A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1200 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let
w be the width of the field. Do not solve the equation yet.

What is the equation?
(Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field.

The width of the field is how many feet?

The length of the field is how many feet?

Step-by-step explanation:

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[tex]\huge{\purple{\underline{\underline{\bf{\pink{Given}}}}}}[/tex]

It is a parrelogram

[tex]\huge\star{\underline{\mathtt{\red{To}\pink{f}\green{i}\blue{n}\purple{d}\orange{-:}}}}⋆[/tex]

X and Y

Solution

angle a = c. (opposite angles of 11gm is equal)

put the values of and c

x+45 = 3x-13

now take the variables to the l.H.S and number to R.H.S

x-3x = -13-45

-2x. = 58

x. = 58÷2

x. = 29

angle d + c = 180° (cointerior angle)

y + 3(29) + 13 =180°

y + 100 = 180°

y. = 80

Hope it helps

Answer: Jenna did not multiply how much 4 goes into 14 which is 3.5 she should have multiplied 4*3.5=14 and 6*3.5=21

Step-by-step explanation:

so the answer should have been 4/6 is equivalent to 14/21

Multiplication

2, 56, 0, 56, 18, 0, 3, 0, 20, 12

12, 54, 7, 64, 18, 25, 24, 0, 0, 28

14, 8, 6, 24, 35, 9, 27, 48, 40, 1

0, 3, 18, 16, 8, 7, 0, 0, 36, 48

49, 28, 40, 42, 15, 6, 27, 16, 36, 8

0, 32, 81, 4, 30, 0, 0, 9, 32, 10

30, 2, 45, 16, 5, 0, 0, 14, 35, 18

0, 54, 0, 12, 36, 24, 4, 8, 10, 18

72, 6, 63, 12, 0, 21, 0, 24, 63, 0

21, 20, 9, 15, 45, 0, 6, 72, 5, 4

Answer:

Interest for the month = $12.25

Step-by-step explanation:

Given:

Amount in bank = $700

Rate of interest per month = 21% / 12 = 0.0175

Find:

Interest for the month

Computation:

Interest for the month = Amount in bank × Rate of interest per month

Interest for the month = $700 × 0.0175

Interest for the month = $12.25

Answer: 16

Step-by-step explanation:

Answer:

The answer is A) the speed at which the car has traveled

Step-by-step explanation:

Answer:

x² + xy - 6y²

Step-by-step explanation:

FOIL

(x+3y)(x-2y)

F= x²

O= -2xy

I= 3xy

L= -6y²

Add these together = x² + xy - 6y²

Step-by-step explanation:

Hey, there!

Let me simply clear you.

While multiplying algebraic expression, you must be very careful about sign and brackets.

Here,

[tex](x + 3y)(x - 2y)[/tex]

Let's multiply (x-2y) by (x+3y)

[tex] = x(x - 2y) + 3y(x - 2y)[/tex]

[tex] = ({x}^{2} - 2xy) + (3xy - 6 {y}^{2}) [/tex]

Open brackets.

[tex] = {x}^{2} - 2xy + 3xy - 6 {y}^{2} [/tex]

Simplify the like terms.

[tex] = {x}^{2} + xy - 6 {y}^{2} [/tex]

Therefore, the answer is x^2 + xy- 6y^2.

Hope it helps.....

Answer:

in picture

Step-by-step explanation:

Answer:

1) 1

2) (2,3)

3) x⁴

Step-by-step explanation:

1)

We have the expression:

[tex]7x+1[/tex]

The degree of an equation is the largest exponent of the equation.

We can rewrite our expression as:

[tex]=7x^1+1x^0[/tex]

1 is the largest exponent.

Thus, our degree is 1.

2)

We have the system of equations:

[tex]x+y=5\\3x-y=3[/tex]

To solve, we can use substitution.

From the first equation, subtract x from both sides:

[tex]y=5-x[/tex]

Substitute this into the second equation:

[tex]3x-(5-x)=3[/tex]

Simplify:

[tex]3x-5+x=3[/tex]

Add 5 to both sides:

[tex]3x+x=8[/tex]

Combine like terms:

[tex]4x=8[/tex]

Divide both sides by 4:

[tex]x=2[/tex]

So, x is 2.

