That's easy.
[tex]1\cdot-\dfrac{5}{8}=-\dfrac{5}{8}[/tex]
Hope this helps.
r3t40
[tex]3a - 2 - b - a[/tex]
Answer:
2a -b -2
Step-by-step explanation:
3a -2 - b- a
Combine like terms
3a -a -b -2
2a -b -2
17
Find the x-intercepts of the parabola with vertex (1,-9) and y-intercept at (0,-6).
A. (-1,0), (3,0)
B. (-0.73,0), (2.73,0)
C. (-1.48,0), (2.48,0)
D. (-4.67,0), (1.67,0)
let's firstly find the equation of the parabola, bearing in mind that x-intercepts or solutions/zeros/roots means y = 0.
[tex]\bf ~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=1\\ k=-9 \end{cases}\implies y=a(x-1)^2-9 \\\\\\ \textit{we also know that } \begin{cases} x=0\\ y=-6 \end{cases}\implies -6=a(0-1)^2-9\implies 3=a(-1)^2[/tex]
[tex]\bf 3=a\qquad \qquad \textit{therefore}\qquad \qquad \boxed{y=3(x-1)^2-9} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}=3(x-1)^2-9\implies 9=3(x-1)^2\implies \cfrac{9}{3}=(x-1)^2\implies 3=(x-1)^2 \\\\\\ \pm\sqrt{3}=x-1\implies \pm\sqrt{3}+1=x\implies x= \begin{cases} \sqrt{3}+1\\ -\sqrt{3}+1 \end{cases}\implies x\approx \begin{cases} 2.73\\ -0.73 \end{cases}[/tex]
Help ASAP pls !!!!!!!!!!!!!
Answer:
I think it's B.
Step-by-step explanation:
They are asking for integers greater than -3 and less than 5.
For this case we have to:
[tex]x <-3[/tex]: Represents the solution of all strict minor numbers to -3.
[tex]x> 5[/tex]: Represents the solution of all strict major numbers to 5.
The global solution is given by the intersection of both sets.
If we represent the solution in a straight line, it gives us empty. do not intersect.
Answeer:
Option C
Find the range of the function f(x) = 4x - 1 for the domain (-1,0, 1, 2, 3}.
For this case we have a fucnion of the form [tex]y = f (x)[/tex]
Where:
[tex]f (x) = 4x-1[/tex]
By definition, the rank of a function is given by:
The set of the real values that the variable y or f (x) takes.
So:
[tex]f (-1) = 4 (-1) -1 = -4-1 = -5\\f (0) = 4 (0) -1 = 0-1 = -1\\f (1) = 4 (1) -1 = 4-1 = 3\\f (2) = 4 (2) -1 = 8-1 = 7\\f (3) = 4 (3) -1 = 12-1 = 11[/tex]
ANswer:
The range is: -5, -1,3,7,11
Answer:
{-5,-1,3,7,11}
Step-by-step explanation:
The range is the output of the function
We have the inputs
f(x) = 4x - 1
f(-1) = 4(-1)-1 = -4-1 = -5
f(0) = 4(0)-1 = 0-1 = -1
f(1) = 4(1)-1 = 4-1 = 3
f(2) = 4(2)-1 = 8-1 = 7
f(3) = 4(3)-1 = 12-1 = 11
The outputs for the given inputs are
{-5,-1,3,7,11}
(3k/k-2)+(6/2-k)
3
-3
3k+6/k-2
3k+6/k+2
Answer:
Therefore, the answer is 3
Step-by-step explanation:
The given expression is:
[tex]\frac{3k}{k-2} + \frac{6}{2-k} \\\\Taking\ LCM\\= \frac{3k(2-k)+6(k-2)}{(k-2)(2-k)} \\=\frac{6k-3k^2+6k-12}{(k-2)(2-k)}\\= \frac{-3k^2+12k-12}{(k-2)(2-k)}\\\\Applying\ formula\\=\frac{-3(k^2-4k+4)}{(k-2)(2-k)}\\=\frac{-3((k)^2-2*2*k+(2)^2)}{(k-2)(2-k)}\\=\frac{-3(k-2)^2}{(k-2)(2-k)}\\=\frac{-3(k-2)}{(2-k)}\\=\frac{3(2-k)}{2-k}\\=3[/tex]
Answer: 2k
Step-by-step explanation:
-k + 3k = (-1 + 3)k = 2k
True or False? The circumcenter of a triangle is the center of the only circle
that can be inscribed about it.
