Answer:
2(8w + 1)
Step-by-step explanation:
Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.
2 appears on both sides of the plus sign.
2(16w/2 + 2/2)
Hello.
Remember that factoring is the opposite of distributing.
Factoring looks like this:
ab+ac=a(b+c) [tex]\longmapsto[/tex] factor out the greatest common factor
In this case, the Greatest Common Factor is
2
Now, divide both terms of the expression by 2.
2(8w+1)
Is this right? We can easily check by using the Distributive Property and distributing 2. Then, we can compare both expressions and see if we ended up with the original expression.
16w+2
See? We have the original expression.
I hope it helps.
Have an awesome day.
[tex]\boxed{imperturbability}[/tex]
Find the total area in the picture. Round to the nearest tenths place.
will recommend to keep in touch with picture as name of sides are based on it!.
It may not get messy so i will divide whole answer into small parts.
Now Let's move to solution :)
[tex] \\ \\ [/tex]
[tex] \gray{ \bf \dag \frak{Part 1}}[/tex]
In this part we will just focus on Semicircle with diameter 22 ft.
Given :-
Diameter = 22 ft[tex] \\ [/tex]
To find:-
Area of semicircle[tex] \\ [/tex]
So first of all let's convert diameter into radius.
we know:-
[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]
So:-
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{22}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 11}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 11}{\cancel2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{11}{1} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = 11[/tex]
[tex] \\ \\ [/tex]
Now let's find area of semicircle!
We know:-
[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]
[tex] \\ [/tex]
so:-
[tex] \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\pi {r}^{2} }{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{22 \times {11}^{2} }{7 \times 2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{\cancel{22} \times {11}^{\cancel2} }{7 \times \cancel2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{11\times {11}^{\cancel2} }{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _1= \dfrac{1331}{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf Area~of~semicircle _1= 190.14 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \gray{ \bf \dag \frak{Part 2}}[/tex]
So in this part we will find area of other semicircle.
Now as u can see BC isn't given , but AC and AB are given.
So let's find BC:-
AC = AB + BCBC = AC - ABBC = 30 - 22BC = 8 ft[tex] \\ [/tex]
Now we got the diameter, so let's change it into radius.
we know:-
[tex] \boxed{ \rm{}radius = \frac{Diameter}{2} }[/tex]
[tex] \\ [/tex]
so :-
[tex] \hookrightarrow\sf{}radius = \dfrac{Diameter}{2} [/tex]
[tex] \\[/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{8}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{2 \times 4}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = \dfrac{\cancel2 \times 4}{\cancel2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf{}radius = 4[/tex]
[tex] \\ [/tex]
Now let's find area of semicircle!
We know:-
[tex] \boxed{ \rm Area~of~semicircle = \frac{\pi {r}^{2} }{2} }[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\pi {r}^{2} }{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{22 \times {4}^{2} }{7 \times 2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{\cancel{22} \times {4}^{\cancel2} }{7 \times \cancel2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times {4}^{2} }{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{11\times 16}{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of~semicircle _2= \dfrac{176}{7} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf Area~of~semicircle _2= 25.14 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \gray{ \bf \dag \frak{Part 3}}[/tex]
Now Finally in this part we'll add both the areas of these semicircles.
Let :-
Area of semicircle with diameter AB be A₁Area of semicircle with diameter BC be A₂[tex] \\ \\ [/tex]
[tex] \sf: \implies Area~of~figure=A_1+A_2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \sf: \implies Area~of~figure=190.14+25.14 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \bf: \implies Area~of~figure=215.28 {ft}^{2} \\ [/tex]
[tex] \\ \\ [/tex]
100 POINTS!
Given the ordered pairs {(-2,6), (1,0), (-3,10), (5,4), (7,8), (9,-9)}, the value 8 is part of the ___???
A. Range
B. Domain
Answer: domain (7,8)
Step-by-step explanation: range is the Y-value and domain is the x-value
Answer:
A. Range
The value 8 is the range
Step-by-step explanation:
The range is all y-values or outputs of a function.
Solve the system of equations using substitution.
Solution: _______?
Y=8x-2
3x+y=42
Answer:
(4,30)
Step-by-step explanation:
3x+y=42
y=8x-2
3x+8x-2=42
11x-2=42
+2 +2
11x=44
÷11 +11
x=4
Can someone please help with this
Adeline invests $5,250 in an account that is compounded annually and
pays an interest rate of 3.4% each year. Use this information to fill in the blanks below. *
The situation is an exponential function of exponential growth with a factor of 1.034 and the initial amount of $5,250.
What in a compound interest?
