A perfect square means that the given value is the result of the multiplication of an integer with itself, for example 2*2=4 →√
Please help me on this and show the steps I really need help understanding this and I don’t know how to do it and im stressed so please help!
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For the given isosceles triangle LMK, the distance between the points L and K is found as 5 units.
What is defined as the distance formula?The Euclidean distance equation is another name for the distance formula used to calculate the distance between two in a two-dimensional plane.For the given question,
The coordinates of the points L and K taken from the graph are-
L = (-7, 4)
K = (-4, 8)
The distance between the points are found by the distance formula given as;
d = √(x₂ - x₁)² + (y₂ - y₁)²
Where x and y are the respective coordinates of two given points.
put the value;
LK = √(-4 + 7)² + (8 - 4)²
LK = √(3)² + (4)²
LK = √25
Taking square root both sides.
Lk = 5 units.
Thus, for the given isosceles triangle LMK, the distance between the points L and K is found as 5 units.
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12. Find the midpoint ofsegment JK shown in thegraph. What is the x-value ofthe midpoint?
SOLUTION
Given the question, the following are the solution steps to find the midpoint of the segment JK
Step 1: Write the points of the line
[tex]\begin{gathered} (x_1,y_1)=(-4,4) \\ (x_2,y_2)=(5,-5) \end{gathered}[/tex]Step 2: Write the formula for finding the midpoint of segment JK
[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1_{}+y_2}{2})[/tex]Step 3: Calculate the midpoints by substituting the values in step 1 into the formula in step 2
[tex]\begin{gathered} (x_m,y_m)=(\frac{-4+5}{2},\frac{4+(-5)}{2}) \\ (x_m,y_m)=(\frac{1}{2},-\frac{1}{2}) \end{gathered}[/tex]Hence, the x-value of the midpoint will be the x-coordinate which is 1/2
Please help me I would appreciateeeeeeeeeeeeee
The value of the variable x in first figure will be 15.
The value of the variable x in second figure will be 20.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
There are two figure is shown in figure.
Now,
In first figure;
The sum of all the interior angle in a triangle is 180°.
So, We can formulate;
⇒ (6x - 10)° + (2x + 20)° + (3x + 5)° = 180°
Solve for x as;
⇒ (6x - 10)° + (2x + 20)° + (3x + 5)° = 180°
⇒ 6x - 10 + 2x + 20 + 3x + 5 = 180°
⇒ 11x + 15 = 180
⇒ 11x = 180 - 15
⇒ 11x = 165
⇒ x = 15
Thus, The value of the variable x in first figure will be 15.
For second figure;
We can formulate by the corresponding angle of the parallel lines as;
⇒ x + 50 = 70
⇒ x = 70 - 50
⇒ x = 20
Thus, The value of the variable x in second figure will be 20.
Therefore,
The value of the variable x in first figure will be 15.
The value of the variable x in second figure will be 20.
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A person chooses 2 gumdrops from a jar containing only 4 gumdrops. The gumdrops are flavored apple, peach, grape, andstrawberry. Find the set representing the event E that the strawberry is chosen first.
Given
Flavored:
A: Apple
P: Peach
G: Grape
S: Strawberry
Procedure
Combinatios
[tex]\mleft\lbrace SA,SG,SP\mright\rbrace[/tex]Write the quadratic equation in Standard From whose graph has the following: x-intercepts: -3, 0 passes through the point (2, 10)
The standard form of the quadratic equation is 6y = 5x² + 17x + 6.
What is the quadratic equation?
A quadratic equation is an equation such that there is a quadratic polynomial.
Given that the x-intercept is (-3,0). The graph passes through the point (2, 10).
Assume that the equation is y = ax² + bx + 1.
