Find the length of the shortest side ( rounded to 2DP) if the area of the rectangle is 28m^2
Answers
Answer:
4.39 to 2DP.
Step-by-step explanation:
x * (x - 2) = 28
x^2 - 2x = 28
Solving by completing the square:
(x - 1)^2 - 1 = 28
(x - 1)^2 = 29
x = +/-√29 + 1
x = 6.38516, -4.38516
x must be positive so it = 6.38516.
The shortest side = x - 2 = 4.385.
Related Questions
if John had 1/10 of a pizza, and wanted to between 8
friends , how much would each person get?
I’m not good at math and I need this so please help me
Answers
Answer:
If there are 10 slices and he wants to split between 8 friends and himself. Each friend would get a slice and there would be one remaining.
Step-by-step explanation:
A recipe requires 7/8 stick of butter for each 1 1/4 cups of flour. Find the unit rate of sticks of butter to cups of flour.
Answers
Answer:
Let R = unit rate
R = (7/8) ÷ 1_1/4
R = (7/8) ÷ (5/4)
R = (7/8) • (4/5)
R = (7/2) • (1/5)
R = 7/10
Step-by-step explanation:
The data in this table represents a linear function.
What is the slope of this line?
27
13
3
72
x y
2 7
5 16
7 22
9 28
Answers
The equation of a line is given by:
y = mx + c
Where m is the slope.
Slope = (d - b) / (c - a)
Where (a, b) and (c, d) are the two points.
The slope of the linear function is 3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example: y = -3x - 4
Slope = -3 and y-intercept is -4.
We have,
A table that represents a linear function.
x y
2 7
5 16
7 22
9 28
We can have points such as:
(x, y) = (2, 7), (5, 16), (7, 22), and (9, 28)
We can select any two points and find the slope.
(2, 7) = (a, b)
(5, 16) = (c, d)
Slope:
= (d - b) / (c - a)
= 16 - 7 / 5 - 2
= 9 / 3
= 3
Slope = 3
Thus,
The slope of the linear function is 3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ5
Updated/Repost.
Given: 3x + 2y + 7 = 5x +3y +10
Prove: m = -2
(Hint: slope)
Answers
Answer:
3x + 2y = -2
Reason: This is because 3x + 2y = 10 for the variable y. 3x-10= 2y.
Since
_____________________________________________________
3x + 7 = -2
Reason: This is because 3x+10= 2y
_____________________________________________________
The price that a company charged for a computer accessory is given by the equation 100-10x2 where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories
produced yields approximately the same profit?
O 1.45 million
O 3.45 million
O 40 million
O 48 million
Answers
Answer: 1.45 million is your answer
Step-by-step explanation:
edge
The number of accessories produced that yields approximately the same profit as 2 million is 3.45 million. The correct option is B.
What is Revenue?
Revenue is defined as the money generated by normal business operations and is calculated by multiplying the average sales price by the number of items sold.
The profit (P) made by the company can be calculated as follows:
P = (Revenue) - (Costs)
Where Revenue = (Price per accessory) × (Number of accessories produced), and Costs = (Cost per accessory) × (Number of accessories produced).
So, using the given information, we can write:
P = (100-10x^2) x - (10x)
where x is the number of accessories produced in millions.
We know that the company makes a profit of 100 million dollars when it produces 2 million accessories, so we can set P = 100 and x = 2, and solve for the constant of proportionality k:
100 = (100-10(2)^2)(2) - (10)(2) + k
k = 200
Now, we can set P ≈ 100 again and solve for x, using k = 200:
100 = (100-10x^2)x - (10x) + 200
0 = -10x^3 + 10x^2 + 10x + 100
0 = -x^3 + x^2 + x + 10
We can solve this equation using synthetic division or by using a graphing calculator, and we find that there is a root between x = 3 and x = 4.
Therefore, the number of accessories produced that yields approximately the same profit as 2 million is 3.45 million, which is option B.
For more details regarding revenue, visit:
https://brainly.com/question/8645356
#SPJ7
Which values represent solutions to the equation?