Answer:
The statement is False
Step-by-step explanation:
we know that
An inscribed circle is the largest circle contained within the triangle. The center of the circle inscribed in a triangle is the incenter of the triangle.
The incenter is the point where the angle bisectors of the triangle intersect.
The circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is called the circumcenter of the triangle
The circumcenter is the point where the perpendicular bisectors of the sides intersect.
therefore
The circumcenter of a triangle is the center of the only circle
that can be circumscribed about it.
The statement is false
The circumcenter of a triangle is the center of the only circle that can be inscribed about it. True or false?
Answer: False
Solve the following system of equations by graphing and select the correct answer below:
4x + 3y = 29
2x − 3y = 1
a) x = 3, y = 5
b) x = −3, y = 5
c)x = 5, y = 3
d) x = 5, y = −3
Answer: option c
Step-by-step explanation:
Find the x-intercept and y-intercept of each line.
To find the x-intercept, substitute [tex]y=0[/tex] into the equation and solve for "x".
To find the y-intercept, substitute [tex]x=0[/tex] into the equation and solve for "y".
- For the first equation:
x-intercept
[tex]4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25[/tex]
y-intercept
[tex]4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66[/tex]
Graph a line that passes through the points (7.25, 0) and (0, 9.66)
- For the second equation:
x-intercept
[tex]2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5[/tex]
y-intercept
[tex]2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33[/tex]
Graph a line that passes through the points (0.5, 0) and (0, -0.33)
Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:
[tex]x=5\\y=3[/tex]
ANSWER
c)x = 5, y = 3
EXPLANATION
The given system has equations:
[tex]4x + 3y = 29[/tex]
and
[tex]2x - 3y = 1[/tex]
We graph the above equations using a graphing software to obtain the graph shown in the attachment.
The solution to the given system is the point of intersection of the two straight lines.
From the graph, the two straight lines intersected at (5,3).
This implies that the solution to the system is:
[tex]x = 5 \: and \: y = 3[/tex]
The correct answer is option is C
Todd is playing a board game and rolls two number cubes. Let A={the sum of the number cubes is even} and let B={the sum of the number cubes is divisible by 2}. List the outcomes A n B A)3,6,9,12 B) 2,4,6,8,10,12 c) 2,3,4,5,6,7,8,9,10 or D) 0,2,4,6,8,12
Answer:
The correct option is B
Step-by-step explanation:
Todd rolls two number cubes.
Let A={the sum of the number cubes is even}
A={2,4,6,8,10,12}
Let B={the sum of the number cubes is divisible by 2}
B = {2,4,6,8,10,12}
Now we have to find A∩B
Intersection refers to the values which are common in both the sets. The sums in both sets are even and divisible by 2.
So,
A={2,4,6,8,10,12} B = {2,4,6,8,10,12}
A∩B = {2,4,6,8,10,12}
Thus the outcomes A∩B = {2,4,6,8,10,12}
The correct option is B....
Answer:
B
Step-by-step explanation:
Find RS in the picture please
Answer:
D 5
Step-by-step explanation:
PQ + QR + RS = PS
Substituting what we know
2x-6 + 1 + x-4 = 18
Combine like terms
3x-9 = 18
Add 9 to each side
3x-9+9 =18+9
3x= 27
Divide each side by 3
3x/3 =27/3
x=9
We want to find RS
RS = x-4
= 9-4
=5
Which is a possible turning point for the continuous function f(x)? (–3, –4) (–2, –1) (0, –5) (1, –8)
Answer:
That would be the point(-2, -1)
Step-by-step explanation:
The graph rises between (-3, -4) and (-2, -1) then falls as it passes through the last 2 points ( y = -1 goes to y= -5 and then to y = -8 as x values move to the right).