Putting x = -3 and y = 0 in y = ax² + bx + 1:
0 = a×(-3)² + b×(-3) + 1
9a - 3b + 1 = 0 ....(i)
Putting x = 2 and y = 10 in y = ax² + bx + 1:
10 = a×(2)² + b×(2) + 1
4a + 2b - 9 = 0 ....(ii)
Multiply 2 with (i) and 3 with (ii), then add them:
18a - 6b + 2 + 12a + 6b - 27 = 0
30a - 25 = 0
a = 5/6
Putting a = 5/6 in 9a - 3b + 1 = 0:
9×(5/6) - 3b + 1 = 0
15/2 - 3b + 1 = 0
17/2 = 3b
b = 17/6
Putting the value of a and b in y = ax² + bx + 1:
y = (5/6)x² + (17/6)x + 1
6y = 5x² + 17x + 6
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Write the equation of the line shown in slope-intercept form.у6543212X9 1034-56 78-3 -2 -1-1-2190 Tutorial
slope of intercept from the equation of line is
[tex]\begin{gathered} y=mx+c \\ \text{where c is the intercept part of y} \\ c=1 \\ l\in e\text{ cuts y-a}\xi s\text{ at 1} \\ so\text{ point (0,1)} \\ and\text{ cut on 2nd place at 3 on x-a}\xi s \\ so\text{ point is (3,0)} \\ slope(m)=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0-1}{3-0} \\ m=-\frac{1}{3} \\ \text{equation of line is} \\ y=-\frac{1}{3}x+1 \end{gathered}[/tex]It is Nadine’s birthday, and she is making walnut brownies for her sleepover. She invited eight of her friends to her party. The recipe that she is using makes twenty-four brownies, but she only wants to make eight. The recipe for twenty-four calls for \large 4\frac{1}{2} cups of walnuts. How many cups of walnuts will she need for eight people?
1 1/2 cups of walnuts she will need for eight people.
In the given question,
It is Nadine’s birthday, and she is making walnut brownies for her sleepover.
She invited eight of her friends to her party.
The recipe that she is using makes twenty-four brownies, but she only wants to make eight.
The recipe for twenty-four calls for [tex]4\frac{1}{2}[/tex] cups of walnuts.
We have to find how many cups of walnuts she needs for eight people.
From the question we know that the recipe that she is using makes twenty-four brownies.
For making twenty-four brownies she needs [tex]4\frac{1}{2}[/tex] cups of walnuts.
We can write [tex]4\frac{1}{2}[/tex] in simplified form by multiplying the 4 by 2 then add the result of multiplying 4 by 2 to 1.
So [tex]4\frac{1}{2}[/tex] = 9/2
24 brownies = 9/2 cups of walnuts
So 1 brownies = (9/2)/24 cups of walnuts
We can write it as
1 brownies = 9/2×1/24 cups of walnuts
Simplifying
1 brownies = 9/48 cups of walnuts
Since she have to make eight brownies.
So 8 brownies = 9/48×8 cups of walnuts
Simplifying
8 brownies = 9/6 cups of walnuts
8 brownies = 3/2 cups of walnuts
8 brownies =1 1/2 cups of walnuts
Hence, 1 1/2 cups of walnuts she will need for eight people.
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Find the slope of a line that contains the points A(−8,3)and B(−4,6)
Answer:
You have to use the formula:
(y-y1)/(y2-y1) =(x-x1)/(x2-x1). So draw a graph and place the points A and B on the Graph, then put the numbers in the formula. A(-8=x1, 3= y1), B(-4=x2,6=y2). You will get the formula and consequently the slope.
Solve the system of equation algebraically: y = 2x2 - 5x + 10 and y = 2x + 5.