Substitute this back into the first equation:

[tex]x+y=5[/tex]

Substitute x for 2:

[tex]2+y=5[/tex]

Subtract 2 from both sides:

[tex]y=3[/tex]

Our solution is (2,3)

3)

We have the expression:

[tex]\frac{x^4}{x^0}[/tex]

Anything to the zeroth power (except for 0) is 1. Assuming x is not 0:

[tex]=x^4/1\\=x^4[/tex]

And that's the simplest it can get.

Answer:

[tex]\Huge \boxed{\mathrm{1. \ 1}} \\ \\ \\ \Huge \boxed{\mathrm{2. \ (2,3)}} \\\\\\ \Huge \boxed{{3. \ x^4 }}[/tex]

Step-by-step explanation:

The degree is the largest exponent on the variable.

[tex]7x^1 + 1x^0[/tex]

The largest exponent on the variable is 1.

The degree is 1.

System of equations:

[tex]x+y=5 \\ \\ 3x-y=3[/tex]

Solving y for the first equation.

Subtracting x from both sides.

[tex]y=5-x[/tex]

Substitution method.

[tex]3x-(5-x)=3[/tex]

Distribute negative sign.

[tex]3x-5+x=3[/tex]

Combining like terms.

[tex]4x-5=3[/tex]

Adding 5 to both sides.

[tex]4x=8[/tex]

Dividing both sides by 4.

[tex]x=2[/tex]

Substitution method.

[tex]y=5-2 \\ \\ \\ y=3[/tex]

[tex]\displaystyle \frac{x^4 }{x^0 }[/tex]

Subtract exponents with same bases when dividing.

[tex]x^{4-0}[/tex]

[tex]x^4[/tex]

Answer:

answer choice D

Step-by-step explanation:

CORRECT ANSWER IS D

i believe

Answer:

In exponential form

3.2615 X 10¹

The answer can be seen on the attachment that I have given.

The two equations that represent the remaining angle relationships are (x = 60 - 2(y + z)) and (x = 2z + 20) and this can be determined by using the given data.

Given :

The linear equation that represents the situation "The measure of the largest angle is 60 degrees less than the twice the sum of the measure of the other two angles" is:

x = 60 - 2(y + z)  --- (1)

The linear equation that represents the situation "The largest angle is twice the smaller angle plus 20 degrees" is:

x = 2z + 20  --- (2)

Therefore, the correct option is A) and E).

For more information, refer to the link given below:

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Answer:

Step-by-step explanation:

If A ⊂ B, that is, A is a subset of B

Also, B ⊂ A, that is, B is a subset A

Therefore, A = B in all respect.

A set is a mathematical model for a collection of items. If two sets are subsets of each other, the other relationship they must have is that they both are equal.

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

If there exist two subsets such that A is a subset of B, also, B is the subset of A. Then the two sets are equal or the same.

Hence, If two sets are subsets of each other, the other relationship they must have is that they both are equal.

Learn more about Set:

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Answer:

Find a number that can be divided by both 6 and 9, which is 18. That means they will do laundry on the same day every 18 days.

Answer: 18 Days

Step-by-step explanation:

Let's look at their indivigual schedules for hte nex little While

<-0------6------12---->

t=Tim does laundry every 9 days

<-0---------9---------->

They haven't done laundry on the same day again yet, so let's keep going!

When we keep goin, we see thar the multiple first meet at 18

Ronal

<-0----6----18----27---->

Tim

<-0----9----18----27--->

Mathematically, we say that 18 is the least common multiple of 6 and 9. in math notation this looks like:

lcm (6, 9) = 18

don't give up you got it always stay positive

Answer:

B C D

Step-by-step explanation:

i did the assignment

Answer:

rectangle, triangle,trapezoid

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

f(x)= 18x + 12

Let x = 7

f(7) = 18*7 +12

     = 126+12

     = 138

Answer:

f(7) = 138

Step-by-step explanation:

[tex]f(x)= 18x + 12\\f(7) = ?\\\\f(7) = 18(7) +12\\f(7) = 126+12\\f(7)=138[/tex]

Answer:

find a shorter water-route to Asia.