Compound interest is when both the amount invested and the interest already accrued earn an interest. This means that when there is a compound interest, the amount invested increases by a certain amount.
The equation that can be used to represent compound interest is:
FV = PV(1 + r)^n
Where
PV = amount invested (1 + r) = exponential factorn = number of yearsTo learn more about compound interest, please check: https://brainly.com/question/26367706
7) Alicia has a board game that is 18 inches wide and 18 inches long.
What is the area of the board game?
Answer:
324 inches
Step-by-step explanation:
18 x 18 or 18² is 324
Answer:
324 square inches
Step-by-step explanation:
just multiply the length times the width and ABRACADABRA!!!!!!! theres your answer
50 POINTS AND BRANLIEST
What is the median value of the data set shown on the line plot?
Solution:
Step-1: Find the data.
70's: 180's: 190's: 2100's: 3110's: 4120's: 4130's: 2140's: 1Data obtained (Smallest to biggest):
70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140Step-2: Count the number of digits.
18 digits in dataStep-3: Use the formula "Total digits/2".
18/2 = 9th digitThe 9th digit in the data is the median.
Step-4: Revise the data.
70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140The median value of the line plot is 110.
Answer:
[tex]110 = \text{median}[/tex]
Step-by-step explanation:
We can see that there are:
[tex]\rightarrow \ \ \text{1 "x" on 70} \ \ \ \rightarrow \ \ 70}[/tex]
[tex]\rightarrow \ \ \text{1 "x" on 80} \ \ \ \rightarrow \ \ 80}[/tex]
[tex]\rightarrow \ \ \text{2 "x" on 90} \ \ \ \rightarrow \ \ 90,\ 90}[/tex]
[tex]\rightarrow \ \ \text{3 "x" on 100} \ \ \rightarrow \ \ 100,\ 100, \ 100}[/tex]
[tex]\rightarrow \ \ \text{4 "x" on 110} \ \ \rightarrow \ \ 110,\ 110, \ 110, \ 110}[/tex]
[tex]\rightarrow \ \ \text{4 "x" on 120} \ \ \rightarrow \ \ 120,\ 120, \ 120, \ 120}[/tex]
[tex]\rightarrow \ \ \text{2 "x" on 130} \ \ \rightarrow \ \ 130,\ 130[/tex]
[tex]\rightarrow \ \ \text{1 "x" on 140} \ \ \rightarrow \ \ 140[/tex]
Now, let's put the values in descending form (Greatest --- Smallest). Start from the bottom and go to the top.
[tex]\rightarrow140, 130, 130, 120, 120, 120, 120, 110, 110, 110, 110, 100, 100, 100, 90, 90, 80, 70[/tex]
To find the median of the line plot, we need to check how many numbers are in total. Then, use the correct formula to find out which digit is the median. Lastly, use the "descending" data to find the median.
[tex]\rightarrow 1 + 1 + 2 + 3 + 4 + 4 + 2 + 1[/tex]
[tex]\rightarrow 7 + 11[/tex]
[tex]\rightarrow 18 \ \text{digits}[/tex]
Since 18 is an even number, the correct formula to use is [tex]\frac{n}{2}[/tex], where n is the total digits in the line plot.
[tex]\rightarrow \dfrac{n}{2}[/tex]
[tex]\rightarrow \dfrac{18}{2} = 9^{\text{th}}[/tex]
Now, let's take a look at our "descending" data to see which is the median. Remember, the ninth digit is the median.
[tex]140, 130, 130, 120, 120, 120, 120, 110, \boxed{\bold{110}}, 110, 110, 100, 100, 100, 90, 90, 80, 70\\[/tex]
Thus, 110 is the median.
I need help with this please
Here, we will apply the concept of Vertically Opposite angle property and central angle property ;
So here, as b is vertically opposite to the angle whose measure is 20° . So , b will also be 20°
And, if we see the angle c, so angle vertically opposite to c will also be c, and as central angle is of 360° , so ;
[tex]{:\implies \quad \sf c+c+20^{\circ}+20^{\circ}=360^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c+40^{\circ}=360^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c=360^{\circ}-40^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c=320^{\circ}}[/tex]
[tex]{:\implies \quad \sf c=\dfrac{320^{\circ}}{2}=160^{\circ}}[/tex]
Hence, we can conclude that ;
[tex]{\bf{c=160^{\circ}}}[/tex] [tex]{\bf{b=20^{\circ}}}[/tex]Help me out please please
Answer: I'm sorry I could not give you the actual answer but I narrowed it down to either B or C.
Please help me! Please explain thanks!
