I NEED HELP PLEASE AND THANK YOU!!!!

I NEED HELP PLEASE AND THANK YOU!!!!
I NEED HELP PLEASE AND THANK YOU!!!!
I NEED HELP PLEASE AND THANK YOU!!!!

Answers

Answer 1

Answer:

1) 9/cos(θ)

2)4[tex]\sqrt{3}[/tex](cos(198) +isin(198))

3)z= cos(π/3) +isin(π/3)

Step-by-step explanation:

x=9

i.e. x= 9 +i0

θ= tan^-1 (0/9)

θ= tan^-1 (0)

=0

hence z= r(cosθ +i sinθ)

            = 9(cos 0 + isin 0)

            = 9

As cos (0) = 1 hence polar form of x=9 is 9/cos(θ) where θ=0

2)

Given

z1=2[tex]\sqrt{3}[/tex]( cos(116)+isin(116))

z2=2(cos(82)+isin(82))

As per the product formula od complex polar numbers:

z1.z2= r1.r2(cos(θ1+θ2) +isin(θ1+θ2) )

Putting the values

          = 4[tex]\sqrt{3}[/tex](cos(198) +isin(198))

3)

z= 1/2 + i[tex]\sqrt{3}[/tex]/2

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

r = [tex]\sqrt{1/4 +3/4} \\\sqrt{4/4}\\\sqrt{1}[/tex]

r=1

θ= tan^-1 [tex](\sqrt{3}/2 ) / (1/2)[/tex]

= tan^-1[tex]\sqrt{3}[/tex]

=60

=π/3

hence

z= cos(π/3) +isin(π/3) !


Related Questions

Data set B: 87, 90, 77, 83, 99, 94, 93, 90, 85, 83 Find the MEDIAN

Answers

Answer: 88.5

Step-by-step explanation:

First you need to order the data set from least to greatest:

So,

77,83,83,85,87,90,90,93,94,99

Then you find the middle number, in this case it's 87 and 90.

Because there is two middle numbers in the data set, you need to find the average between those numbers.

The average between 87 and 90 is 88.5.

Hope this helps :)

The median of the Data set B: {87, 90, 77, 83, 99, 94, 93, 90, 85, 83} is 88.5.

What is Median?

Median is the mid-value of the given data set when the set of the data is properly arranged.

The value of the data set is {87, 90, 77, 83, 99, 94, 93, 90, 85, 83}, now rearranging the set we will get,

77, 83, 83, 85, 87, 90, 90, 93, 94, 99

As we can see that the number of data points in the set is 10, therefore, the value of the median is the arithmetic average of the 5th and the 6th term,

[tex]\text{The average of the 5^{th} and the 6^{th} value}=\dfrac{87 + 90}{2} = 88.5[/tex]The average of the 5th and 6th = (87+90)/2 = 88.5

hence, the median of the Data set B: {87, 90, 77, 83, 99, 94, 93, 90, 85, 83} is 88.5.

Learn more about Median:

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In how many ways can a committee of 4 be chosen from a group of 9 people? 36 126 3,024

Answers

Answer:

the answer is 126!

Step-by-step explanation:

i worked it out myself, and got it correct! have a great day :)

There are 126 ways can a committee of 4 be chosen from a group of 9 people, the correct option is B.

What is the combination?

The solution is obtained through a combination where we choose "r of n", where r is the amount of things we choose and n the total number of things that can be chosen.

The combinations form uses factorial numbers. This is the formula:

[tex]\rm ^nC_r=\dfrac{n!}{(n-r)!r!}[/tex]

Where the value of n is 9 and r is 4.

The number of ways can a committee of 4 be chosen from a group of 9 people is;

[tex]\rm ^nC_r=\dfrac{n!}{(n-r)!r!}\\\\\rm ^9C_4=\dfrac{9!}{(9-4)!4!}\\\\ ^9C_4=\dfrac{9!}{5!4!}\\\\ ^9C_4=\dfrac{9\times 8 \times 7 \times 6 \times 5!}{5!\times 4\times 3\times 2\times 1}\\\\ ^9C_4=\dfrac{3024}{24}\\\\ ^9C_4=126[/tex]

Hence, there are 126 ways can a committee of 4 be chosen from a group of 9 people, the correct option is B.

