Reason 1: Distributive Property
The 1/4 x was distributed to each term in the parentheses.
Reason 2: Commutative Property
The individual factors were moved around to put numbers next to numbers and variables next to variables. (Technically the associative property was also used, to break down the previous parentheses, but I don't think your teacher is thinking about that.)
Reason 3: Associate Property
The similar factors were then regrouped.
Reason 4: Simplify
This is just simplifying.
Reason 1: Distributive property
Reason 2: Commutative property
Reason 3: Associative property
Reason 4: Simplify
What are the basic properties of Maths?What is the property of commutativity?
The rule governing the ordering of variables is the commutative property. It states that the order of the variables does not influence the final answer when they are added or multiplied.
What is the property of associativity?
The associative feature of real numbers relates to grouping variables. It states that altering the grouping of variables added to or multiplied by one another has no effect on the output.
In mathematics, what is a distributive property?
This property states that multiplying the sum of two or more addends by a number yields the same result as multiplying each addend separately by the number and then putting the resulting products together.
Detailed Explanation:First Argument: Distributive Property
[tex]\frac{1}{4x}[/tex]was allocated to each phrase between the parenthesis.
Reason 2: Property of Commutation
The individual elements were rearranged in order to place numbers alongside numbers and variables alongside variables. (Technically, the associative property was also utilized to separate the preceding parenthesis, although I doubt your teacher is aware of this.)
Reason 3: Associative Property
Similar elements were subsequently gathered.
Fourthly: simplify
This is just simplifying.
Reason 1: Distributive property
Reason 2: Commutative property
Reason 3: Associative property
Reason 4: Simplify
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The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including a 4 foot overhung. a. Knowing that the pitch of a roof is the ratio of the rise to the run, find the pitch of this roof. B. If the entire roofline measures 100 feet from end to end, find the total area of the roof. c. Find the percent of the roof used for the overhang
Solution :
Given :
Span of the roof = 48 feet
Length of the rafter = 30 feet (including the 4 feet overhung)
So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.
Therefore, the horizontal span per rafter is
[tex]$=\frac{48}{2}$[/tex]
= 24 feet
a). So the rise of the roof is [tex]$= \sqrt{(26)^2-(24)^2}$[/tex]
= 10 feet
b). Pinch of the roof is [tex]$=\frac{\text{rise}}{\text{run}}$[/tex]
[tex]$=\frac{10}{24}$[/tex]
[tex]$=\frac{5}{12}$[/tex]
c). The percent of the roof used as overhung is
[tex]$=\frac{4+4}{60}\times 100$[/tex]
[tex]$=\frac{80}{6}$[/tex]
= 13.33 %
Help mee on this part I’m stuck on this problem and I’m confused
Answer:
point D = (2, -4)
Step-by-step explanation:
It's asking the dot's location.
Cynthia's older cousin sold her his collection of Pokemon cards. She paid him $9.50 and he charged her $0.10 per card. How many Pokemon cards did she buy?
Answer:
95$
Step-by-step explanation:
what is the measure of angle f
Answer:
C) 116
Step-by-step explanation:
<F = x
x + 64 = 180
x = 116
Gary's parents want him to attend The University of Houston. They opened a college savings account 15 years ago. Today, average yearly tuition and fees for one year at the university are about $10,350. Based on this information, about how much should Gary's parents have saved each of the 15 years to cover the cost of 4 years at The University of Houston?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Today, average yearly tuition and fees for one year at the university are about $10,350.
I will assume a yearly interest rate of 8%.
First, we need to calculate the total amount needed:
Future value (FV)= 10,350*4= $41,400
Now, using the following formula, the annual deposit required:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (41,400*0.08) / [(1.08^15) - 1]
A= $7,194.22
Someone help me I need to get this finished by tomorrow ASAP
What is the fourth term of (d + 4b)3?
Answer:
The answer is in the screen shot. You're welcome
Step-by-step explanation:
what is the opposite of 1/7
Answer:-1/7
Step-by-step explanation:
i could be wrong but i tink it going to negative would be the opposite
HELP ASAP!!!
thanks if you helped!
Answer:
G. [tex]\frac{11}{20}[/tex]
Step-by-step explanation:
please help me figure this out!!
PLEASE HELP NO LINKS OKAY!!
1 point
Question 17: There were 900 students initially infected by the flu. After
medicine was distributed, the number of sick students was cut in half
every week. How many will still be sick after 4 weeks?
Answer:
56 will be sick after 4 weeks.