In order to solve the system of equations, let's equate both values of y and solve for x using the quadratic formula:
[tex]\begin{gathered} 2x^2-5x+10=2x+5\\ \\ 2x^2-5x-2x+10-5=0\\ \\ 2x^2-7x+5=0\\ \\ a=2,b=-7,c=5\\ \\ x=\frac{-b±\sqrt{b^2-4ac}}{2a}\\ \\ x=\frac{7±\sqrt{49-40}}{4}\\ \\ x_1=\frac{7+3}{4}=\frac{10}{4}=\frac{5}{2}\\ \\ x_2=\frac{7-3}{4}=\frac{4}{4}=1 \end{gathered}[/tex]Now, let's calculate the values of y for each value of x:
[tex]\begin{gathered} x=\frac{5}{2}:\\ \\ y=2x+5=5+5=10\\ \\ \\ \\ x=1:\\ \\ y=2x+5=2+5=7 \end{gathered}[/tex]Therefore the solutions are (1, 7) and (5/2, 10).
Correct option: second one.
What is the domain of the radical function shown on the graph?
y
-10
y=-x-2-4
A.
all real numbers
B. (XIX50)
+10
2
-6
-8
--10-
Answer:
A
Step-by-step explanation:
the function is in all the graph from left to right
write each number using the root symbol
25^2/5
7^5/7
rationalize each denominator
[tex]\frac{1}{5\sqrt{3} \sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{5} \sqrt[3]{5} }[/tex]
Answer:
See attached image
Step-by-step explanation:
Bruce and his friends have a half-day at school, so they plan to spend the afternoon paddleboarding at Lake Evergreen. They want to spend the rest of the day on the water, but it starts to rain after paddleboarding for only
3/4
of an hour! Bruce is disappointed when he realizes the sun doesn't go down for another
3 1/2
hours.
Use an equation to find the amount of time Bruce planned to spend paddleboarding.
To write a fraction, use a slash ( / ) to separate the numerator and denominator.
hours
In linear equation, Jen planned to spent 3.75 hours paddleboarding.
What is a linear equation example?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts of an equation in this format is rather simple (x and y).She spent 3/4 of an hour paddleboarding.
The sun doesn't go down for another 4 hours.
= 3 + 3/4
= 12 + 3/4
= 15/4
= 3.75 hours
Jen planned to spent 3.75 hours paddleboarding.
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What terms can be combined with a^2
Answer:
a^4 with a^2
Step-by-step explanation:
what is the slope of the graph of y=12x -19
Answer:
12 is the slope of the graph!
Step-by-step explanation:
y=mx+b
m represents the slope
So, 12 is your slope in the graph
b represents the y-intercept
So, -19 is your y-intercept in the graph
Therefore, your answer to your question the slope is 12.
Hope this helps!
Jennifer Lopez met her 10 cousins at a family reunion. The number of male cousins (x) is 2 less than the number of female cousins (y). How many (male,female) cousins were there? (not including Jennifer)
Answer:
Explanation:
Given that Jennifer Lopez has 10 cousins
The number of male cousins is x
The number of female cousins is y
Since x is 2 less than y, we have:
x = y + 2 ...............................................................................(1)
The total number of cousins is 10, we have:
x + y = 10 ..............................................................................(2)
Substituting equation (1) in (2)
(y + 2) + y = 10
y + y + 2 = 10
2y + 2 = 10
Subtract 2 from both sides
2y = 10 - 2
2y = 8
Divide both sides by 2
y = 8/2 = 2
Substitute the value of y into (1)
x = 2
The gold bracelet weighs 70 kg. It is made from 76% gold and 24% aluminium. Find themass of gold in bracelet. Also find the mass of aluminium.
Given:
The gold bracelet weighs 70 kg.
It contains 76% gold and 24% aluminium.
To find:
The mass of gold and aluminium.
Explanation:
The mass of gold will be,
[tex]\frac{76}{100}\times70=53.2kg[/tex]The mass of aluminium will be,
[tex]\frac{24}{100}\times70=16.8kg[/tex]Final answer:
The mass of gold is 53.2kg and the mass of aluminium is 16.8kg.
