The perimeters of the
square and the rectangle
below are the same. Write
and solve an equation to find
the value of x.
Answers
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Find the side length of the square. The formula is for area is
[tex]a = {s}^{2} [/tex]
So take the square root to find the side length.
[tex] \sqrt{121} = \sqrt{ {s}^{2} } [/tex]
[tex]s = 11[/tex]
Now find the perimeter of the square.
[tex]11 \times 4 = 44[/tex]
setup the equation to solve for x. The left side is the perimeter of the rectangle and the right is the perimeter of the square.
[tex]3x + 3x + x - 2 + x - 2 = 44[/tex]
Collect like terms
[tex]8x - 4 = 44[/tex]
subtract 4 from both side
[tex]8x = 40[/tex]
divide both side by 8
[tex]x = 5[/tex]
Related Questions
How to find perimeter with equations
I attached a pic of the problem I’m really struggling with, if I could get a step by step explanation of how to do it that would be great. Thanks so much
Answers
Step-by-step explanation:
In blue colour square
Perimeter= 4 × side
= 4 (3x +7)
=12x +28 unit
In green colour square
Perimeter= 4 × side
= 4 ( 5x+1)
= 20x +4 unit
Answer:
12x + 28 = p
20x + 4 = p
Step-by-step explanation:
Assuming that both shapes are square, the perimeter of a square is the equation:
4 * x = p
Where x is the length of one side. Plug the variables in for the first square:
4 * (3x + 7) = p
Expand the brackets:
4 * 3x = 12x
4 * 7 = 28
12x + 28 = p
For the second square, plug the variables in again:
4 * (5x + 1) = p
Expand the brackets:
4 * 5x = 20x
4 * 1 = 4
20x + 4 = p
Hope this helps!
The endpoint coordinates of AB are A(2, -10) & B(12, 5). Find the coordinates of the point that is 2/5 from A to B.
Answers
Step-by-step explanation:
Find the distance between points A and B by the formula:[tex]\large \boldsymbol {\sf D=\sqrt{(x_1-x_2)^2+(y_1+y_2)^2} }[/tex] [tex]\large \boldsymbol{} \sf D=\sqrt{(2-12)^2+(-10-5)^2} =\sqrt{100+225} =\boldsymbol {\sqrt{325}=5\sqrt{13} }[/tex] By the condition we are told to find 2/5 the distance between points A and B [tex]\sf \large \boldsymbol {} \dfrac{2}{5} \cdot D=5\sqrt{13} \cdot \dfrac{2}{5} =\boxed{\sf 2\sqrt{13}}[/tex] We can also find the distance between them through the Pythagorean theorem we will complete a right triangle AB²=AC²+BC² AB=√AC²+BC² Where AC=10 ; BC=15 AB=[tex]\boldsymbol {\sf \sqrt{15^2+10^2}=\sqrt{325}=5\sqrt{13} }[/tex] Then 2/5* AB=2[tex]\sqrt{13}[/tex]HELP WILL GIVE BRAINLIEST
Answers
Answer:
the scale factor is 1/2
x=2.5
y=6.5
which of these numbers is a perfect square
10,50,81,20
Answers
Answer:
81
Step-by-step explanation:
What is the missing value?
Answers
Answer:
15
Step-by-step explanation:
The pattern is times 3.
21 ÷ 7 = 3
27 ÷ 9 = 3
To solve this, do 5 x 3.
Therefore, 15 would be your answer.
-kiniwih426
4 lbs 7 oz; oz
conversions ratios thing
Answers
Answer:
4 lb 7 oz = 71 oz
Step-by-step explanation:
Do you need to convert 4 lb 7 oz into oz?
If so, do the following.
Obviously, 7 oz is already in oz, so all you need to do is convert 4 lb into oz and then add 7 oz.
1 lb = 16 oz
For every lb, there are 16 oz. To convert lb to oz, multiply the number of lb by 16.
4 lb = 4 * 16 oz = 64 oz
4 lb 7 oz = 4 lb + 7 oz = 64 oz + 7 oz = 71 oz
what is the answer for this 30≤x≤60.
Answers
Step-by-step explanation:
if you want it on a number line put a closed circle around the 30 and draw the line till 60 and put a closed circle.
How to solve linear equation
Answers
You can use elimination and substitution method
EXAMPLE :
Given :
2x + y = 5
3x - 5y = 1
2x + y = 5 (× -5)
3x - 5y = 1
__________
-10x - 5y = - 25
3x - 5y = 1
____________ _ (elimination)
-13x = - 26
x = - 26/-13
x = 2
Substitution x = 2 to 2x + y = 5 :
2x + y = 5
2(2) + y = 5
4 + y = 5
y = 5 - 4
y = 1
13- (x + 6) = 4x - 3
Answers
Step-by-step explanation:
13 - (x + 6) = 4x - 3
13 -x -6 = 4x - 3
Group like terms
13 - 6 + 3 = 4x + x
13 - 3 = 5x
10 = 5x
Divide both sides by 5
10/5 = 5x/5
2 = x
Therefore, x is equal to 2.
Hope it helps. Please mark as brainliest.
Which function represents the graph
Answers
Answer:
A
Step-by-step explanation:
the function is moved up by 8 on the y axis which means you need a +8 that isn't directly attached to the x
2. A baseball game has a total of 9 innings. In each inning, there are 2 teams that each have
to make 3 outs in order for the inning to be complete. Which statement is true?
9
A. Each out is of all the outs in a 9-inning baseball game.
B. Each out is of all the outs in a 9-inning baseball game.
C. Each out is of all the outs in a 9-inning baseball game.
27
D. Each out is
of all the outs in a 9-inning baseball game.