Tangent (StartFraction 3 pi Over 4 EndFraction minus 2 x) = negative where x Is an element of [0, Pi]
Answers
The solution set for the given expression is {0, π/2, π}.
Which values of x are solutions for the given expression?Here we have the expression:
[tex]tan(\frac{3\pi}{4} -2x) = -1[/tex]
First, we know that:
[tex]tan(\frac{3\pi}{4}) = -1[/tex]
So, if x = 0, the equation is true, which means that x = 0 is a solution.
And the tangent function as a period of pi.
This means that:
tan(x) = tan(x - π) = tan(x - 2*π) etc.
Then if x = π/2 and x = π also are solutions, so we conclude that the solution set is:
{0, π/2, π}
If you want to learn more about the tangent function:
https://brainly.com/question/6904750
#SPJ9
Veronica’s velocity was measured as 4.3 m/s. She displaced 20 meters in 4.7 seconds. Which piece of information is missing for the correct calculation of velocity?
A)the starting point
B)the direction
C)the end point
D)the time per meter
Answers
Answer: the direction
Answer:
B). the direction
Step-by-step explanation:
Edgen 2021
can someone use the Pythagorean theorem to solve these?!?!
I tried it yesterday and i didn't solve it correctly ;c
just read it and try to solve plzzzzzz ;c
Answers
Answer:
127.3
Step-by-step explanation:
90^2+90^2=16200
[tex]\sqrt{16200}[/tex]=127.2792206
127.3 to the nearest tenth
50 points!!! YO can someone solve this I don't get it ∴∞∧∞∴
xy=4
2x-y+2=0
Answers
y−3=−12(x+4) i need help
Answers
Answer:
if it's a slope x=12 if it's for find the value of x its y over 12 -17 over 4
Help!! Will give the almighty great crown
Answers
Answer:
G and D
Step-by-step explanation:
look closelyfind the coordinate linesgo seeWrite multiplication expression to represent the change in temperature after the plane ascends 10,000 feet .... Above it says there is a 1.3°F drop in temperature for every thousand feet that an airplane climbs into the sky the temperature on the ground is -2.8°F... part b says what will the temperature b when the plane reach's an altitude of 10,000 feet
Answers
Answer:
1.3°F * 10 = 13°F
10.2°F
Step-by-step explanation:
Given that:
Temperature on the ground = - 2.8°F
Change in temperature per 1000 ft rise = 1.3°F
Change in temperature after the plane ascends 10000 ft
Change in temperature per 1000ft rise * (10000/1000)
1.3°F * 10 = 13°F
B.) Temperature at 10,000 feets
Temperature on ground + change in temperature at 10,000ft
-2.8°F + 13°F
= 10.2°F
Write an equation of the line that passes through (3,8) and is perpendicular to the line y=5x-4
Answers
Then you substitute the new gradient and the point into the equation of a line
8=-0.2(3) +c
8=-0.6+c
8.6=c
After wards you substitute only the gradient and the y intercept in the line eq’n
Y=-0.2x+8.6
El producto de 5 por un numero al cuadrado?
Answers
Answer:
25
Step-by-step explanation:
5*2 =25
By what number should 81 be divided to get a perfect cube
Answers
Answer:
9, I think, I hope this is right
Answer:
3
Step-by-step explanation:
This is because 81/3 is 27 which is a perfect cube
Hope this helps you.
I NEED HELP DUE IN 2min pleaseeee
Answers
What are the solutions to the following equation? x^2+8x+15=0
Answers
Answer: It can be either one.
x=−3
or
x=−5
Solve the system of equations and choose the correct answer from the list of options.
d + e = 15
-d + e = -5
Label the ordered pair as (d, e).
O (0, 0)
O (10,-5)
O (5, 10)
O (10,5)
Answers
9514 1404 393
Answer:
d. (10, 5)
Step-by-step explanation:
Add the two equations, and you get ...
2e = 10
e = 5
Solve the first one for d and you have ...
d = 15 -e
d = 15 -5 = 10
So, the solution is ...
