Answer:
y= 1/3x + 3
Step-by-step explanation:
The diagonal of a square is 8 cm.
What is the length of the side of this square?
Give your answer as an exact surd in its simplest form
the length of the side of this square is [tex]4\sqrt{2} \:or \:5.65[/tex]cm
Answer:
Solutions Given:
let diagonal of square be AC: 8 cm
let each side be a.
As diagonal bisect square.
let it forms right angled triangle ABC .
Where diagonal AC is hypotenuse and a is their opposite side and base.
By using Pythagoras law
hypotenuse ²=opposite side²+base side²
8²=a²+a²
64=2a²
a²=[tex]\frac{64}{2}[/tex]
a²=32
doing square root on both side
[tex]\sqrt{a²}=\sqrt{32}[/tex]
a=±[tex]\sqrt{2*2*2*2*2}[/tex]
a=±2*2[tex]\sqrt{2}[/tex]
Since side of square is always positive so
a=4[tex]\sqrt{2}[/tex] or 5.65 cm
Answer:
Given :
↠ The diagonal of a square is 8 cm.
To Find :
↠ The length of the side of square.
Using Formula :
Here is the formula to find the side of square if diagonal is given :
[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]
Where :
➺ a = side of square ➺ d = diagonal of squareSolution :
Substituting the given value in the required formula :
[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]
Hence, the length of the side of square is 5.6 cm.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
HELPPP:$
Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week? True or false?
Answer:
not proportional
Step-by-step explanation:
because if you multiply 480×40=19200 and 300×25=7500
it is not the same
The earnings of Sal and Lidia will be equal to each other. So, yes their salaries are proportional.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Sal acquires $480 each week. Lidia acquires $300 each week. On the off chance that Sal works 40 hours out of every week and Lidia works 25 hours out of each week.
The earnings of Sal in each hour will be given as,
⇒ $480 / 40
⇒ $12 each hour
The earnings of Lidia in each hour will be given as,
⇒ $300/ 25
⇒ $12 each hour
The income of Sal and Lidia will be equivalent to one another. Along these lines, yes their compensations are corresponding.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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I will mark Brainliest if you help!!
Remainder of 52,259 divided by 215
Answer: 243, Reminder is 14
Step-by-step explanation:
52,259 / 215 = 243.065116
215 x 243 = 52,245
52,259 - 52,245 = 14
So the reminder is 14
The graph for the first equation of a system is shown in orange. The second equation is:
3y+30=6x
What is the solution to the system?
A. (2, –10)
B. (1, –8)
C. (–2, –14)
D.(2, –6)
Answer:
b
Step-by-step explanation:
Slope of the first one:
(-6-0)/(0--3) = -6/3 = -2
y = -2x - 6
3y + 30 = 6x
y + 10 = 2x
-2x - 6 + 10 = 2x
4 = 4x
x = 1
y = -2(1) - 6
y = -8
Help please
I provided screenshots of the problem below.
Answer:
This is the graph of a sine function
The y-intercept of the graph is the function value y=0
The smallest positive x-intercept of the graph is located at x=pi/2
The greatest value of y is y=2
For x between x=-pi and x=pi/2, the function value y=>0
Step-by-step explanation:
Solve the equation by finding the common multiple.
three fourths minus two sixths plus seven twenty fourths equals blank
seventeen twenty fourths
eighteen twenty fourths
nineteen twenty fourths
twenty twenty fourths
Answer:
1. 17/24
2. 1 1/8
3. 1 1/6
4. 1 5/24
5. 1. 1/4
Answer:
seventeen twenty fourths
Step-by-step explanation:
welcome
hey i need some help with this one.
Answer:
y = -2x - 8
Here's how I got that:
- You first assign the points -
(-8, 8) → x1 = -8, y1 = 8
(1, -10) → x2 = 1, y2 = -10
- Now you plug those points into slope formula and solve-
[tex]s=\frac{y2-y1}{x2-x1}[/tex]
↓
((-10) - 8)/(1 - (-8))
↓
-18/9
↓
slope = -2
- Now we plug the numbers we got into intercept formula -
b = y1 − s ⋅ x1
↓
8 - (-2) · (-8)
↓
y-intercept = -8
- Put everything together and you get.. -
y = -2x - 8
~That's all folks~
-Siascon
[tex]\text{Given that,}\\\\(x_1,y_1) = (-8,8) ~ \text{and}~ (x_2,y_2) = (1,-10)\\\\\text{Slope, m}= \dfrac{y_2- y_1}{x_2-x_1} = \dfrac{-10-8}{1+8} = -\dfrac{18}{9} =-2\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y = m(x-x_1)+y_1\\\\\implies y = -2(x+8) + 8\\\\\implies y = -2x -16 +8\\\\\implies y = -2x -8[/tex]
help pls !! i am confused
1.