Learn more about combination here;

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HELP!
LOOK AT IMAGES BELOW

Answers

Answer:

D)y-intercept of f(x) is greater than the y-intercept of g(x)

Step-by-step explanation:

Y-intercept is the point y-coordinate value on graph where graph line intersects the y-axis and the value of x coordinate on x-axis is zero at that point.

From the given graph of f(x), it can be seen that

y-intercept of f(x) is 2

For the given function g(x)

finding y-intercept

when x=0

y=-3

because g(x) = 3 for 1<x≤3

As 2>-3

hence y-intercept of f(x)>g(x) !

How do i solve this with steps
5x+5(x−3y)+12(4x−6y)

Answers

Expand

5x + 5x - 15y + 12 (4x - 6y)

Expand

5x + 5x - 15y + 48x - 72y

Collect like terms

(5x + 5x + 48x) + (-15y - 72y)

Simplify

= 58x - 87y

what is the value of x?​

Answers

Answer:

x = 14

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value of sin45°

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]

Hence

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex]

Multiply both sides by x

x × sin45° = 7[tex]\sqrt{2}[/tex] ( divide both sides by sin45° )

x = [tex]\frac{7\sqrt{2} }{sin45}[/tex]

  = [tex]\frac{7\sqrt{2} }{\frac{\sqrt{2} }{2} }[/tex]

  = 7[tex]\sqrt{2}[/tex] × [tex]\frac{2}{\sqrt{2} }[/tex] = 7 × 2 = 14

Suppose Henry is laying on the ground looking up at the sun that appears just over the top of a tree at
an angle of elevation of 32°. He is located 20 meters away from the base of the tree. How tall is the
tree? Round to the nearest meter.

Answers

Answer:

Good day! Use trigonometry to define the formula.

Step-by-step explanation:

The height of the tree that the sun appears just over it top is 12 meters

The situation forms a right angle triangle.

The height of the tree is the opposite side of the triangle.

His distance away from the base of the tree is the adjacent side of the right angle triangle.

Therefore,

Using trigonometric ratio,

tan 32 = opposite / adjacent

tan 32 = h / 20

cross multiply

height of the tree = 20 tan 32

height of the tree = 20 × 0.6248693519

height of the tree = 12.4973870382

height of the tree ≈ 12 meters

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Which statement best describes the association between variable X and variable Y?

Moderate negative association

Perfect positive association

Moderate positive association

Perfect negative association

Answers

Answer:

Perfect positive association

Step-by-step explanation:

Definition: A perfect positive association means that a relationship appears to exist between two variables, and that relationship is positive 100% of the time. Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase. (+1 indicates a perfect positive linear relationship)

Definition: A perfect negative association means that a relationship appears to exist between two variables, and that relationship is negative 100% of the time. Two variables have negative association when the values of one variable tend to decrease as the values of the other variable increase. (-1 indicates a perfect negative linear relationship)

Values between 0.3 and 0.7 (-0.3 and -0.7) indicate a moderate positive (negative) linear relationship.

From the graph we can see that this relationship shows perfect positive association (both variables increase and we can plot the straight line which will include all points)

Answer:

perfect positive

Step-by-step explanation:

Question is shown below.

Answers

ANSWER

D. 4 minutes 40 seconds

EXPLANATION

The given data set showing the number of seconds of each song the playlist is:

283,204,198,229,173,230,168,236,215,204

Let the length of the 11th song be x.

Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.

[tex] \frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11} = 220[/tex]

[tex] \frac{2140 + x}{11} = 220[/tex]

[tex]2140 + x = 2420[/tex]

[tex]x = 2420 - 2140[/tex]

[tex]x = 280[/tex]

We convert 280 seconds to minutes.

[tex] \frac{280}{60} = 4 \frac{2}{3} = 4mins : 40 sec[/tex]

The correct choice is D

How do you get to 2,982 using 42 + something?

Answers

Answer:

2940

Step-by-step explanation:

Hello There!

To Solve This Equation, I Would Not Use Addition Till The Very End.

Remember, 42 + Something Equals 2,982.

That is The Same As Subtracting 42 From 2,982

2,940 Is Your Answer.

Susana bought a laptop for $500. It was marked $50 off because it was out of the box and slightlly scratched. She also got 20% student discount, which was taken off the original price. What was the original peice of the laptop? Write and solve an equation to answer the question

Answers

20% of $500 = 100$ so we take off 100.