Answer:
Measure of side a: 3
Measure of side b: 4
Measure of side c: 5
Side a/c: 3/5
Side b/c: 4/5
Side a/b: 3/4
Step-by-step explanation:
Answer:
Answer
See answers below
I hope this helps you
:)
What is the value of the expression?
(12 1/3 + 5 1/3) – (7 4/8 -7 1/6)
Enter your answer in the box as a mixed number
HURRRYYY (no links)
write the factored equation of the following 6th degree polynomial with intercept at (0, 576)
Check the picture below on the left-hand-side.
we know the degree of the polynomial will be 6, so the exponents of its factors must add up to 6.
now, we know that at -4 and -1 it has an odd multiplicity, so the exponent of that factor could be either 3 or 1 hmmm so which is it?
well, when the graph cross the axis straight through, it'd be a multiplicity of 1, when it leans a bit on the axis, like it does on -4, the multiplicity will be larger than 1, so then
[tex]\begin{cases} x=-4\implies &x+4=0\\ x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies a\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \stackrel{\textit{we also know that}}{x=0\qquad y=576}\implies a(0+4)^3(0+1)(0-3)^2=576\implies a(64)(1)(9)=576 \\\\\\ 576a=576\implies a=\cfrac{576}{576}\implies a=1~\hfill \begin{array}{llll} 1\stackrel{odd\qquad odd\qquad even}{(x+4)^3(x+1)^1(x-3)^2}=y \\\\\\ \boxed{(x+4)^3(x+1)^1(x-3)^2=y} \end{array}[/tex]
Check the picture below on the right-hand-side
3. Five gentlemen went to Molesky’s restaurant for all-you-can-eat wings. Mr. Andreasen ate 6 wings, Mr. Betz ate 24 wings, Mr. Henricksen ate 18 wings, Mr. Osters ate 20 wings, and Mr. Tyson ate 32 wings
Answer:
its 100 because 6+24+18+20+32=100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
If you’re looking for in total, then it’s 100.
Choose the monetary amount that is equivalent to 2 3/100 in money
Answer:
yehhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Find the area of the shape.
Either enter an exact answer in terms of π (pi) or use 3.14, for π (pi) and enter your answer as a decimal.
Answer:
Step-by-step explanation:
r = 4 units
Given shape is 3/4 part of circle.
Area of the shape = [tex]\dfrac{3}{4}\pi r^{2}[/tex]
[tex]= \dfrac{3}{4}*3.14*4*4\\\\\\=3*3.14*4[/tex]
= 37.68 square units
pls help and the a b c thing there all the questions
Answer:
A = 3,000 Prarie dogsB = 18,000C = 6 poundsFind the approximate Volume of a Sphere with a diameter of 10.
(Please round your answer to the hundreths place.)
Answer:
4188.79
Step-by-step explanation:
Formula for volume of a sphere: let V be volume and r be diameter:
V=(4/3)pi(r)^3
Pi can be written as 3.141593
Need help as soon as possible. I keep doing it and gettin mg it wrong :( 39 points!
abcdefghijklmnopqrstuvwxyz
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
Answer:
six miles total
Step-by-step explanation:
adding the 4.25s together and count how many you added till you reach the price
Mia took the taxi ride for 7 miles not including the tip and pickup fee.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, that Mia took a taxi from her house to the airport.
The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05.
∴ Her taxi charge excluding the pickup fee is,
= (31.05 - 1.30) dollars.
= 29.75 dollars.
So, the no. of miles she rides is,
= (29.75/4.25) dollars.
= 7 miles.
learn more about unitary method here :
https://brainly.com/question/28276953
#SPJ2
Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the value of x?
Answer:
I guess 342 is the answer.
Step-by-step explanation:
Because the sum of all angles of a ️(triangle) is 360 degree.
Answer:
Step-by-step explanation:
(isosceles triangle base angles are equal)
(all angles of triangle are equal to 180)
38 + x + x = 180
2x = 180 - 38
2x/2 = 142/2
x = 71
Evaluate: n-1 510,5 5 () = [?] Round to the nearest hundredth. Enter
for my friend please thanks
Answer:
151100 because hundred contain two zeros
Theo says that the point (-5, 7) and its reflection are always 10 units apart. Is he correct? Explain
Answer:
no
Step-by-step explanation:
This answer is no because -5 and 7 are 12 units apart
9.
Peter and his best friend found some money buried in a
field. They split the money evenly, each getting $26. Which
equation models this scenario?
a) x + x + 2 = 52
b) x/0.5 = 26
C) 0.5x = 26
d) 2x = 26
Answer:
should be A
Step-by-step explanation:
Identify the polygon with vertices H(-6, -2), A (-10,4), T(-6,6), and C(-2,4) and then find the perimeter
and area of the polygon.
Answer:
kite; P=45–√+413−−√ units; A=32 units2
Step-by-step explanation:
Find the length of each side using the Distance Formula.
Find the length of side HA.
HA=(−10−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−−√
=(−4)2+(6)2−−−−−−−−−−√
=16+36−−−−−−√
=52−−√=213−−√
Find the length of side AT.
AT=(−6−(−10))2+(6−4)2−−−−−−−−−−−−−−−−−−−−√
=(4)2+(2)2−−−−−−−−−√
=16+4−−−−−√
=20−−√=25–√
Find the length of side TC.
TC=(−2−(−6))2+(4−6)2−−−−−−−−−−−−−−−−−−−√
=(4)2+(−2)2−−−−−−−−−−√
=16+4−−−−−√
=20−−√=25–√
Find the length of side HC.
HC=(−2−(−6))2+(4−(−2))2−−−−−−−−−−−−−−−−−−−−−−√
=(4)2+(6)2−−−−−−−−−√
=16+36−−−−−−√
=52−−√=213−−√
Therefore, HA=HC=213−−√ and AT=TC=25–√.
Since there are two pairs of congruent consecutive sides, HATC is a kite by definition.
Find the perimeter of the kite as the sum of the four sides.
P=213−−√+25–√+25–√+213−−√=45–√+413−−√ units
To find the area of the kite, first find the lengths of the diagonals AC and TH using the Diatance Formula.
The figure shows the same quadrilateral H A T C as in the beginning of the task. Diagonal A C is perpendicular to diagonal T H.
Find the length of diagonal AC.
AC=(−2−(−10))2+(4−4)2−−−−−−−−−−−−−−−−−−−−√
=(8)2+(0)2−−−−−−−−−√
=64−−√=8
Find the legth of diagonal TH.
TH=(−6−(−6))2+(−2−6)2−−−−−−−−−−−−−−−−−−−−−√
=(0)2+(−8)2−−−−−−−−−−√
=64−−√=8
Find the area of the kite using the formula for the area of a kite, A=12d1d2.
Substitute 8 for d1 and 8 for d2.
A=12(8)(8)=32 units2
Therefore, the perimeter of the kite is 45–√+413−−√ units and the area is 32 units2.
help! Please show work this is my last question! ʕ•ᴥ•ʔ
Answer:
Here
Step-by-step explanation:
Input for x on first input is 7! 2*7+4
Input for x on second input is 9 2*9+4
Input for x on third input is 15 2*15+4
Hope this helps!
Answer:
(7, 18) (9, 22) (15, 34)
Step-by-step explanation:
so all you have to do is substitute the values given
substitute the input into x
wait a minute.. its output so what you ACTUALLY have to do is
18 = 2x + 4
then solve for the inputs
14 = 2x
x = 7
22 = 2x + 4
18 = 2x
x = 9
34 = 2x + 4
30 = 2x
x = 15
What is the discriminant of -2x2 - x-1=0
Answer:
-7
Step-by-step explanation:
In the equation of ax² +bx +c= 0, the discriminant (denoted by D) is [tex]\textcolor{steelblue}{b^{2} - 4ac }[/tex].
-2x² -x -1= 0
Let's identify the values of a, b and c in this equation! It is important to account for the negative sign too.
a= -2, b= -1, c= -1
D
= (-1)² -4(-2)(-1)
= 1 -4(2)
= 1 -8
= -7
Implications of discriminant
The discriminant tells us the number of roots (solutions) the equation hasWhen D < 0, there are no real rootsWhen D= 0, there is one real rootWhen D > 0, there are two real rootsA recipe requires 4.5 teaspoons of sugar to make a cup of pudding. Which equation shows the number of teaspoons of sugar, y, needed to make x cups of pudding?
x = 4.5y
y = 4.5 + x
y = 4.5x
x = 4.5 + y
I am in middle school, I just clicked the wrong button.
Answer:
x = 4.5y
Step-by-step explanation:
x = pudding
y = teaspoons
y = 1 so 1 x 4.5 will get you 4.5 teaspoons of sugar
Decide which of the following is a reasonable answer for 3/7 x 8
Answer:
the answer is 3 3/7 or 24/7
A 135$ deep sea fishing trip was shared equally among five friends. How much did each person pay for the trip?
Answer:
$27
Step-by-step explanation:
135 / 5 = 27
each friend paid $27.
What are the angles for these?
Answer:
1) 60
2) 80
3) 90
step by step explanation
so sorry