2.
3.
4.
When you purchase a car in the future, what are at least 3 things
you will have to think about first?
Answer:
How much it cost!? Will it fly?! How far will it fly?!
Step-by-step explanation:
How to make the mark of degree on the calculator ??
Answer:
most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator
Given the points (4, 5) and (-2, 8), find the slope of the line that passes through the points.
Group of answer choices
9/6
-2/1
-1/2
1/2
Answer: c
Step-by-step explanation:
Formula of slope of line :
m=y2-y1/x2-x1
m=8-5/-2-4
=-3/6
m=-1/2
Please help! If possible please show your work. Thank you in advance!! :D
Answer:
(-4)³ = -64-64Step-by-step explanation:
The first step in solving the equation is to cube both sides:
(∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64
x = -64 . . . . . simplified
__
We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.
∛(-64) = -4 . . . true
Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.
So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.
On Saturday Kendra ran 2.721 kilometers. On Sunday she ran 1.79 kilometers. How much farther did she
run on Saturday than on Sunday?
Answer:
0.9km(rounded to 1dp)
Step-by-step explanation:
2.7km on sat
1.8km on sun
2.7km-1.8km=0.9km
how to rewrite 3/4 with the denominator 12
3. In a survey of 200 people about a bus company, 77 said they were satisfied with the bus
company's performance. What percent of the people were satisfied with the bus company's
performance?
O 23%
38.5%
061.5%
077%
The percentage of the people that were satisfied with the bus company's performance is: B. 38.5%
Given the following data:
Population = 200 peopleSatisfied people = 77 peopleTo determine the percentage of the people that were satisfied with the bus company's performance:
In this exercise, you're required to find the number of the people that were satisfied with the bus company's performance as a percentage of the total population in this survey.
Thus, we would use this formula:
[tex]Percentage = \frac{Satisfied\;people}{Population} \times 100[/tex]
Substituting the given parameters into the formula, we have;
[tex]Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}[/tex]
Percentage = 38.5%
Read more on percentage here: https://brainly.com/question/14432715
Does anyone know how to do this??
Answer:
y > 11/2
Step-by-step explanation:
This is solved the same way a 3-step equation is solved.
Step 1: subtract the smaller variable term from both sides.
4y -2y +3 > 2y -2y +14
2y +3 > 14
Step 2: subtract the constant with the variable term.
2y +3 -3 > 14 -3
2y > 11
Step 3: divide by the coefficient of the variable.
2y/2 > 11/2
y > 11/2
_____
Additional comment
By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.
Answer:
that is the answer hope it helps
Step-by-step explanation:
And don't forget to copy the solution
love:from Paddington
X
-9
-5
-1
3
Y
- 2
0
2
4
What is the slope of the line?
ok done. Thank to me :>
Elijah left his house at time zero and drove for 6 minutes to the store, at a speed of 1 blocks per minute. Then he stopped and went into the store for 6 minutes. From there, he drove in the same direction at a speed of 1 blocks per minute until he got to the bank, which is 3 blocks away from the store. He stopped at the bank for 7 minutes. Then he drove home at a speed of 3 blocks every minute. Make a graph of showing the number of blocks away from home that Elijah is xx minutes after he leaves his house, until he gets back home.
When plotting the graph, the times and distances Elijah drove are added
cumulatively on the horizontal and vertical axis of the graph.
Please find attached, the graph showing Elijah's distance from home in number of blocks, after he leaves his house.Reasons:
The distances travelled by Elijah in the given times are as follows;
[tex]\begin{tabular}{|c|cc|} \underline{Time}&&\underline{Blocks away from home}\\0&&0\\6&&6\\12&&6\\15&&9\\22&&9\\25&&0\end{array}\right][/tex]
Using the above table, a graph can be plotted with MS Excel insert Chart function, to plot a Scatter with Straight Lines and Markers chart.