Answer: (–2, 1)
Step-by-step explanation:
just did this
this is a question from MathXL Pearson Statistics. please help
Answer:
Event A has 13/52 outcomes.
Step-by-step explanation:
Total no of cards in a deck = 52
No of clubs in a deck = 13
Event A has outcomes = No of clubs in a deck/Total no of cards in a deck
= 13/52
So, Event A has 13/52 outcomes.
What is the inverse of the function f(x) = 2x + 1?
Answer:
The inverse f-1(x) = ( x - 2) / 2.
Step-by-step explanation:
Let 2x + 1 = y
Now find x in terms of y:
2x = y - 1
x = (y - 1) / 2
Replace the x by the inverse f-1(x) and the y by x, so we have:
f-1(x) = ( x - 2) / 2.
[tex]f(x)=2x+1\\\\y=2x+1\\2x=y-1\\x=\dfrac{y-1}{2}\\\\f^{-1}(x)=\dfrac{x-1}{2}[/tex]
Which two events are independent?
A and X
A and Y
B and X
B and Y
Answer:
A and X
Step-by-step explanation:
None
on the coordinate grid, the graph of y= 3/x-1+3 is shown. it is a translation of y =3/x
The question is about translating the graph of the function y = 3/x. The graph of y = 3/(x - 1) + 3 results from shifting the parent function to the right by 1 unit and upwards by 3 units on the coordinate grid.
Explanation:The question pertains to the translation of a rational function on the coordinate grid and is related to graph transformations. The function y = 3/x is known as the parent function, and y = 3/(x - 1) + 3 is the transformed function. To illustrate the translation, we can understand the changes in terms. Here x - 1 indicates a horizontal shift to the right by 1 unit, and +3 signifies a vertical shift upwards by 3 units. The new graph represents these translations on the coordinate system, which is a two-dimensional representation with x and y-axes as described in the reference information provided.
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer:
84°
Step-by-step explanation:
smallest angle=x
3x=2nd angle
x+40=3rd angle
angles in a triangle add up to 180 degrees so
5x+40=180
5x=140
x=28
largest angle = 3x
so 3 x 28 = 84 degrees
The largest angle is 84 degrees
Answer:
Largest angle = 84°
Step-by-step explanation:
According to the given information, we are assuming the smallest angle of the triangle to be [tex]x[/tex] degrees, next angle to be [tex]3x[/tex] degrees and the last angle to be [tex]x+40[/tex] degrees.
We know that all three angles of a triangle add up to 180 degrees so:
[tex]x+3x+x+40=180[/tex]
[tex]5x=140[/tex]
[tex]x=28[/tex]
Smallest angle = 28°
Next angle = [tex]3(28)[/tex] = 84°
Last angle = [tex]28+40[/tex] = 68°
Therefore, the largest angle = 84°
15 points!!
Look at the picture to see the problem. What do you think?
Answer:
I don't remember well, and I'm not sure if this is correct, but, I think the answer is This is beacuse ∠FCD are facing with ∠CDG meaning it would be a same side interior angle.
Answer:
Step-by-step explanation:
If you extend BF until it meets AG and consider the the triangle CD and the meeting point, then angle FCD is an interior angle.
If on the other hand it might just be the supplement of DCB which would make it neither. I can see why you want us to take a shot at it. That is a seat of my pants answer. If someone has a better reason, take that one.
A concrete mix calls for 3 buckets of sand for every gallon of water. How much water is needed for 1 bucket of sand?
Step-by-step explanation:
Write a proportion:
3 buckets / 1 gallon = 1 bucket / x gallons
Cross multiply and solve:
3x = 1
x = 1/3
You need 1/3 of a gallon of water.
There are 321 visitors at the library. Each library table seats 12 people. How many tables are needed to seat all of the visitors?
(Explain the process of how you got your answers)
Hello.
The answer is: 27
To get this answer you can divide 321 and 12. But that will give you an uneven number such as 26.75. And because you cant have 26.7 tables you will wound it up to be 27 tables.