I need an answer pleaseee hurry
It’s geometry
Answer:
Angle 1: 115 degrees
Angle 2: 72 degrees
Angle 3: 57 degrees
Angle 4: 18 degrees
Angle 5: 122 degrees
Step-by-step explanation:
Note: I won’t be finding the angles in order
Angle 3 plus 33 is a right angle which is 90 degrees
So we subtract
90-33=57
Angle 3: 57 degrees
Now angle 2 can be found because a triangle sum of all three angles is 180 degrees
We know 2 75 degrees and 33 so we can add them
75+33=108
Now subtract from 180
180-108=72
Angle 2 is 72 degrees
we can find angle 1 by first finding the missing angle next to it in the triangle
75+40=115
180-115=65
Now we can subtract 65 from 180 to find angle 1
180-65=115
Angle 1 is 115 degrees
Next to find angle 4 we have to find the other missing angle since we already know angle 3 is 57 degrees
The missing angle we just subtract 75 from 180 since the angles are next to each other on a flat plane
180-75=105
And now we add the 2 angles we know
105+57=162
Now subtract from 180
180-162=18
Angle 4 is 18 degrees
Now angle 4 and angle 5 plus 40 degrees is equal to 180 degrees
To find angle 5 we add 40 degrees and 18
40+18
58
Now subtract from 180
180-58
122
Angle 5 is 122 degrees
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7 less than the quotient of a number X and twelve is five times the number which answer represents the situation
Given that:
7 less than the quotient of a number X and twelve is five times the number
The quotient is the result after dividing one number by another.
Therefore,
7 less than the quotient of a number X and 12 =
[tex]\frac{X}{12}\text{ - 7}[/tex]Is five times the number:
[tex]\frac{X}{12}-7\text{ = 5X}[/tex]ANSWER:
[tex]\frac{X}{12}-7\text{ = 5X}[/tex]What is the quotient (x2 + 10x + 9) ÷ (x + 9)? (1 point)
x − 9
x − 1
x + 1
x + 9
(x2 + 10x + 9) ÷ (x + 9) The quotient is x + 1.
The correct option is (C)
Given,
In the question:
([tex]x^{2}[/tex] + 10x + 9) ÷ (x + 9)
To find the what is the quotient ?
What is the quotient?
The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.
Now, According to the question:
x + 1
≡[tex]x + 9\sqrt{x^{2}+10x +9 }[/tex]
[tex]x^{2}[/tex] + 9x
- -
-------------------------
x + 9
x + 9
---------------
0
Hence, (x2 + 10x + 9) ÷ (x + 9) The quotient is x + 1.
The correct option is (C) .
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In the diagram, what is the relationship between segments AC and BC? Explain your answer.
In the diagram the relationship between AC and BC is that they are the hypotenuse if the right angle triangles ADC and BDC and they are equal
What is a hypotenuse?The longest side in a right triangle is called the hypotenuse. In a right triangle, it is the side opposite the right angle.
The right triangle's hypotenuse is longer than its other two sides
When a perpendicular bisector (CD) bisects a line (in this case AB) the hypotenuse formed in the process are equal
The base and the perpendicular side, are related in accordance with the Pythagoras theorem. The square of the hypotenuse of a right triangle is the sum of the squares of its base and perpendicular side.
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pleeeeeese help me solve
Substitution means that the equation which solves for one variable by using the other equation and the values of the variable [tex](x,y)=(29,53)[/tex]
What is substitution?
A strategy for solving systems of equations that includes solving for one variable and using that solution to find the other variable.
Here the given linear equation is
[tex]y=3x-34 \\\\y=2x-5[/tex]
From the equation [tex](1)[/tex] , [tex](2)[/tex], we get
[tex]y-3x=-34 .....(1)\\\y-2x=-5 ......(2)[/tex]
And the graphical representation is of the form:-
In an equation [tex](2)[/tex], we get
[tex]y=2x-5[/tex]
Put the value [tex]y[/tex] in the equation [tex](1)[/tex], and we get
[tex](2x-5)-3x=-34\\2x-5-3x=-34\\-x-5+34=0\\-x+29=0\\x=29[/tex]
Now, substituting the value of [tex]x[/tex] in the equation [tex](2)[/tex], we get
[tex]y=2x-5\\y=2(29)-5\\y=58-5\\y=53[/tex]
Hence, the values are of the form:-
[tex](x,y)=(29,53)[/tex]
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find the perimeter and area
Answer:
P=22 a=30
Step-by-step explanation:
a= L x W
6x5=30
the right side is the same size as the top line so both are 5.