Please find attached the required graph showing Elijah's distance driven in
number of blocks away from his house, in xx minutes after he leaves his
house, until he gets back home created with MS Excel.
Learn more about plotting graphs here:
https://brainly.com/question/371134
Answer:
the answer is 5 hours 6 minutes 2 seconds
Step-by-step explanation:
Select the situation that can be represented by 9 x 4.
a
Yuri and his family buy 9 loaves of white bread and 4 loaves of wheat bread.
b
Yuri and his family buy 9 loaves of bread. They give their neighbor 4 loaves.
c
Yuri and his family eat 9 loaves of bread each week for 4 weeks.
d
Yuri and his family eat 9 slices of bread on Monday and 4 slices on Tuesday.
Answer:
C is the answer because it makes the most sense
Multiplying radicals. Simplify
Answer:
[tex]\sqrt[9]{10}[/tex]
Step-by-step explanation:
When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:
1. [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90
2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:
1 * 902* 453 * 305 * 186 * 159 * 10You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.
3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.
The shape on the left is transformed on the right.Which of the statements describes the transformation.
Answer:
yall werid
Step-by-step explanation:
How many match sticks will be in the 8th picture?
A system of equations is shown: 2x = â’y 6 â’4x 3y = 8 What is the solution to this system of equations? (â’1, â’4) (1, 4) (4, 1) (â’4, â’1).
The correct option is B. (1,4).
Given equations,
[tex]2x=-y+6....(1)\\-4x+3y=8....(2)[/tex]
We have to find the solution of the given system of equations.
Equation 2 can be written as,
[tex]-2\times(2x)+3y=8\\[/tex]
Now by substitution method, putting the value of [tex]2x[/tex] from Equation (1) in above equation, we get
[tex]-2\times(-y+6)+3y=8\\2y-12+3y=8\\5y-12=8\\5y=20\\y=4[/tex]
Now putting the value of y in equation 1 we get,
[tex]2x=-4+6\\2x=2\\x=1[/tex]
Hence the solution of the given system of equation will be (1,4).
For more details follow the link:
https://brainly.com/question/12824145
Divya glued a ribbon around a clipboard. The clipboard is 9 inches wide and 11 inches tall. What is the length of ribbon used and the area of the clipboard?
Based on the dimensions of the clipboard, the length of the ribbon is 40 inches and the area of the clipboard is 99 inches ².
The ribbon goes around the clipboard which means that its length is the clipboard's perimeter which is calculated as:
= 2 x length + 2 x Width
= 2 x 9 + 2 x 11
= 18 + 22
= 40 inches
The area of the clipboard will be:
= Length x Width
= 9 x 11
= 99 inches ²
In conclusion, the length is 40 inches and the area is 99 inches²
Find out more about area at https://brainly.com/question/16997207.
Can someone please answer it, please no bots answer it and a real person I will give you brainliest.
Answer:
1. 1y + 13.5x
2.12x + 40y
Sam's car = 202.5 ft
Alice's car = 184 ft
Step-by-step explanation:
(b) Part B
How many solutions does the following the system of equations have?
Answer:
Its C.
Step-by-step explanation
:Took the test
Thank you will give thanks + more + brainliest!!!!
Given the system of linear equations:
{x+6y=6 y= 1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answer:
You must graph this on a graphing site
Step-by-step explanation:
Use one from enternet and type in the equation!!
x^2-x+2=0
Please use the quadratic formula
Answer:
[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]
Step-by-step explanation:
[tex]\sf x^2-x+2=0[/tex]
Use quadratic formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\sf a=1, b=-1, c=2[/tex]
___________________________
[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]
[tex]\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}[/tex][tex]\sf =\sqrt{-7}[/tex]_________________
[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]
[tex]\sf -(-1)=1[/tex][tex]2\times 1=2[/tex][tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]
_______________________________________
Learn more: brainly.com/question/22286698
EASY QUESTION! GET EASY POINTS!
if i paid $3.50 a month, how much would i pay a year?
EASY BRAINLIEST!
yw:)
Therefore, you will pay $42 after a year.
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]
Answer:
42
Step-by-step explanation:
3.5*12=42
Yaniq has these two spinners
Answer it all right NO wrong
Answer:
b should be 2/11
c should be 2/11 as well
Step-by-step explanation:
Used The Graph info
total spins 11
both are 2over9
Step-by-step explanation:
9 results 2 only