes that he ride his bike.

Jack jogs and rides his bike for a total of 75 minutes every day. hence:

x + y = 75   (1)

He rides his bike for 15 minutes longer than he jogs. hence:

y = x + 15

-x + y = 15    (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 45

Jack jogs for 30 minutes and he rides his bike for 45 minutes

Find out more on equation at: brainly.com/question/13763238

6 0
2 years ago
Read 2 more answers
If a stone is dropped from a height of 256 ​ft, then its height​ (in feet) above the ground is given by the function ​h(t)equals
Gemiola [76]

Answer:

For ​[0,4​] : -64

For ​[1,4​] : -80

For ​[3.9,4​] : -126.4

For ​[3.99,4​] : -127.84

For ​[3.999,4​] :  -127.984

Step-by-step explanation:

First we establish that we have the next function:

                                        h(t) = -16t² + 256

Now, to find the average rate of change we have to define the change in the output of the function and the change in the input of the function:

  Average rate of change = Change in the output / Change in the input

Which in this case will be represented by:

                        Average rate of change = h(t2) - h(t1) / t2 - t1

So now we resolve the function for each time interval and calculare the average rate of change:

For ​[0,4​] :

h(0) = -16(0)² + 256 = 256

h(4) = -16(4)² + 256 = 0

Average rate of change = [0 - 256] / [4 - 0] = -64

For ​[1,4​] :

h(1) = -16(1)² + 256 = 240

h(4) = -16(4)² + 256 = 0

Average rate of change = [0 - 240] / [4 - 1] = -80

For ​[3.9,4​] :

h(3.9) = -16(3.9)² + 256 = 12.64

h(4) = -16(4)² + 256 = 0

Average rate of change = [0 - 12.64] / [4 - 3.9] = -126.4

For ​[3.99,4​] :

h(3.99) = -16(3.99)² + 256 = 1.2784

h(4) = -16(4)² + 256 = 0

Average rate of change = [0 - 1.2784] / [4 - 3.99] = -127.84

For ​[3.999,4​] :

h(3.999) = -16(3.999)² + 256 = 0.127984

h(4) = -16(4)² + 256 = 0

Average rate of change = [0 - 0.127984] / [4 - 3.999] = -127.984

4 0
3 years ago
Please include a picture too and don’t do random answer!!!!! Use the drawing tool(s) to form the correct answers on the provided
N76 [4]

Answer:

The graph is in the picture below. The correct amount of hours that it will take Beth and Jonathon to have walked the same distance is 1 3/8 miles.

8 0
3 years ago
Other questions:
  • What four factors were used to create this product game board 9,15,18,21,30,35,36,42,49
    5·2 answers
  • Nadine can send or receive a text message for $0.15 or get an unlimited number for $5.00. Write and solve an inequality to find
    9·1 answer
  • Please explain how it’s C?!
    7·1 answer
  • If m angle BGF=152 degrees, what is m angle AGF
    9·2 answers
  • This section of a page from a telephone directory shows a column of 11 names in 1 inch. Each page has four 10-inch columns. Writ
    10·1 answer
  • Alexa used her compass to evenly divide the circumference of the circle below.
    12·1 answer
  • .........help.......me.......please
    8·2 answers
  • The following are prices of selected digital cameras. $158, $95 ,$175, $180 ,$95,$129, $228, $300 Find the standard deviation.
    15·1 answer
  • PLEASE HELP QUICK GIVING BRAINLIEST NANSHHXHS HELLO
    15·2 answers
  • Select the correct answer.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!