And we take off $50 because it was out of the box and slightly scratched.

So result is $500 - $100 = $400
$400-$50 = $350

Answer = $350

Equation:
Let’s say
500=X
100=Y
50=Z
And answer = A

A=X-(Y-Z)

I hope this will be helpful

Answer: 500*20%=100-50=50

Step-by-step explanation:

500*20%=100-50=50

What is the volume of each solid figure made of 1-inch cubes? What is the correct unit of measure?

Answers

Answer:

a is 12 inches cubed because there are four hidden blocks

b is 9 inches cubed because you can see there are 9 cubes

In the rho.bus, m angle 1 =4y-2. Find the value of y.

Answers

Answer:

y = 23

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other, thus

∠1 = 90° and ∠1 = 4y - 2, so equating gives

4y - 2 = 90 ( add 2 to both sides )

4y = 92 ( divide both sides by 4 )

y = 23

-8x^2- [8x - 6x^2 - 8x)] - [7 + (-8x - 7)]

Answers

Answer:

[tex]\large\boxed{-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]=-2x^2-8x-14}[/tex]

Step-by-step explanation:

[tex]-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]\\\\=-8x^2-8x-(-6x^2)-(-8x)-[7-(-8x)-(-7)]\\\\=-8x^2-8x+6x^2+8x-(7+8x+7)\\\\=-8x^2-8x+6x^2+8x-7-8x-7\qquad\text{combine like terms}\\\\=(-8x^2+6x^2)+(-8x+8x-8x)+(-7-7)\\\\=-2x^2-8x-14[/tex]

12w-27=-34+14w whats the answer

Answers

12w-27=-34+14w

Add 34 to each side:

12w + 7 = 14w

Subtract 12w from each side:

7 = 2w

Divide both sides by 2:

w = 7/2 ( depending on how you need to write the answer it could also be written as 3 1/2 or 3.5)

Answer:

w=7/2

Step-by-step explanation:

12w-27=-34+14w

12w-27+27=-34+14w+27

12w=14w-7

12w-14w=14w-7-14w

-2w=-7

w=7/2

If you need a decimal divide 7 by 2

hope this helps mark me brainliest

What is the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2? Round your answer to the earnest hundredth. (THERE ARE NO ANSWER CHOICES. I HAVE TO TYPE THIS ANSWER OUT

Answers

Answer:

[tex]0.46\pi\ radians[/tex]

Step-by-step explanation:

step 1

Find the circumference

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=5\ units[/tex]

assume

[tex]\pi=3.14[/tex]

substitute

[tex]C=2(3.14)(5)=31.4\ units[/tex]

step 2

Find  the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2 units

Remember that

The circumference of [tex]31.4\ units[/tex] subtends a central angle of [tex]2\pi \ radians[/tex]

so

using proportion

Let

x-----> the central angle in radians

[tex]\frac{2\pi}{31.4}=\frac{x}{7.2} \\ \\x=2\pi (7.2)/31.4\\ \\x=0.46\pi\ radians[/tex]

Which is the area of a parallelogram with a base of 13 centimeters and a height of 3 centimeters?

Answers

Step-by-step explanation:

Area of a parallelogram is the base times the height.

A = bh

A = (13 cm) (3 cm)

A = 39 cm²

Answer:

The area is 39 square cm.

Step-by-step explanation:

The area of a parallelogram is given as :

[tex]A=base\times height[/tex]

Given is:

base = 13 cm

height = 3 cm

So, area of the parallelogram becomes:

[tex]A=13\times3[/tex]

[tex]A=39[/tex] square cm.

Therefore, the area of the parallelogram is 39 square centimeters.

Michael applied a transformation to triangle ABC to obtain triangle A’B’C the two triangles are not congruent.which of the following could be the transformation Michael applied ??


HELP !!!!!

Answers

B) dilation

this transformation changes the shape's size (making it smaller/larger) whilst the others keep the shape congruent (same shape, same size)

When two shapes are similar but not congruent, it means the transformations performed on the shapes is non-rigid. The transformation that Michael can use to obtain a non-congruent triangle for is (b) dilation.

A non-rigid transformation is such that changes the side lengths of a shape. An example is dilation.

Because the resulting triangle [tex]\triangle A'B'C'[/tex] must not be congruent, then, Michael can dilate the original [tex]\triangle ABC[/tex] to give the new triangle [tex]\triangle A'B'C'[/tex]

See attachment for an illustration of dilation

Hence, (b) is correct

Read more about transformations at:

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Given: circle k(O), m FH = (31x+3°) m GH = (33x+3°) m∠FHG = (28x−3°) Find: m∠FGH

Answers

Answer:

The measure of angle FGH is m∠FGH=48°

Step-by-step explanation:

step 1

Find the measure of arc FG in terms of x

we know that

The inscribed angle measures half that of the arc comprising

m∠FHG=(1/2)[arc FG]

substitute the given values

(28x−3°)=(1/2)[arc FG]

arc FG=(56x−6°)

step 2

Find the value of x

we know that

arc FG+arc FH+arc GH=360° -----> by complete circle

substitute the values

(56x−6°)+(31x+3°)+ (33x+3°)=360°

120x=360°

x=3°

step 3

Find the measure of angle m∠FGH

we know that

The inscribed angle measures half that of the arc comprising

m∠FGH=(1/2)[arc FH]

substitute the given values

m∠FGH=(1/2)[31x+3°]

m∠FGH=(1/2)[31(3)+3°]

m∠FGH=48°

What is the sum of the series?

Answers

For this case we must find the sum of the given series. For this we must expand the series for each value of k.

[tex](-2 (3) +5) + (- 2 (4) +5) + (- 2 (5) +5) + (- 2 (6) +5) =\\(-6 + 5) + (- 8 + 5) + (- 10 + 5) + (- 12 + 5) =[/tex]

Different signs are subtracted and the sign of the major is placed, while equal signs of sum and the same sign is placed.

[tex]-1-3-5-7 =\\-16[/tex]

The value of the series is -16

ANswer:

-16

40 points answer asap!!!!!What is the surface area of the cone? (Use 3.14 for pie and round to the nearest hundredth.)

Answers

Answer:

216[tex]\pi[/tex]

Step-by-step explanation:

Plug the given values into the equation:

SA = ([tex]\pi[/tex])(9)(15) + [tex](\pi)[/tex] [tex](9^{2})[/tex]

Condense the equation:

216[tex]\pi[/tex]

Answer:

216 is going o be your answer

Step-by-step explanation:

y=4x^{2 -4x+9 Find the x-intercepts for the parabola

Answers

Answer: The parabola does not intercept the x-axis.

Step-by-step explanation:

The parabola intercepts the x-axis when [tex]y=0[/tex], then, you need to substitute [tex]y=0[/tex] into the equation:

[tex]y=4x^2 -4x+9\\0=4x^2 -4x+9[/tex]

Now, use the Quadratic formula:

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

In this case:

[tex]a=4\\b=-4\\c=9[/tex]

Substituting these values and evaluating, you get:

[tex]x=\frac{-(-4)\±\sqrt{(-4)^2-4(4)(9)}}{2(4)}\\\\x=\frac{4\±\sqrt{-128}}{8}[/tex]

Remeber that:

[tex]\sqrt{-1}=i[/tex]

Then, rewriting:

[tex]x=\frac{4\±8i\sqrt{2}}{8}[/tex]

Simplifying:

 [tex]x=\frac{4(1\±2i\sqrt{2}}{4(2)}\\\\x=\frac{1\±2i\sqrt{2}}{2}\\\\x=\frac{1}{2}\±\frac{2i\sqrt{2}}{2}\\\\x=\frac{1}{2}\±i\sqrt{2}[/tex]

 

Then:

[tex]x_1=\frac{1}{2}+i\sqrt{2}[/tex]

[tex]x_2=\frac{1}{2}-i\sqrt{2}[/tex]

The roots are complex, therefore, the parabola does not intercept the x-axis.

Please help!! 10 points

Answers

See the attached picture:

Find the area of the trapezoid.