(d, e) = (10, 5) . . . . . matches the last choice
_____
Check
d + e = 10 + 5 = 15
-d + e = -10 +5 = -5
►
Find the difference. You may find using a number line to be helpful. Enter your answer as a simplified
mixed number.
Answers
Answer:
-2/9 - (-2) = -2 2/9 :)
Step-by-step explanation:
can someone please help me.
Answers
please help
c. (3,6)
d. (9,6)
Answers
Answer:
I believe that the answer is A. (-3,0)
Step-by-step explanation:
I reflected it over y=3 and that is what I got as an answer. Let me know if I am wrong.
(3x²y)2
How do you simplify?
Answers
Answer:
answer 6x^2 × 2y
Step-by-step explanation:
multiply 2 with the parentheses
Answer:
the answer is 6x²y.......
Read this word problem.
A guppy was swimming 8 feet below the surface of the river. It swam down 6 more feet
to escape a large, hungry fish. What is the position of the guppy now relative to the
surface?
To solve the problem, Jenna subtracted 8 - 6 and came up with an answer of 2 feet. Is Jenna
correct? Why or why not?
Answers
Answer:No because once the guppy swam down 8 feet below the surface of the river the 8 is now negative since the surface of the ocean is 0 and 0-8=-8 and then he swam down 6 feet more so we have to subtract-8-6= -14 feet so the position of the guppy is now -14 feet below sea level.
Step-by-step explanation:
Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10.
Write an equation to determine the distance in miles (x) between the airport and Ann's home
Find the distance between the airport and Ann's home.
Answers
Answer:
$2.10x + 5= $49.10
x=21
Step-by-step explanation:
the x is used for a variable that changes and in this case the mph changes which lead x being the amount of miles that they had drove which at the end ends up multi. with the $2.10 . as for the 5 it was an initial as in it doesn't change.
for the second part
you subtract 5 from each side so you have the total of 2.10x= 44.10 then u divide 2.10 from each side and that will give you x = 21
I'M GETTING GRADED ON THIS, PLEASE HELP!!!!
Analyze the function below. Then explain why the function is classified as even, odd, or neither.
Answers
Answer:
I'm reallly sorry if this is wrong, but I believe it is neither
Step-by-step explanation:
Odd and even functions need to exhibit some sort of reflection symmetry across the x axis (i think--we are learning this rn) and the graph does not seem to show this so i believe it is neither... i could be wrong thooughh
what is not a characteristic of point?
Answers
Answer:
A flat surface is not a characteristic point if I'm wrong sorry you should list the following.
Step-by-step explanation:
Suraj took a slice of pizza from the freezer and put it in the oven. The pizza was heated at a constant rate.
The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it (in minutes).
Time (minutes) Temperature (degrees Celsius)
444 252525
666 404040
888 555555
How long did it take the pizza to reach 100100100 degrees Celsius?
Answers
Answer:
The pizza was heated at a constant rate. The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it (in minutes). Time(Minutes) Temperature( degree .
Answer:
14 did it on khan
Step-by-step explanation:
proof:
A retail store is buying a 500 count for a device and another 200 count for another version of the same device that costs $100 less than the original. What is the maximum cost of the original device, given that the store did not go over the budget of $155,000?(1 point)
no more than $150
less than $250
less than $150
no more than $250
Answers
Answer less than 250
Step-by-step explanation:
Answer: no more than 250
Step-by-step explanation:
Write an equation of the perpendicular bisector of the segment with endpoints (4,0) and (2,-4) Write your equation in slope intercept form
Answers
Answer:
nsnsjsjsnsnznnznzznznz
A tire shop promotes its business using a large model of a tire on its roof. The
model tire uses a scale in which 2 feet represents 3 inches. The actual tire used
to create the model tire has a diameter of 33 inches.
What is the diameter of the model tire on the shop's roof
Help plz!!! I need the work shown
Answers
Answer:
Ok, so this tire is 2 feet which is represented by 3 inches.
So, since the tire has a diameter of 33 inches, we multiply 33 by 3
33 times 3 is 99.
The diameter of the motel tire on the shop's roof is 99 inches.
Step-by-step explanation: