Answer:
Step-by-step explanation:
Since the court yard is square in nature, the area of the court yard will be exprerssed as;
A = Length * Length
A(x) = L²
Given area of the court yard A(x) = x^2 - 22x + 121
x^2 - 22x + 121= L²
Factorizing the quadratic expression
(x^2 - 11x) -(11x+ 121) = L²
x(x-11)-11(x-11) = L²
(x-11)(x-11) = L²
(x-11)² = L²
Square root both sides to the length of the courtyard
√(x-11)² = √L²
L = x-11
Hence the length of the courtyard is (x-11)ft
b) The perimeter of the courtyard P = 4L
P = 4(x-11)
P = 4x - 44
Hence an expression for the perimeter of the courtyard is 4x-44 feet
Simplify (4x+5y)(2x-3y)+3xy
Answer:
2x+8y
Step-by-step explanation:
Answer: 8x^2 - 15^2 + xy
Step-by-step explanation:
expand brackets by multiplying
(4x+5y)(2x-3y)+3xy
8x^2 - 12xy + 10xy - 15y^2 + 3xy
collect like terms
8x^2 - 15y^2 -12xy + 10xy + 3xy
solve
-12xy + 10xy + 3xy
=1xy (note: when writing/typing the answer, don't add 1 in front of the xy.)
final answer: 8x^2 - 15y^2 + xy
What is the mean of the data set (3, 2, 2, 12, 6, 5, 14, 4]? O 2 O 4 O 6 O 7
Answer: 6
Step-by-step explanation:
{3, 2, 2, 12, 6, 5, 14, 4}
To find the mean,add everything up, the divide it by how many numbers you added up.
So, do :
3 + 2 + 2 + 12 + 6 + 5 + 14 + 4 = 48
Then, because you added 8 numbers together, you would divide 8 from 48.
48 ÷ 8 = 6
So, your mean is 6
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Answer:
a.
Step-by-step explanation:
Which of the following units is incommensurable with kilograms? A.pounds B.ounces C.tons D.gallons
Answer:
Gallons
Step-by-step explanation:
A gallon is a measurement of volume. The rest are all measurements, which are either SI units or measured in the US Customary system.
In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease. Smoking and alcohol consumption habits were recorded for all 3 groups. Is this an example of an observational study or experimental study
Answer:
It is an example of an observational study.
Step-by-step explanation:
The given number case is example of an observational study.
What is Observational study?Observational studies are ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it. Cohort studies and case control studies are two types of observational studies.
Given:
In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease.
Smoking and alcohol consumption habits were recorded for all 3 groups.
The above is somehow the example of research which requires an observation which does not change any data.
Learn more about observational study here:
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What is the value of w2 +3x +y -z when w = 3, x = 8, y = 2 and z = 5?
Answer:
32
you add everything together and put W X Y Z all pf those numbers where they belong!!
Good luck!!
Answer:
30
Step-by-step explanation:
w^2 +3x +y -z where w = 3, x = 8, y = 2 and z = 5
thus: (3^2) + 24 +2 - 5 = 30
how to expand a using the distributive law
Answer:
2x(3x+5)+1(3x+5)
Step-by-step explanation:
The distributive law is the law that states that multiplying a number by a group of numbers is the same as doing each multiplication separately. Eg. A(B+C) =AB+AC
In the case of two sets of parenthesis it would look like:
2x(3x+5)+1(3x+5)
Which would give us:
6x^2 +10x +3x+5
6x^2+13x+5
The general format for 2 bracket ones would be:
(A+B) (C+D) =A(C+D) +B(C+D)
where the two terms in the first bracket go outside the second bracket twice individually because each term must be multiplied by all terms in the other bracket.
Hope this helped!
Multiply. 4x2 (2x3 + x2 - 3) A. 8x6 + 4x4 + 12x2 B. 8x6 + 4x - 12x2 C. 8x5 + 4x4 - 12x2 D. 8x5 + 4x4 + 12x2
Answer:
[tex] \boxed{ \bold{\sf{ { \boxed{ \sf{8 {x}^{5} + 4 {x}^{4} - 12 {x}^{2} }}}}}}[/tex]
Option C is the correct option.
Step-by-step explanation:
[tex] \sf{4 {x}^{2} (2 {x}^{3} + {x}^{2} - 3})[/tex]
Distribute 4x through the parentheses.
[tex] \dashrightarrow{ \sf{4 {x}^{2} \times \: 2 {x}^{3} + 4 {x}^{2} \times {x}^{2} - 4 {x}^{2} \times 3}}[/tex]
[tex] \dashrightarrow{ \sf{8 {x}^{5} + 4 {x}^{4} - 12 {x}^{2} }}[/tex]
Hope I helped!
Best regards! :D
C is the correct option
Step-by-step explanation:
Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16
feet. Which of the following equations gives the heighty, in feet, of the tree after x years if the tree grows at
a constant rate? Check all of the boxes that apply.
y - 6 =3(x - 10)
y-16 = 3(x-9)
y = 3x - 11
y=-3x - 23
I'm not good in this but.....
x = years
9x-6x = 16-7
3x = 9
x = 3
That means the tree will grow three feet per year.
Calculate the area of the shaded region
Area of triangle = 1/2 x base x height:
Area of triangle = 1/2 x 14 x 5 = 35
Area of square = 2 x 2 = 4
Shaded area = 35-4 = 31 cm^2
Which would be the best name for a function that takes the time of day and returns the numbers of coffee sold at a coffee shop? Answer choices: Coffee(time) Time(coffee) Day(time) Time(shops)
Answer:
Coffee(time)
Step-by-step explanation:
A function's output variable will be:
output(input)
So we need to find the input variable and the output variable.