Answers

Answer:

On the left is a 30 60 90 triangle so the height = 10 / 2 = 5 feet

Area of triangle = (5 * 8.7) / 2 = 21.75 sq feet

Area of Rectangle = 12 * 5 = 60 sq feet

TOTAL Area = 21.75 + 60 = 81.75 square feet

Step-by-step explanation:

what is the answer for 40÷32/4​

Answers

Answer:

5

Step-by-step explanation:

40/(32/4)

40/8

5

Answer:

[tex]{\huge \boxed{5}}[/tex]

Step-by-step explanation:

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Do divide from left to right, to find the answer.

[tex]40\div32\div4[/tex]

[tex]32\div4=8[/tex]

[tex]40\div8=5[/tex]

5 is the correct answer.

Please help me with this!

Answers

Answer:

The graph is a parabola with vertex (0 , -2)

Equation: y = x² -2

For x = -2, y = (-2)² -2 ⇒  y = 4 - 2  ⇒  y = 2

For x = -1, y = (-1)² -2 ⇒  y = 1 - 2  ⇒  y = -1

For x = 0, y = (0)² -2 ⇒  y = 0 - 2  ⇒  y = -2

For x = 1, y = (1)² -2 ⇒  y = 1 - 2  ⇒  y = -1

For x = 2, y = (2)² -2 ⇒  y = 4 - 2  ⇒  y = 2

The value of c is equal to _____.













Answers

For this case we have that by definition, the Pythagorean theorem states that:

[tex]c = \sqrt {a ^ 2 + b ^ 2}[/tex]

Where:

a, b: Are the legs

c: It is the hypotenuse

According to the figure we have to:

[tex]a = 20\\b = 21[/tex]

Substituting in the formula we have:

[tex]c = \sqrt {(20) ^ 2 + (21) ^ 2}\\c = \sqrt {400 + 441}\\c = \sqrt {841}\\c = 29[/tex]

Answer:

Option D

Answer:

841

Step-by-step explanation:

hope this helps

What is 40% of 39 ?

Answers

Answer:

15.6

Step-by-step explanation:

40% × 39 = 15.6

Hope this helps

Question 2 (2 points)
Which theorem or postulate proves that AABC is similar to ADEF?
SSS Similarity Theorem
SAS Similarity Theorem
AA Similarity Postulate
None of these

Answers

Both triangles have 2 side lengths labeled and a common angle ( shown by the curved lines).

You could use the SAS Similarity theorem.

Answer:

SAS

Step-by-step explanation:

This was the answer that was right for me, I just did this question :) Hope this helps!


What is the least common denominator in the equation below?

1) 2
2) 9
3) 12
4) 36

Answers

To find the LCD, find the prime factors of each denominator, group them so each column is a new factor, and multiply all together:

4 = 2 x 2
2 = 2
3 = 3

2 x 2 x 3 = 12

Answer is 3) 12.

Select all of the situations that represent a linear relationship between x and y.
the total area, in square meters, y, of a square garden if the side length is x meters
the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
the total miles, y, traveled by a car going 62 miles per hour in x hours

Answers

Answer:

We love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_use

Step-by-step explanation:

We love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks!

Answer:

Linear relationship always produces a straight line and are without exponential.

Lets check all the given options:

1. the total area, in square meters, y, of a square garden if the side length is x meters.

The area of a square is [tex](side)^{2}[/tex]

Here, side is 'x' and area 'y' will be [tex]x^{2}[/tex].

This is not linear.

2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months

The equation forms:

[tex]y=6+0.2x[/tex]

When x = 1

[tex]y=6.2[/tex]

When x = 2

[tex]y=6+0.2(2)[/tex]

=> [tex]y=6.4[/tex]

When x = 3

[tex]y=6+0.2(3)[/tex]

=> [tex]y=6.6[/tex]

This is a linear relation.

3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days

The equation forms:

[tex]y=15+8x[/tex]

When x = 1

[tex]y=15+8=23[/tex]

When x = 2

[tex]y=15+8(2)[/tex]

=> [tex]y=31[/tex]

When x = 3

[tex]y=15+8(3)[/tex]

=> [tex]y=39[/tex]

This is also linear.

4. the total miles, y, traveled by a car going 62 miles per hour in x hours

The equation forms:

[tex]y=62x[/tex]

When x = 1

[tex]y=62[/tex]

When x = 2

[tex]y=62(2)[/tex]

=> [tex]y=124[/tex]

When y = 3

[tex]y=62(3)[/tex]

=> [tex]y=186[/tex]

This is also linear in nature.

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