the side length of a square can be expressed as 2x+3. If the area of the square is 121 square meters, what is the value of x?

Answers

Answer 1

Answer:

x=4

Step-by-step explanation:

(2x+3)^2=121

2x+3=square root of 121

2x+3=11

2x=11-3

2x=8

x=4

(in a square all sides are equal therefore area =length ×width where length and width=2x+3)


Related Questions

Use absolute value to express the distance between 8 and -5

Answers

Answer:

The distance between points 8 and -5 is 13

Step-by-step explanation:

We need to find distance between points 8 and -5

The formula used to find the distance is: [tex]Distance=|b-a|[/tex]

Absolute value is used to get only positive values. i.e |-1|=1 if required.

We are given: b=8 and a=-5

Putting values and finding distance

[tex]Distance=|b-a|\\Distance=|8-(-5)|\\Distance=|8+5|\\Dstance=|13|\\Distance=13[/tex]

So, the distance between points 8 and -5 is 13

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Answers

Answer:

$52.50

Step-by-step explanation:

Set up the ratio:

[tex]\frac{24.50}{7}[/tex]

Simplify in order to find the cost per gallon.

The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.

Now you have this left:

[tex]\frac{3.50}{1}[/tex]

Multiply the denominator by 15 since Robert needs 15 gallons.

Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.

Now you have this left:

[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]

Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.

ANSWER ASAP
Which equation represents the linear function that is shown on the graph below?
y = 1/2x + 4
y = 1/2x-2
y= 4x -2
y= -2x +4

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning,
2. Write an equation for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.

Answers

Answer:

Did you ever get the answers??

The equation of the line is y = 2x - 2.

What is the point-slope form of a line?

If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).

The graph of the line is given.

(1)

The line passes through points (2,2) and (6,10).

The slope of the line is:

m = (10 - 2)/(6 - 2)

m = 8/4

m = 2

(2)

The equation of the line with a slope of m =2 and passes through (2,2) is:

y - 2 = 2(x - 2)

y = 2x - 4 + 2

y = 2x - 2         (1)

(3)

The line passes through points (4,b) and (a,8), therefore, from equation (1):

b = 2(4) - 2

b = 6, and

8 = 2a - 2

2a = 10

a = 5

(4)

Substitute x = 0 into equation (1):

y = 2(0) - 2

y = -2

Hence, the equation of the line is y = 2x - 2.

Learn more about the point-slope form of a line:

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BRAINLIEST ON THE LINE INFO IN PHOTO BELOW

Answers

Answer:

32 days is my final answer

Step-by-step explanation:

***Answer when you can!***

Evaluate functions from their graph

g(-4)=??

Answers

Answer:

1

Step-by-step explanation:

That is the y coordinate when x is -4
I’m pretty sure the answer is -4 grams :)

Write a equation in slope-intercept form of the line that passes though (-5,19) and (5,13)

Answers

Answer:

y= -3/5x + 16

Step-by-step explanation:

slope intercept form: y=mx+b

1. Find the slope: rise over run so 13-19/ 5-(-5) = -3/5

M=-3.5

2. Find the y - intercept by using the point slope form: b= 16

So, y= -3/5x + 16

Hope this helps :)

Pls show work or at least explain its essy but i need help

Answers

Answer: I think its D

Step-by-step explanation: If im right plz give brainliest

2. How can the trend line equation be used to

predict the cost of gas per gallon in the year

1992?

a. Substitute 92 for x in the equation.

b. Substitute 92 for y in the equation.

c. Substitute 22 for x in the equation.

d. Substitute 22 for y in the equation.

Answers

Answer:

c. Substitute 22 for x in the equation.

Step-by-step explanation:

The scatter plot of this question is missing, so i have attached it.

The slope equation of this is written as;

y = mx + b

Where;

y is the values in the y-axis

x is the values in the x-axis

b is the intercept on the x-axis

Now, from the scatter plot of the trend line, we can see that the values in the x-axis represent the number of years after 1970 while the y-axis shows us the price of gas per gallon for each corresponding year.

Now, we want to use the trend line equation be used to predict the cost of gas per gallon in the year 1992.

Year 1992 means 22 years after 1992. Since we have our y-intercept from the scatter plot to be 0.25, then to find the cost of gas per gallon in the year 1992, we will just plug in 22 for x and 0.25 for b into the slope line equation.

Answer:

C

Step-by-step explanation:

I know

Which graph represents the solution set for the quadratic inequality x^2 + 2x + 1 > 0?


Answers

Answer:

The answer you selected is correct.

Step-by-step explanation:

The answer has to be greater than 0 so the bottom graph is correct.

The graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The quadratic inequality is x^2 + 2x + 1 > 0

[tex]x^2 + 2x + 1 > 0[/tex]

⇒ [tex](x+1)(x+1) > 0[/tex]

Plot this function on the graph as shown below.

From the graph, the function extends in both positive and negative direction at x = -1.

On number line, we can denote it as x = -1 and extends up to infinity on both sides.

Hence we can conclude that the graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.

Learn more about inequalities here

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If f(x)=4x-16andtheDomainis{-2,-1,0,3,6},findtheRange of the function. Show all work.

Answers

Answer:

R={-24,-20, -16, -4, 8}

Step-by-step explanation:

f(x)=4x-16

f(-2)=4(-2)-16

f(-2)=-8-16

f(-2)=-24

f(x)=4x-16

f(-1)=4(-1)-16

f(-1)=-4-16

f(-1)=-20

f(x)=4x-16

f(0)=4(0)-16

f(0)=0-16

f(0)=-16

f(x)=4x-16

f(3)=4(3)-16

f(3)=12-16

f(3)=-4

f(x)=4x-16

f(6)=4(6)-16

f(6)=24-16

f(6)=8

HELP ASAPPPPP 5 POINTSSSSS

Answers

Answer:450

Step-by-step explanation:

first subctract then add

Answer:

The answer is C. The vertex is (-1,-12)

Step-by-step explanation:

Is this relation a function? Explain.

Answers

Answer:

No

Step-by-step explanation:

3 and 4 cannot both equal A since 3 doesn't =4

Answer:

yes if the numbers are the x variable, no if the numbers are y variable

Step-by-step explanation:

James has 30 candies. How many kids (including James) can share these candies evenly? It has to be multiple things, I think.

Answers

Answer:

So if James has 30 candy it would be best to do it in multiple ways in my opinion, so basically you can divide it among 3 kids including James where the kids get 10 each or you can divide it among 6 kids (still including James) and they all get 5 pieces of candy! Hope this helps and stay safe :)

Step-by-step explanation:

Possible Answers:

14 kids and james- 2 candies each

9 kids and james- 3 candies each

1 kid and james -  15 candies each

4 kids and james - 6 candies each

2 kids and james - 10 candies each

There might be more, but those are the ones at the top of my head

I hope this helped, please mark Brainliest, thank you!! :)

Determine which of following table is NOT a function.

Answers

Answer: C

Step-by-step explanation:

C beacause one X cannot have two different Y values

The perimeter of a rectangle is 36 cm. The length is 10 cm longer than the
width. What are the length and width of the rectangle?

Answers

Answer:

Below

Step-by-step explanation:

X(x+10)=36

x= -5+sqrt 61 or-5-sqrt 61

since only the first one bigger than0, x is -5+sqrt61 and other side is sqrt61+5

Parallel lines m and n are intersected by transversal t. The measure of angle 1 in the diagram below is 112 degrees.
Which of the following angles also measure 112 degrees? select ALL that apply
A. Angle 2
B. Angle 3
C. Angle 4
D. Angle 5
E. Angle 6
F. Angle 7

Answers

Answer:

Step-by-step explanation:

The answer will be c if not then a

The value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Supplementary angles are the angles having a sum of 180 degrees.

∠1 + ∠4 = 180

112 + ∠4 = 180

∠4 = 180 -112= 68°

Vertically opposite angles are always equal.

∠4 = ∠2

∠2 = 68

Vertically opposite angles are always equal.

∠1 = ∠3

∠3 = 112°

Therefore, the value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.

To know more about lines and angles follow

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can someone please help me​

Answers

Answer:

6x^2 +7x-20

Step-by-step explanation:

Answer:

6x^2 + 7x - 20

Step-by-step explanation:

First Terms: 2x * 3x = 6x^2

Out Side: 2x * -4 = -8x

Inside: 5*3x = 15x

Last:  5* - 4 = - 20

Answer: 6x^2 - 8x + 15x - 20

Answer: 6x^2 + 7x - 20

Shawn said that in standard notation,
7.142 x 107 will have 7 zeros after the
2 because the exponent is a 7. Is he
correct? Why or why not?

Answers

Answer:

This is incorrect.  

Step-by-step explanation:

You move the decimal 7 places to the right after the 7.  Since 2 is the third digit, you're adding 4 more zeros.


Write the equation of the line in point slope form.
(10 Points)

Answers

Answer:

y=-1/4(x-4)+3

Step-by-step explanation:

work is in the picture

Please can u help me

Answers

Answer: p=8

Step-by-step explanation:

FH ≅ FJ --> diagonals bisect in parallelograms--> rectangle is a form of a parallelogram 4p-22 = p+2 --> Transitivity p = 8 --> Algebra

what is the slope of the line that passes through the points (7, -5) and (10, -7.5)?