Perimeter is adding every number, and the line between 3 and 2 is smaller than both so it would equal less, 1.
5+5+6+2+3+1
A food truck caters an event attended by 100 guests. Every guest orders one of two possible dishes: a salad or a turkey plate. The price of each meal decreases as more of that particular type are ordered. The price of a salad is $10.00 minus $0.06 for each salad ordered. The price of a turkey plate is $12.00 minus $0.02
multiplied by the square of the number of turkey plates ordered. Guests pay for their meal only after everyone has placed their order.
Using differentiation, find the maximum revenue for the food truck.
Remember that the number of meals is a positive integer. Round revenue to the nearest cent.
The Maximum Revenue, R for the food truck will be $528.056.
What is termed as maximum value?Maximum revenue is the highest value of a function within a given set of ranges. The maximum value of the function under the entire range is known as the absolute maxima, and the minimum value is recognized as the absolute minima.
Total Guests = 100
Each guest orders 1 of 2 dishes
Salad price = $10 - 0.06x
Turkey price = $12 - 0.02y²
So x + y = 100S = 10 - 0.06x
T = 12 - 0.02y²
Revenue = sx + ty
Revenue = (10 - 0.06x)x + (12 - 0.02y²)y
y = 100 - x
Therefore, Revenue = (10 - 0.06x)² + (12 - 0.02*(100 - x)²)*(100 - x)
R = 10x - 0.06[tex]x^{2}[/tex] + (12 - 0.02*(10000 - 200x + x²))*(100 - x)
R = 10x - 0.06[tex]x^{2}[/tex] + (12 - 200 + 4x -0.02x² )*(100 - x)
R = 10x - 0.06[tex]x^{2}[/tex] + (-188 + 4x -0.02 x² )*(100 - x)
R = 10x - 0.06[tex]x^{2}[/tex] + (-188 + 4x -0.02x² )*100 -x (-188 + 4x -0.02x²)R = 10x - 0.06[tex]x^{2}[/tex] + -18800 + 400x -2x² -x (-188 + 4x -0.02x²)
R = 10x - 0.06[tex]x^{2}[/tex] + -18800 + 400x -2x² + 188x - 4x² +0.02x³ R = 10x - 0.06[tex]x^{2}[/tex] + -18800 + 588x -6x² + 0.02x³
R = -18800 + 598[tex]x[/tex] - 6.06[tex]x^{2}[/tex] + 0.02[tex]x^{3}[/tex]
Using differentiation,dR/dx = 598 - 12.12x + 0.06x²
Equating to zero,598 - 12.12x + 0.06x² = 0Dividing both sides by 2, we have:299 - 6.06x + 0.03x² = 0x = -(-6.06)/(2*0.03) + root((-6.06)² - 4*0.03*299) / 2*0.03x = 101 - root(36.7236 - 35.88) / 0.06x = 101 - 14x = 86.94 ≅ 87
Therefore, when you sell 87 salad plates and 13 turkey dishes, that is where you will make Revenue.