18
Answers
Using proportions, it is found that each out is [tex]\frac{1}{54}[/tex] of all the outs in a 9-inning baseball game.
Supposing a 9-inning baseball game, each team has the right to 27 outs.
Two teams, thus, there are [tex]2 \times 27 = 54[/tex] outs.
This means that each out in a game [tex]\frac{1}{54}[/tex] of all the outs in a 9-inning baseball game.
A similar problem is given at https://brainly.com/question/24342347
which of the following best describes a sequence?
A.a linear equation
B.a list of numbers
C.a procedure for getting the answer
D.events that happen in definite order
Answers
Answer:
b.a list of numbers
Step-by-step explanation:
bbbbbbbbbbbbbbbbbb
Use the Distributive Property to write an equivalent expression for 21x+7
Answers
Answer: 7(3x+1)
Step-by-step explanation:
there is a common factor of 7 in both 21 and 7. therefore you can take a 7 out of the equation to get 7(3x+1)
extra: 7 times 3x = 21x and 7 times 1 = 7. this is how you verify your answer is correct.
Given the function f(x)=8-3x. Solve f(-2)
A. -14
B. 14
C. -2
D. 2
Answers
Answer:
14, which is B.
Step-by-step explanation:
Plug in -2 in your function.
f(-2) = 8-3(-2)
= 8 - (-6)
= 8 + 6 = 14
Multiples of 18 less than or equal to 216
Answers
which equation best repersents the line graphed above ?
Answers
Answer:
x = -4
Step-by-step explanation:
The line intersects the x-axis at -4.
Answer:
x= -4
Step-by-step explanation:
Is 53.7. 104 written in scientific
notation? Why or why not?
Answers
Assuming the expression is [tex]53.7 * 10^{4}[/tex].
Answer:
No
Step-by-step explanation:
Scientific notation is where a number is written in the form [tex]a*10^{b}[/tex] where [tex]a[/tex] and [tex]b[/tex] are integers AND [tex]1<=a<10[/tex].
In our expression, [tex]53.7>=10[/tex], so it doesn't satisfy the requirements of scientific notation.
So, the answer is [tex]\boxed{no}[/tex], it's not written in scientific notation.
At the start of his work day, Mr. Eriksen had 20 boxes of light bulbs tested and ready to be shipped. On average, he can test 40 boxes of light bulbs each hour. Of the 40 boxes tested each hour, he sets aside 5 boxes for retesting. The remaining boxes are marked as ready to be shipped.
A: Mr. Eriksen's situation can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these values represent in terms of the situation.
B: Write an equation in slope-intercept form to represent the situation. Use x for the independent variable and y for the dependent variable. Identify what both variables represent.
Answers
Answer:
See belowStep-by-step explanation:
Initial value is 20 as there are already 20 boxes ready for shipment.
Each hour 40 - 5 = 35 boxes are ready for shipment
The linear function for this case is:
y = 35x + 2035 is the slope or rate of change, 20 is the y-intercept.
y- the number of boxes ready for shipment after x hours.
what is the approximate value for 683 divided by 22
Answers
Answer:
31.04
Step-by-step explanation:
what is seven and nine tenths in standard form
Answers
Answer:
0.9 that is how you write nine-tenths in standard form
The ______ is the number that is being repeated as a factor.
Answers
a 12-pack of orange crush is priced at 3.00 a six-pack is priced at 1.75. which is the better value
Answers
Answer:
12 pack
Step-by-step explanation:
buying 2 of the 6 packs cost 3.50 while the 12 pack cost 3.00
what is the function of f(x)=5•2^x
Answers
Answer:
I have the answer to the problem just not in words, but if you wanna listen to my opinion, I would say Linear
How do you solve the problems no links if it is wrong I know
Answers
Answer: 350
Step-by-step explanation:
You can see how each number is multiplied by 7. You can take 50x7 to now get 350
Last night 30cm of snow fell in 6 hours. If it continues snowing at the
same rate, how long will it take for 45cm of snow to fall?
Answers
Answer: 9 hrs for 45cm of snow to fall
Step-by-step
If 30cm = 6 hrs
Then divide 30/6 to get the unit rate of the amount of snow per hr
Which is 5/1
So 5cm per hr
Then add 30+5+5+5 to get 45
And since we know 5cm equal 1 hr
Add the original amount of hours which is 6 plus 3 ones
Which is 6+1+1+1
In total, it will take 9 hrs for 45cm of snow to fall.
Plz help me I’m almost done
Answers
Answer:
The answer is B because x = 4 so 12x4-3=45
Answer:
[tex]15x + 12x - 3 + 75 = 180 \\ 27x = 180 - 75 + 3 = 108 \\ x = 108 \div 27 = 4 \\ a = 12x - 3 = 12 \times 4 - 3 = 48 - 3 = 45[/tex]
Identify the initial condition in the table.
Answers
Answer:
i had the answer but lost it ill look into more for u
Step-by-step explanation:
The given table can be represented as :
y = -xAnd here, initial condition is 0
Expand and simplify:
(x - 3)(x - 1)
Answers
(x*x) (x*1) (-3*-1) (-3*x)
x^2 + x + 3 -3x
Answer: x^2-2x+3
Bia tem 1230 reais, ganhou mais 500 reais, com quantos reais ela ficou?
Answers
Answer:
Bia ficará com 1730 reais.
Step-by-step explanation:
1230+700=1730
please help me
no random links pls
15 points
Answers
To find the slope you subtract y2-y1 over x2-x1
Which would be
17-9/2-4 = -8/2
And simplified is -4
Perhaps the photo has cropped info ?