The length of a side of a square is 4x – 1.
Express the area of the square in terms of x.

Answers

Answer 1

Answer:

16x^2 - 8x + 1

Step-by-step explanation:

1. The area of a square can be represented as s^2 or (s)(s), where s = side.

2. (Solving)

Step 1: Set up expression

[tex](4x-1)^2[/tex] [tex](4x-1)(4x-1)[/tex]

Step 2: Apply the FOIL method (first, outside, inside, last)

[tex](4x)(4x)+(4x)(-1)+(-1)(4x)+(-1)(-1)[/tex] [tex]16x^2 -4x -4x +1[/tex]

Step 3: Simplify.

[tex](16x^2)+(-4x-4x)+(1)[/tex] [tex]16x^2 -8x + 1[/tex]

Therefore, the area of the square in terms of x is 16x^2 - 8x + 1.


Related Questions

-2y=2 what is the solution of this equation

Answers

Answer:

wouldnt it be y=4?

Step-by-step explanation:

Find the measure of an angle whose complement is five times its measure.
The measure of the angle is?

Answers

Answer:

The measure of the unknown angle is 15°.

Step-by-step explanation:

Represent this angle by A.  Then the complement of A is 90° - A.

"Angle whose complement is five times its measure" would be expressed as

90° - A = 5A

Solve this for A by adding A to both sides:

90° = 6A.  Then A = 90°/6, or 15°

What system of linear inequalities is shown in the graph
Enter your answers into the boxes

Answers

Answer:

[tex]y < \frac{1}{3}x + 2\\y \leq -2x + 2[/tex]

Step-by-step explanation:

The equation of a line can be simply found via slope-intercept form-y = mx+b,

where m is the slope and b is the y-intercept.

how to solve

-3(m-2)= -9

Answers

Answer:

-3m+6=9

Step-by-step explanation:

-3m=3

Divide by -3

m=-1

Answer:

5

Step-by-step explanation:

expand: -3m - -6 = -9

-9 + -6 = -15

-3m = -15

-15 / -3 = 5

m = 5

I'm also stuck on this one! Help!

Answers

Answer:

a = 58

Step-by-step explanation:

90-32=58

HOPE THIS HELPS :)

9. The figure shows a rectangle with its length and
breadth as indicated. Given that the perimeter of
the rectangle is 120 cm, find the area of the rectangle.
(3x - y) cm
(2x – 3) cm
(2x + y) cm

Answers

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

3. what equation passes through the 2 points
(0, 4) and (9, 10)​

Answers

y2-y1
____ = slope

x2 - x 1




10-4
—— = 6/9 = 2/3
9-0

10 = 2/3 (9) + b
10 = 6 + b
b = 4

put it all together!

y=2/3x + 4

Last oneeeee HELPPP

Answers

76y = 19

Divide both sides by 76

y = 19/76

Simplify 19/76 by dividing by the GCF of 19 and 76, which is 19. 76 divided by 19 is 4.

y = 1/4

Hope this helps!! :)

May I please receive help?

Answers

Answer:

[tex]\frac{4}{9}[/tex]

[tex]-\frac{9}{4}[/tex]

Step-by-step explanation:

First, solve the equation for y to find the slope of the original line. When you solve for y you get [tex]y=-\frac{9}{4}x+2[/tex]. Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.

Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.

Parallel lines have the same slope. So, the slope is the exact same, -9/4.

I need help fast please ​

Answers

Answer:

i think 2nd one is true....f(-2)=g(-2)

Answer:

A is correct: [tex]f(0)=g(0)[/tex]

Step-by-step explanation:

To find this answer, we first must identify what [tex]f(x)[/tex] and [tex]g(x)[/tex] means.

[tex]f(x)[/tex] shows the y value of the line at the specified x value.

[tex]g(x)[/tex] shows the y value of the line at the specified x value.

So in order to solve this problem, we must look at each of the options and see which one is true.

If we take a look at the first option...

[tex]f(0)=-2[/tex] in this example and [tex]g(0)=-2[/tex] as well.

[tex]-2=-2[/tex] and therefore, option A is correct.

A composite shape is shown.

6 cm

4 cm

1 cm

2cm

7 cm

To the nearest hundredth, what is the area of the shape? Use 3. 14 as an approximation for 2. Enter the answer in the box.

1cm²

Answers

Hold on, our servers are swamped. Wait for your answer to fully load.        Step-by-step explanation:

Ayuda con esto vale 7.5% de la nota doy 15 puntos

Answers

Answer:

dagdagan mo hoy daya

Step-by-step explanation:

1733

What's the slope of this line?

Answers

my bad i read it wrong hold up

The slope should be -4/3

If Ashley deposits $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?

Answers

i have no idea AAAAAAAAAAAAAAA

If you deposit $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?

The formula for deducing Compounded Annual Growth rate, CAGR = {( EV / SV)^1 / n} - 1

where:

EV = Investment's ending value

SV = Investment's starting value

n = Number of investment periods (months, years, etc.)

If you rearrange the formula for deducing the time period required.

SV = $8000

EV= $12400

Total appreciation = (EV-SV)*100%/SV = 64.52%.

At CAGR of 7%, the time required for any value to appreciate 64.52% is 6 years and 6 months

Step-by-step explanation:

mark me brainly have a great day!!!!

Which line segments have a positive slope?

Answers

Answer:

CD and EF .....................

Ratios, Rates, and Circles Solve each problem. Show your work. Sierra has a pet Burmese python. It has grown too large for its enclosure and needs a new one. The rectangular base of the current enclosure has the length and width shown. Sierra decides to buy a larger enclosure that is a scale copy of the small one. The base of the new enclosure is 48 inches long. What is the perimeter of the new base?​

Answers

Answer:

144in

Step-by-step explanation:

METHOD 1:

18 - 36

x - 48

36x = 18 * 48

36x = 864

x = 24

ALTERNATIVE METHOD:

18:36 (breadth:length)

1:2

When the length is 48in, the breadth is half the length, hence, the breadth is 24in.

Final Solution:

So, when the base is 48in, the width is 24in.

Since we have the two values

P = 2(l+b)

= 2(48+24)

= 2 * 72

= 144in

Feel free to mark this as brainliest! :D

10, 17, 24, 31, 38
First term:
Common difference:

Answers

Answer:

7

Step-by-step explanation:

because if you add 10+7 17 17+7=24

First term: 10
Common difference: 7
17-10 = 7 24-17 = 7 so the common difference is 7

which of the following expressions is equal to -x^2-81

Answers

Answer: it is going to be answer a

PERSON WILL GET 50+ POINTS IF CORRECT

Answers

5 jars of jam and 3 packages of bread mix

a. If the average ticket price is $15
for a Chesapeake Bayhawks
game, what function T(x) shows
how the income from ticket sales
depends on the attendance at
each game?

Answers

Answer:

He had been in a hospital with friends since his birth

Find the value of 5w+1 given that 7w-7=7.

Answers

Answer:

lets find the exact value of w

7w - 7 = 7

+7        +7

7w = 14

/7     /7

w = 2

Now let's replace w with 2

5(2) + 1 = 11

Can y’all help me with this one too

Answers

Answer:

8 mm

Step-by-step explanation:

the total length of the rod is 330, it's asking how many individual Rods cut at the length 41 1/4 which in decimal form is 41.25,, 330/41.25 = 8. anytime a question asks you how many of something can be obtained at a length just divide from total !

The measures of the angles of a triangle are shown in the figure below. Solve for X.
75°
(7X+14)
49°

Answers

Answer:

Answer:x =6

Answer:x =6Step-by-step explanation:

Angle in a triangle is 180

75+ (7x+14) +49 =180

75+ 49+ (7x+14)= 180

124+ (7x+ 14) = 180

124+ 14 +7x= 180

138+7x = 180

7x =180- 138

7x=42

x= 6

1/4 divided by 8
PLEASE HELP
This is also in fractions my other ones got ban because I wasn’t obvious so here
PLEASE HELP IS NEEDED

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

0.03125

Step-by-step explanation:

just put in the calculator (1/4)/8 and your answer should be 0.03125!! hope I helped you!!!! :)

6 x ( 7 x 3 - 3^2) - 6
help me pleasee

Answers

Answer:

I think 66 is correct answer

Answer:

66

Step-by-step explanation:

Thank You! Please thank me. Also I answered your question "what is input/output of TV"

-10x + 35 + 5x=-5x + 20 (I need a step by step solving/ Show your work)

Answers

Answer: Answer in Photo

I NEED HELP ASAP NO LINKS !!!
Which expression represents this word phrase?
five more than the product of x and 6
6x + 5
5(x + 6)
(x + 6) + 5
5x + 6

Answers

Answer 6x+5

You would add 5 to 6x

The circumference C of a circle is found with the formula C=2(3.415)r​

Answers

Answer:

You are correct! :)

Extra tip:

It can also be written like 'C = 2πr' and that works just as well!

Answer:

circumference=2πr formula 2×22/7×r

Calculate the length between the following

points using the distance formula.


Help please

Answers

Answer:

S^2 = ((9 - (-3))^2 + ((3 - (-2))^2 = 12^2 + 5^2 = 169

S = (169)^1/2 = 13

If a line has slope -4/3 and passes through the point (-3, 7), what is the y-intercept of the
line?

Answers

Answer:

y- intercept = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{4}{3}[/tex] , then

y = - [tex]\frac{4}{3}[/tex] x + c

To find c substitute (- 3, 7 ) into the equation

7 = - [tex]\frac{4}{3}[/tex] (- 3) + c

7 = 4 + c ⇒ c = 7 - 4 = 3 ← y- intercept

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