We know that when the time of day changes, we get a certain amount of coffee sold. This means that the amount of coffee sold is directly influenced by the time of day.
The time of day then becomes our input as the coffee sold relies on that number.
That leaves coffee sold as our output!
So the best name for a function in this scenario is Coffee(time).
Hope this helped!
reagan earned an 88% on her first test and a 80% on her second test. what is her average score?
Answer:84
Step-by-step explanation:88+80=168
168/2=84
help 9 - [{x - (7 + x)}
Answer:
2-2x?
Step-by-step explanation:
9 - [{x - (7 + x)}
9-(x-7-x)
9-2x-7
2-2x
is 0.375 irrational or rational
the square root of 26 as a whole number
Answer:
5
Step-by-step explanation:
5.0990195135928 there is no whole number
2 times the difference of 8 and 1?
Answer:
16
Step-by-step explanation:
8/1=8
8x2=16
True or False: Segment Y M is congruent to segment PW. GT Y BM PD W -10 -5 0 5 10 Select one: O True O False
Answer:
[tex]\huge\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
Length of YM = 1 - (-6) [This is it's endpoints]
YM = 1 + 7
YM = 8
Length of PW = 9 - 5 [Subtraction of endpoints to get the length]
PW = 4
So, Segment YM is not congruent to segment PW.
Pls help I need this ASAP
Answer:
m<2=35 M<3=55
Step-by-step explanation:
When looking at this problem the 4 and 2 angles are the same because of opposite side and then you just subtract 35 from 90 which gives you 3
Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive.
Answer:
each kid gets 9 pieces
Step-by-step explanation:
Which fraction is equivalent to 2/3
Answer:
2/3= 8/12
its simple had the same question in my homework
Answer:4/6, 6/9,8/12
Step-by-step explanation:You can get this by multiplying what ever number you want, as long as you do the same for the other number. Example, 2/3= 10/15, I just multiplied both sides with the same number.
wallpaper is sold in rolls that are 2 feet wide what is the minimum length you would need to purchase to cover the wall and 60 feet covers the wall
Answer:
28feetStep-by-step explanation:
Let the wallpaper be a rectangle
Area of a rectangle = Length * Width
A = LW
Perimeter P = 2L+2W
If the wallpaper is sold in rolls that are 2 feet wide, then the width is 2 feet, to get the length, substitute W = 2 and P = 60 into the formula for calculating the perimeter of a rectangle.
60 = 2L + 2(2)
60 = 2L + 4
2L = 60-4
2L = 56
L = 56/2
L = 28
The minimum length that will be purchased to cover the wall is 28 feet
2 people can make 2 bicycles in hours.How many people are needed to make 12 bicycles in 6 hours.
Answer:
12 people are needed to build 12 bikes in 6 hours
Can someone please help me with this problem? In the picture down below. WILL MARK BRAINLIEST!!!
Answer:d
Step-by-step explanation:
Answer: The answer would be D.
Step-by-step explanation: When you add 2 5/6 to 7/4, you get 55/12. Turn 55/12 into a mixed number, and you get 4 7/12.
The tables show linear functions representing the cost per hour to rent a bicycle and the cost per hour to rent in-line skates. Bicycle per Hour In-Line Skates per Hour Which function has the greater slope and what does it represent? The in-line skate function has the greater slope, which shows that the cost per hour is greater than that of the bicycles The in-line skate function has the greater slope, which shows that the cost per hour is less than that of the bicycles. The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates. The bicycle function has the greater slope, which shows that the cost per hour is less than that of the in-line skates.
Answer:the bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates
Step-by-step explanation:
The function has the greater slope and it represent : The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates
What are linear functions?
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
What is slope?The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
According to the question
The cost per hour to rent a bicycle and the cost per hour to rent in-line skates are given .
We will conclude which function has the greater slopes
if any function have greater slope than other that implies that it have greater change in y axis in comparison to other
as over here
y axis = cost
x axis = hours
Therefore,
The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates
Hence, The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates
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How many dots would be in the next image?
find the value of n: 7n-12=16
Answer:
4.
Step-by-step explanation:
7n - 12 = 16
7n = 16 + 12 = 28
Since 7n = 28, n = 28 / 7 = 4.
Point T is on line segment \overline{SU} SU . Given SU=4x+1,SU=4x+1, TU=3x,TU=3x, and ST=3x-1,ST=3x−1, determine the numerical length of \overline{SU}. SU
Answer:
The numerical length of SU =
5 units
Step-by-step explanation:
Here, we want to get the length of point SU
mathematically;
SU = ST + TU
4x + 1 = 3x -1 + 3x
4x + 1 = 6x - 1
6x-4x = 1 + 1
2x = 2
x =2/2 = 1
But SU = 4x + 1 = 4(1) + 1 = 5 units
Answer:
10
Step-by-step explanation:
DeltaMth answer 2021
1.
Sandra and Cindy both invest $14,000 into savings
accounts that earn simple interest. If Sandra's account
earns 4.5% interest and Cindy's account earns 6%
interest, how much more interest will Cindy have earned
after 7 years?
Your answer
Step-by-step explanation:
6/=14000
6x140
840x7
5880
how to
factorie 6x²+19x+15
Answer:
(3x + 5)(2x + 3)
Step-by-step explanation:
[tex]6 {x}^{2} + 19x + 15 \\ = 6 {x}^{2} + 10x + 9x + 15 \\ = 2x(3x + 5) + 3(3x + 5) \\ = (3x + 5)(2x + 3)[/tex]
I am totally stuck on this section
Answer:
i amm also strck in this
Please view the work for this problem in the picture below.