Step-by-step explanation:

Answer:

  z = {1 +i, 1 -i, -1 +i, -1 -i}

Step-by-step explanation:

Using Euler's formula, you can write this as ...

  z^4 = 4e^(i(π+2kπ))

Then the 4th root is ...

  z = 4^(1/4)e^(i(π/4 +kπ/2)) = √2(cos(π/4+kπ/2) +i·sin(π/4+kπ/2))

for integers k in the range 0 to 3.

  z = √2(±1/√2 ±i·1/√2) . . . signs are independent

  z = ±1 ±i . . . . . . signs are independent; hence 4 solutions

  z = {1 +i, 1 -i, -1 +i, -1 -i}

_____

Comment on roots of complex numbers

In the complex domain, each number has a number of roots equal to the index of the root. That is, there are four 4th roots. They all have the same magnitude, but their angles are separated by 360°/(root index) = 90°. Here, the principal fourth root of 4∠180° is 4^(1/4)∠(180°/4) = √2∠45° = 1+i.

Adding 90° is equivalent to multiplying by i, so the other 3 roots are √2∠135° = -1+i, √2∠225° = -1 -i, and √2∠315° = 1 -i.

 z = {1 +i, 1 -i, -1 +i, -1 -i}

Answer:

749.95+ 44.997 *or 45.00 giving 794.95

Answer:

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is [tex](x-1)^{2}+(y+2)^{2}+(z-4)^{2} = 30[/tex].

Step-by-step explanation:

There are two kew parameters for a sphere: Center ([tex]h[/tex], [tex]k[/tex], [tex]s[/tex]) and Radius ([tex]r[/tex]). The radius is the midpoint of the line segment between endpoints. That is:

[tex]C(x,y,z) = \left(\frac{-9+11}{2},\frac{-12+8}{2},\frac{-6+14}{2} \right)[/tex]

[tex]C(x,y,z) = (1,-2,4)[/tex]

The radius can be found by halving the length of diameter, which can be determined by knowning location of endpoints and using Pythagorean Theorem:

[tex]r = \frac{1}{2}\cdot \sqrt{(-9-11)^{2}+(-12-8)^{2}+(-6-14)^{2}}[/tex]

[tex]r = 10\sqrt{3}[/tex]

The general formula of a sphere centered at (h, k, s) and with a radius r is:

[tex](x-h)^{2}+(y-k)^{2}+(z-s)^{2} = r^{2}[/tex]

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is [tex](x-1)^{2}+(y+2)^{2}+(z-4)^{2} = 30[/tex].

Answer:

Because the base of this expression is not same.

Answer:

B. (13-6) n - 55

Step-by-step explanation:

The number of shirts to be sold is n

The cost to purchase one shirt is $13

The cost of making each shirt is $6

Let's assume the shirt is one

Profit for a Shirt = (13-6)

But then there are no number of shirts

Profit= (13-6)n

But then also, an advert was run for the total shirts combined

Profit= (13-6)n -55

Answer:

b. (13-6)n-55

ap3x

Answer:

(0,3)

Step-by-step explanation:

You need to pick a point, P, that will give you a distance from A to P that is twice as long as from P to B, or ration 2:1

Point A is (-2,-7), point B is (1,8), and I picked (0.3) because it looked like it could be, but now we need to test it.

Distance formula is:

[tex]d=\sqrt{(x_{2}-x_{1})^{2} + {(y_{2}-y_{1})^{2} } \\[/tex]

So AP would be

[tex]AP=\sqrt{(0--2)^{2} + {(3--7)^{2} } \\[/tex]

[tex]AP=\sqrt{(2)^{2} + {(10)^{2} } \\[/tex]

Do the same with PB, and you will find it's 5.1, giving an approximate ratio of 2:1.