Answer:
321÷12=26.75
answer: 27
Step-by-step explanation:
since you know that each table can only seat 12 people and there is 321 visitors you divide 321 by 12 which you get 26.75, but u cant have 26.75 tables so you round up to 27 so you can seat all the visitors because if you round down to 26, 9 people won't have a seat.
Alexa is designing a paper airplane whose final shape, when viewed from the top or bottom, is a trapezoid. A sketch of her plane, viewed from the top, is shown on the left.
What are the dimensions of one of the identical triangular pieces of the plane?
2 cm base, 3 cm height
3 cm base, 3 cm height
3 cm base, 4 cm height
3 cm base, 6 cm height
Answer:
2 cm base, 3 cm height
Step-by-step explanation:
Let
x -----> the height of one of the identical triangles pieces of the plane
y ----> the base of one of the identical triangles pieces of the plane
we know that
x=3 cm
2y+2=6
solve for y
2y=6-2
2y=4
y=2 cm
therefore
The dimensions of one of the identical triangles pieces of the plane are 2 cm base and 3 cm height
Answer:
The correct option is 1. The dimensions of one of the identical triangular pieces of the plane are 2 cm base and 3 cm height.
Step-by-step explanation:
From the given figure it is noticed that the length of parallel sides of the trapezoid are 6 cm and 2 cm.
The height of triangular pieces is same as the height of trapezoid. So the height of triangular pieces is 3 cm.
Let the measure of base of the triangular pieces be x.
[tex]x+2+x=6[/tex]
Combine like terms.
[tex]2x+2=6[/tex]
Subtract 2 form both the sides.
[tex]2x+2-2=6-2[/tex]
[tex]2x=4[/tex]
Divide both sides by 2.
[tex]x=\frac{4}{2}[/tex]
[tex]x=2[/tex]
The base of the triangles is 2 cm.
The dimensions of one of the identical triangular pieces of the plane are 2 cm base and 3 cm height. Therefore the correct option is 1.
How do you find the focus and directrix of y=-2x^2 +8x-15?
Answer: [tex]\bold{focus: \bigg(2, -7 \dfrac{1}{8}\bigg), \quad directrix: y = -6 \dfrac{7}{8}}[/tex]
Step-by-step explanation:
First, rearrange the equation into vertex form: y = a(x - h)² + k where
(h, k) is the vertex[tex]a = \dfrac{1}{4p}[/tex]NOTE: p is the distance from the vertex to the focus
y = -2x² + 8x - 15
y + 15 = -2x² + 8x → added 15 to both sides
y + 15 = -2(x² - 4x) → factored out -2 from the right side
y + 15 + (-2)(4) = -2(x² - 4x + 4) → completed the square
y + 7 = -2(x - 2)² → simplified
y = -2(x - 2)² - 7 → subtracted 7 from both sides
Now it is in vertex form where:
(h, k) = (2, -7)a = -2 ⇒ [tex]-2=\dfrac{1}{4p}[/tex] ⇒ [tex]p=-\dfrac{1}{8}[/tex]Focus = (2, -7 + p) → Focus = (2, -7 + (-1/8)) → [tex]Focus = \bigg(2, -7 \dfrac{1}{8}\bigg)[/tex]
Directrix: y = -7 - p → Directrix: y = -7 - (-1/8) → [tex]Directrix: y = -6 \dfrac{7}{8}[/tex]
what is the value of x?
Answer:
x = 130
Step-by-step explanation:
The sum of the exterior angles of a polygon is always 360
140 + x + 56+ 34 = 360
Combine like terms
230 +x = 360
Subtract 230 from each side
230+x-230 = 360-230
x =130
Find the first three terms of the arithmetic series described.
a_1=1,a_n=19,S_n=100
Answer:
1, 3, 5
Step-by-step explanation:
The sum of an arithmetic series is:
S_n = n (a_1 + a_n) / 2
100 = n (1 + 19) / 2
n = 10
The nth term of an arithmetic sequence is:
a_n = a_1 + d (n − 1)
19 = 1 + d (10 − 1)
d = 2
The common difference is 2. So the first three terms are 1, 3, and 5.