Step-by-step explanation:
900 / 2 = 450 (Week 1)
450 / 2 = 225 (Week 2)
225 / 2 = 112.5 (Week 3)
112.5 / 2 = 56.25 (Week 4)
(Rounding to a whole number since there can't be a quarter of a child)
Answer:
56.25 students would still be sick after 4 weeks
PLZS ANSWER I NEED HELP
Answer:
107
Step-by-step explanation:
the line is an 180 degree angle so it would be 180-73 which equals to 107! :)
have a good day!!
Answer:
107
Step-by-step explanation:
I think bc
the entire thing is 180 degrees and then just do 180 - 73
sry if its wrong
Rewrite the expression in the form k*x^n
(16/x^3)^1/4
Answer:
2*x^(3/8)
Step-by-step explanation:
Answer:
2*x^(3/8)
Step-by-step explanation:
khan
PLS ANSWER QUICKLY MY CLASS SOON!!!
Answer:
y=10
Step-by-step explanation:
y=|x-5|+|x+5|, if -5<x<5
y=10
15+n=-9 answer first and u will be the top one .
Answer:
[tex]n=-24[/tex]
Step-by-step explanation:
[tex]15+n=-9[/tex]
Simplify both sides:
[tex]n+15=-9[/tex]
Subtract 15 from both sides:
[tex]n+15-15=-9-15\\n=-24[/tex]
n = -24 is your final answer!
Step-by-step explanation:
15+n=-9
n=-9-15
n=-24
=-24
Given the equation of a line y = 10x, create a scatter plot of data points that would fit the provided line of best fit. Include a description of the variables in the scatter plot.
Answer:
10xline y =46
Step-by-step explanation:
this is what i got dont thank me im not the best at math
i REALLY need answers, like if you see this PLEASE answer it
Use either point Bor point Cto find the lengths of the
legs and hypotenuse of a right triangle. Input the
lengths. Then click done.
Need asap please just for number 9 please please help wyetwywywywyw
the answer is 2x^2 + 8x + 6
Answer:
2x²+8x+6
Step-by-step explanation:
please like my answer
What is the slope of the line?
Answer:
2
Step-by-step explanation:
To find slope just compare two points on a graph then put them into a fraction like so y₁ - y₂/x₁ - x₂
pls help immediately! this is due in 3 mins :/. (pls don’t give a link, i’ll give brainiest for the correct answer just pls help!)
Answer:
50 i think but i'm not 100 % sure i'm sorry
Step-by-step explanation:
HELP ASAP!!! THE BEST ANSWER GETS BRAINLIST! (15 POINTS)
(07.05A HC)
The following table shows the values of y for different values of x:
x y
0 -5
1 0
2 5
Which statement best explains whether the table represents a linear function or a nonlinear function?
It represents a linear function because its points are on a straight line.
It represents a linear function because its points are not on a straight line.
It represents a nonlinear function because its points are on a straight line.
It represents a nonlinear function because its points are not on a straight line.
1. 6x+11=21
Solution: Explination:
2. 4x+17=23
Solution: Explination:
Answer:
1)x=1 2/3
2)x=1.5
Step-by-step explanation:
1)6x=21-11
6x=10
x=10/6=1 2/3
2) 4x=23-17
4x=6
x=6/4= 1 1/2
Please help with number 6 and 7. Real answers please!! Help me soon as posible.
Answer:
b
Step-by-step explanation:
jehdgdhdeoejejrbdnsnskd
Which axis is the shape being reflected across? (Which axis is th
mirror?)
1c
8
1
45
A
yaxe
Answer:
report the question with the link
Step-by-step explanation:
it takes you to a human trafficing website report it ill do it too
Could somebody PLZZZZ help me. Correct answers get brainly
QUICK!!! ASAP!! BRAINLIST GETS 10 POINTS!! PLEASE I NEED THIS QUICK!
What is the initial value of the function represented by this graph?
A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 1 with the ordered pair 6, 7.
1
5
6
7
Answer:
y = f(x)
Initial value will be the first point: (0,1) = 1
Step-by-step explanation:
Select all equations that have infinitely many solutions.
A. 2x + 5 = 4 + 2x + 1
B. 5x – 5 = 11x + 2 - 1
C. 3x + 2 - 2x = x + 2
Answer:
A
C
Step-by-step explanation:
Hope this helps.
Good luck.
18x2 = 2x18 is the associative property?
Answer:
yes
Step-by-step explanation:
the product does not change
Answer:
yes
Step-by-step explanation:
the difference is same, since the product can't change