Answer:

Two other names for WQ are QW and line g.

Step-by-step explanation:

A line can have as many points as possible. The two other names for WQ are QW and line g

From the given plane, we can observe the following:

This means that, we can rename WQ as

Hence, the two other names for WQ are QW and line g

Read more about points and lines at:

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Answer:

The absolute maximum and minimum of [tex]f(x) = 5 + 54\cdot x -2\cdot x^{3}[/tex] on [tex][0,4][/tex] are 113 and 5.

Step-by-step explanation:

Let be [tex]f(x) = 5 + 54\cdot x -2\cdot x^{3}[/tex], the first and second derivatives of the function are, respectively:

[tex]f'=54-6\cdot x^{2}[/tex]

[tex]f''=-12\cdot x[/tex]

Now, let equalize the first derivative to zero and solve the resulting expression:

[tex]54-6\cdot x^{2} = 0[/tex]

[tex]x^{2} = 9[/tex]

[tex]x =\pm 3[/tex]

According to the given interval, only [tex]x=3[/tex] is a valid outcome. Lastly, this is evaluated in the second derivative expression:

[tex]f''=-12\cdot(3)[/tex]

[tex]f'' = -36[/tex]

[tex]x = 3[/tex] leads to an absolute maximum.

[tex]f(3) = 5 + 54\cdot (3) -2\cdot (3)^{3}[/tex]

[tex]f(3) = 113[/tex]

The absolute minimum is determined by evaluating at each extreme of the interval:

[tex]x = 0[/tex]

[tex]f(0) = 5 + 54\cdot (0) -2\cdot (0)^{3}[/tex]

[tex]f(0) = 5[/tex]

[tex]x = 4[/tex]

[tex]f(4) = 5 + 54\cdot (4) -2\cdot (4)^{3}[/tex]

[tex]f(4) = 93[/tex]

The absolute maximum and minimum of [tex]f(x) = 5 + 54\cdot x -2\cdot x^{3}[/tex] on [tex][0,4][/tex] are 113 and 5.

Answer:

[tex]4x^3-7x^2-23x-10[/tex]

Step-by-step explanation:

So we have the expression:

[tex](4x+5)(x^2-3x-2)[/tex]

Distribute. Multiply (4x+5) to each term:

[tex](x^2)(4x+5)+(-3x)(4x+5)+(-2)(4x+5)[/tex]

Distribute:

[tex]=(4x^3+5x^2)+(-12x^2-15x)+(-8x-10)[/tex]

Combine like terms:

[tex]=(4x^3)+(5x^2-12x^2)+(-15x-8x)+(-10)[/tex]

Add and simplify:

[tex]=4x^3-7x^2-23x-10[/tex]

And this is in descending order, so it's in standard form.

Answer:

θ = 5π/6 rad and 11π/6 rad

Step-by-step explanation:

Given the expression cotθ+√3=0

Subtract √3 from both sides

cotθ+√3-√3=0-√3

cotθ = -√3

Since cotθ = 1/tanθ

1/tanθ = -√3

Reciprocate both sides:

tanθ = -1/√3

θ = tan^-1(-1/√3)

θ = -30°

Since the angle is negative, and tanθ is negative in the second and fourth quadrant.

In the second quadrant;

θ = 180-30

θ = 150°

Since 180° = πrad

150° = 150π/180

150° = 5π/6 rad

In the fourth quadrant;

θ = 360-30

θ = 330°

Since 180° = πrad

330° = 330π/180

330° = 11π/6 rad

Hence the solutions are 5π/6 rad and 11π/6 rad.

Answer:

Square Root 34

Step-by-step explanation:

Answer:

[tex]\sqrt{34}[/tex]

Explanation:

sub in the values for x1, x2, y1 and y2

[tex]\sqrt{(-2-3)^2+(2-(-1))^2}[/tex]

subtract and evaluate

= [tex]\sqrt{(-5)^2+3^2}[/tex]

= [tex]\sqrt{25+9}[/tex]

= [tex]\sqrt{34}[/tex]