Revenue = (10 - 0.06*87)*87 + (12 - 0.02(13)²)*13
Revenue = 416 + 112
R ≅ $528
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what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates
what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates
to know the decimal form, just make the division
Step 1
[tex]\begin{gathered} \frac{100}{3} \\ \frac{100}{3}=100\text{ divide by 3} \\ \text{operate} \\ 100\text{ divide by 3 = 33 and 1 to left} \\ \end{gathered}[/tex]every time you divide you will have a residual number (1),
so
100=(33*3)+1
when you divide the 1 by 3, you will have
1=(3*0.3)+0.1
and
10=3*3 +1
,so the 3 will repeat forever
Step 2
[tex]\begin{gathered} \frac{100}{5}=20 \\ \end{gathered}[/tex]so the decimal form of 100/5 is 20
Step 3
[tex]\frac{100}{6}[/tex][tex]\frac{100}{6}=16.66[/tex]when you divide 100 by 6 you have
[tex]\begin{gathered} 100=(16\cdot6)+4 \\ 100=96+4 \\ 16\text{.} \\ \text{and} \\ \frac{4}{6}=0.666 \\ so\text{ , the answer is } \\ \frac{4}{6}+16=16.6666 \\ \end{gathered}[/tex]I hope it helps you.
Please help it’s prb easy for u !!!!!!!!
Answer: The square
Step-by-step explanation:
The square has a 90 degree angle which is a right angle. Also all sides have the same length
A rectangular paperboard measuring 25 in long and 16 in wide has a semicircle cut out of it, as shown below.Find the area of the paperboard that remains. Use the value 3.14 for IT, and do not round your answer. Be sure to include the correct unit in your answer
To answer this question we will use the following diagram as a reference:
The semicircle's radius is 8in.
Notice that the area of the paperboard that remains is the area of the rectangular paper board minus the area of the semicircle.
The semicircle's area is:
[tex]A_s=\frac{\pi(8in)^2}{2}=\frac{64\pi}{2}in^2=32\pi in^2\approx100.48in^2.[/tex]The rectangle's area is:
[tex]A_r=16in*25in=400in^2.[/tex]Then the area of the paperboard that remains:
[tex]\begin{gathered} A=400in^2-100.48in^2 \\ =299.52in^2. \end{gathered}[/tex]Answer:
[tex]299.52in^2.[/tex]One spring day, Evan noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 58° F. For the next 3 hours, the temperature rose 1° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. On the set of axes below, graph Evan's data.
The graph of the Evan's data is attached below.
Dylan noted the time of day and the temperature, in degrees Fahrenheit, and his findings are as follows: At 6 a.m., the temperature was 58° F. For the next 3 hours, the temperature rose 1° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. The data points are in the form of time and temperature. The data points are 6 AM = 58, 7 AM = 59, 8 AM = 60, 9 AM = 61, 10 AM = 63, 11 AM = 65, 12 PM = 67, 1 PM = 69, 6 PM = 69, 7 PM = 67, 8 PM = 65, 9 PM = 63, and 12 AM = 62.
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Which expression represents the greatest common factor (GCF) of 20 and 70?
A. 2 x 5
B. 2 x 7
C. 7 x 5
D. 2 x 2 x 5
Answer:
A. 2 * 5
Step-by-step explanation:
The factors of 20 are: 1, 2, 4, 5, 10, 20
The factors of 70 are: 1, 2, 5, 7, 10, 14, 35, 70
Then the greatest common factor is 10.
2 * 5 = 10
Ursula has a cylinder and a cone that have the same height and radius. Which ratio compares the volume of the cone to the volume of the cylinder? О 1 to 3 01 to 2 O 2 to 1 O 3 to 1
Answer
The ratio of the volume of a cone to that of a cylinder is 1 to 3
Explanation
The volume of a cone is given as
Volume of a cone = ⅓πr²h
The volume of a cylinder is given as
Volume of a cylinder = πr²h
The ratio of the volume of a cone to that of a cylinder is now
Volume of a cone : Volume of a cylinder
⅓πr²h : πr²h
Divide both sides by πr²h and we have
⅓ : 1
Multiply both sides by 3 and we have
1 : 3
Hope this Helps!!!
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: Width = 4.7 meters, Length = 6.7 meters
Step-by-step explanation:
Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].
[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]