How would you get the answer of how much change he received
Answer:
Step-by-step explanation:
Givens
I foot of sill = 1.75
35 feet of sill = x
Paid with 100 dollars.
Solution
First part
Solve the proportion
1/35 = 1.75/ x Cross multiply
1*x = 35 * 1.75
x = 61.25
=========
Second part
Get the change.
Change = 100 - 61.25
Change = 38.75
============
The change =
3 tens 30.00
1 five 5.00
3 ones 3.00
3 quarters .75
Total 38.75
how many possible outcomes are there when you roll four dice
Answer:
24
Step-by-step explanation:
I think you would do 6 sides on the dice times 4 dice.
Answer:
There is 1,296 possible outcomes
Step-by-step explanation:
You are rolling a die which has 6 faces 4 times.
Each of those rolls has 6 outcomes. That other outcome has 6 other outcomes, which goes on for 4 rolls.
SO you multiply 6*6*6*6=1296 possible outcomes
PLZ VOTE ME FOR BRAINLEST
Find the sum of this infinite geometric series where a1=0.3 and r=0.1
Answer:
1/3
Step-by-step explanation:
The formula for computing the sum of an infinite geometric series is
[tex]S=\frac{a_1}{1-r}[/tex] where r is between -1 and 1 and [tex]r[/tex] is the common ratio, and [tex]a_1[/tex] is the first term of the series.
So let's plug in:
[tex]S=\frac{0.3}{1-0.1}[/tex]
[tex]S=\frac{0.3}{0.9}[/tex]
[tex]S=\frac{3}{9}[/tex] I multiplied bottom and top by 10.
[tex]S=\frac{1}{3}[/tex] I divided top and bottom by 3.
The sum is 1/3.
The sum of the infinite geometric series is 1 / 3.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied with that constant term to form a geometric progression.
Given that the first term a₁ = 0.3 and common ratio r = 0.1. The sum of the geometric series is calculated by using the formula below:-
S = a₁ / ( 1 - r )
S = 0.3 / ( 1 - 0.1 )
S = 0.3 / 0.9
S = 3 / 9
S = 1 / 3
Therefore, the sum of the infinite geometric series is 1 / 3.
To know more about geometric progression follow
https://brainly.com/question/12006112
#SPJ2
What is the volume of the cylinder shown below? I WILL MARK BRAINLIEST
Answer:
[tex] H.~~ 138.16~ft^3 [/tex]
Step-by-step explanation:
Start with the volume formula for a cylinder.
[tex] V = \pi r^2h [/tex]
Now use the given information.
r = 2 ft
h = 11 ft
Use 3.14 for pi.
[tex] V = 3.14 \times (2~ft)^2 \times 11 ft [/tex]
[tex] V = 3.14 \times 4~ft^2 \times 11 ft [/tex]
[tex] V = 3.14 \times 44~ft^3 [/tex]
[tex] V = 138.16~ft^3 [/tex]
What should be added to the difference of 1 and 1/2 and 2/6 to get 1 and 2/3?
Rewrite 1/2 to have a common denominator with 2/6
1/2 x 3 = 3/6
Now you have 1 and 3/6 - 2/6 = 1 and 1/6
Now rewrite 2/3 to have a common denominator with 1/6: 2/3 x 2 = 4/6
Subtract 1/6 from 4/6:
4/6 - 1/6 = 3/6 = 1/2
You will need to add 1/2
To get from the difference between 1 and 1/2 and 2/6 to 1 and 2/3, one must add 1/2 after ensuring both differences have a common denominator.
To find out what should be added to the difference between 1 and 1/2 and 2/6 to get 1 and 2/3, we need to perform a few steps involving fractions. First, let's convert 1 and 1/2 into an improper fraction by multiplying 1 (the whole number) by 2 (the denominator of the fractional part) and adding 1 (the numerator of the fractional part), which gives us 3/2. Now, to find the difference between 3/2 and 2/6, we must have a common denominator, which is 6 in this case. Multiplying the numerator and denominator of 3/2 by 3 gives us 9/6.