A:
[tex] \frac{5}{6} [/tex]


B:
[tex] \frac{6}{5} [/tex]


C:
[tex] - \frac{5}{6} [/tex]
D:
[tex] - \frac{6}{5} [/tex]

Answers

Answer:

C. [tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

just use the equation [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] So our first point (7,-5) will be [tex]x_1=7,y_1=-5[/tex]and our second point (10, -7.5) will be [tex]x_2=10,y_2=-7.5[/tex] Then substitute[tex]slope=\frac{(-7.5)-(-5)}{(10)-(7)}=\frac{-2.5}{3}=-\frac{5}{6}[/tex]

The ratio of commercial time to television program time is 13 minutes to 47 minutes. How many minutes of commercial time in a two-hour television show?

Answers

Answer:

26 minutes

Step-by-step explanation:

13:47=1 hour

Multiply by 2

26:94= 2 hours

C-17 = 19
Hi please help

Answers

Answer:

C=36

Step-by-step explanation:

C-17=19

C=19+17

C=36

3/8 + 1/8 - 2/7 + 1/4

Answers

Answer:

0.46428571428

Step-by-step explanation:

Answer:

13/28

Step-by-step explanation:

3/8 + 1/8 = 4/8 = 1/2 = 0.5

1/2 - 2/7 = 3/14 = 0.214285714286

3/14 + 1/4 = 13/28 = 0.464285714286

13/28 or 0.464285714286

Hope this helps! <3

Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars. p = 1.25n - 475 How many candy bars must be sold to make a profit of $950?

Answers

Answer:

380 candy bars

Step-by-step explanation:

Step one:

we are told that the expression for profit is

[tex]p = 1.25n - 475[/tex]-----------------1

the above equation represents the situation

given

profit is  $950

Required

n=number of bars

950=1.25n-475

collect like terms

950-475=1.25n

475=1.25n

divide both sides by 1.25

n=475/1.25

n= 380candy bars

-3x - 5y = -15
-3 - 3y = -3

Answers

Answer:

1) x = -y + 5

  y = - 3/5x + 3

2) y = 0

Step-by-step explanation:

The First-person to get correct will get BRAINLESIT

I think of a number, multiply it by four, and subtract three. I get eleven. a) Using the statement above, form an equation. Use the letter 'x' for the unknown number.
b) Solve the equation

Answers

The answer is X=3.5. 4 times 3.5 is 14-3 you get 11

A table showing Number, Value, and Total Value. The first row shows Nickels, with the entries, n, 0.05, and 0.05 n. The second row shows Quarters, with the entries 36 minus n, 0.25, and 0.25 left-parenthesis 36 minus n right-parenthesis. The last row has Total, with the entries 36, blank, 6.
Alexandra has 36 coins valued at $6.00. She has only nickels and quarters. Which equation can be used to solve for the number of nickels, n?

0.05n + 0.25(36 – n) = 6
0.05n + 0.25(36 – n) = 36
n + 0.05 = 0.05n
n + (36 – n) = 36

Answers

Answer:

a- 0.05n + 0.25(36 – n) = 6

Step-by-step explanation:

i just did it on edg

The value of each coin (Nickels and Quarters) determines their number in a money sum

The correct option that gives the equation that can be used to solve for the number of nickels, n, is option;

0.05·n + 0.25·(36 - n) = 6

Reason:

The given equation can be presented as follows;

[tex]\begin{array}{|c|c|c|c|}&\mathbf{Number}&\mathbf{Value}&\mathbf{Total \ value}\\&&&\\Nickels&n&0.05&0.05 \cdot n\\Quarters&36 - n&0.25 & 0.25 \cdot(36 - n)\\&&&\\\mathbf{Total}&36&&6\end{array}\right][/tex]

From the above table, we have;

0.05·n + 0.25·(36 - n) = 6

Solving the above equation gives;

0.05·n + 9 - 0.25·n = 6

-0.2·n = 6 - 9 = -3

[tex]n = \dfrac{3}{0.2} = 15[/tex]

Therefore;

The equation that can be used to solve for the number of nickels, n, is; 0.05·n + 0.25·(36 - n) = 6

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Please help I am being timed!


Solve
7k – 8 = 28 + 24k

A. -2 2/17
B. -2
C. -1 5/31
D. 1 3/17

Sorry if this is easy I'm bad at math

Answers

The answer is A -2 2/17
I am pretty sure is A
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