Now we subtract 2/6 from 9/6 to get the difference, which is 7/6 or 1 and 1/6. To find what needs to be added to this difference to get 1 and 2/3, we must also express 1 and 2/3 as an improper fraction. Multiplying 1 (the whole number) by 3 (the denominator) and adding 2 (the numerator) gives us 5/3.
To compare 7/6 with 5/3, we need the same denominator, which is 6. So we multiply the numerator and denominator of 5/3 by 2 to get 10/6. Subtracting 7/6 from 10/6, we find the missing number to be 3/6, which simplifies to 1/2.
The function f(x) = 4(2) ^x represents the number of people who share a cat
video x hours after it first appears on a website. How does the number of
people sharing the video change each hour?
Answer:
It will double every hour.
Step-by-step explanation:
f(x) = 4(2)^x
This is an exponential function so the number of people will increase at a faster rate each hour. It will accelerate.
Lets try entering a few values:
After 1 hour, people = 4*2 = 8
After 2 hours , people =4*2^2 = 16
After 3 hours, people = 4(2)^3 = 32
After 4 hours, people = 4(2)^4 = 64.
It is doubling every hour.
.
HELPPPPPP!!
Leila, Larry, and Cindy are running for 12th grade class offices. They will be named to the positions of president, vice-president, and secretary according to the number of votes each receives. The person with the most votes will be president, the person with the second-highest number of votes will be vice-president, and so on. In how many different ways can the three students form a set of class officers?
Answer:
In 6 different ways can the three students form a set of class officers.
Step-by-step explanation:
There are 3 people Leila, Larry, and Cindy and 3 positions president, vice-president, and secretary.
We need to find In how many different ways can the three students form a set of class officers.
This problem can be solved using Permutation.
nPr = n!/(n-r)! is the formula.
Here n = 3 and r =3
So, 3P3 = 3!/(3-3)!
3P3 = 3!/1
3P3 = 3*2*1/1
3P3 = 6
So, in 6 different ways can the three students form a set of class officers.
the length of a rectangle is 5 centimeters less than twice its width. It’s area is 28 square centimeters. Find the dimensions of the rectangle
Answer:
It didn't saying anything about rounding but the the dimensions in there exact form are:
[tex]L=\frac{-5+\sqrt{249}}{2} \text{ cm}[/tex]
and
[tex]W=\frac{5 + \sqrt{249}}{4} \text{ cm }[/tex].
Now if they said to round to the nearest hundredths the dimensions in this rounded form would be:
L=5.39 cm and W=5.19 cm
(Check your question again and see if you meant what you have)
Step-by-step explanation:
L is 5 less than twice W
L = 2W-5
Area of rectangle=L*W
Area is 28 means L*W=28.
I'm going to insert L=2W-5 into L*W=28 giving me
(2W-5)*W=28
Distribute
2W^2-5W=28
Subtract 28 on both sides
2W^2-5W-28=0
a=2
b=-5
c=-28
We are going to use the quadratic formula.
Plug in...
[tex]W=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\W=\frac{5 \pm \sqrt{(-5)^2-4(2)(-28)}}{2(2)}\\\\W=\frac{5 \pm \sqrt{25+224}}{4}\\\\W=\frac{5 \pm \sqrt{249}}{4}[/tex]
W needs to be positive so [tex]W=\frac{5 + \sqrt{249}}{4}[/tex]
And [tex]L=2W-5=2(\frac{5 + \sqrt{249}}{4})-5[/tex]
[tex]L=\frac{5+\sqrt{249}}{2}-5[/tex]
[tex]L=\frac{5+\sqrt{249}}{2}-\frac{10}{2}[/tex]
[tex]L=\frac{-5+\sqrt{249}}{2}[/tex]
Does L*W=28?
Let's check.
[tex]L \cdot W=\frac{-5+\sqrt{249}}{2} \cdot \frac{5 + \sqrt{249}}{4}[/tex]
[tex]L \cdot W=\frac{249-25}{8}[/tex]
In the last step, I was able to do a quick multiplication because I was multiplying conjugates. (a+b)(a-b)=a^2-b^2.
[tex]L \cdot W=\frac{ 224}{8}[/tex]
[tex]L \cdot W=28[/tex]