can someone help me with this.........asap

The rectangular equivalence of the parametric equations is given as:
an ellipse that is focalized on (2, -5) with semi-major axis of 4 and semi-minor axis of 2.

A parametric equation is the type which has dependent variables defined as a continuous function of the independent factor - t, and the dependent variables are mutually exclusive of other existing variables.

Step 1 - Note that we have the following terms:

x(θ)=4cosθ+2,

y(θ)=2sinθ−5

Step 2 - Rewrite the above equations

x = 4 -cos(θ) +2;

y = 2 -Sin (θ) - 5

We rewrite again as

[tex]\left( \frac{x-2}{n}\right)^{2}[/tex] = cos (θ)²;        [tex]\left( \frac{y+5}{n}\right)^{2}[/tex] = sin(θ)²

Recall that

cos (θ)² + sin(θ)² = 1

Therefore,

[tex]\left( \frac{x-2}{n}\right)^{2}[/tex]  + [tex]\left( \frac{y+5}{n}\right)^{2}[/tex] = 1

The result is an ellipse with the center  (2, -5) with a semi-major axis of 4 and a semi-minor axis of 2. See the result of the Parametric Graph Plot attached.

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Answer

the answer is in the attached image

Step-by-step explanation:

just pretend the x is a d lol

Answer:

gradient= 2

Step-by-step explanation:

Answer:

2y=5x-2

Write the equation in the form of y = mx + b

where m is the gradient and b is the y-intercept.

Therefore, 2y=5x-2 will be:

y = 5/2x - 1

Gradient is 5/2

and y-intercept is (0,-1)

Answer:

(-4,-1) is the answer to this.

Answer:

2/13    or  15.38%

Step-by-step explanation:

Number of Aces in a deck = 4

Number of 7s in a deck = 4

Number of cards in a deck = 52

Probability of A or 7 = (4 Aces + 4 Sevens) / 52 cards                                          8 cards / 52 cards

This simplifies to                           2/13    or  15.38%

Answer:

(p+13)(p+1)

Step-by-step explanation:

p² + 14p + 13

we want to find two numbers that add to 14 and multiply to 13

we can start looking by listing the factors of 13

we get 13 and 1 and -13 and -1

13 and 1 multiply to 13 ( 13 × 1 = 13 ) and add to 14 ( 13 + 1 = 14 )

-13 and -1 multiply to 13 ( -13 × -1 = 13 ) and add to -14 ( -13 + -1 = -14 )

the two numbers that would add to 14 and multiply to 13 would be 13 and 1

now we can factor out the two numbers from 14 and split the p from p² to get (p+13)(p+1)

and we are done

Answer:

10

Step-by-step explanation:

Volume of a cone is:

V = 1/3pi•r^2•h

Fill in the given information.

847.8

= 1/3(3.14)9^2•h

847.8 = 84.78h

divide by 84.78

10 = h

Answer: 2.0  (choice D)

Reason:

We divide the two mean absolute deviation (MAD) values to get (1.2)/(0.6) = 2.0

The variability in the first set (the 6th graders) is exactly twice that of the variability of the second set (the 7th graders).

The MAD is one measure of variability or spread. Another would be the standard deviation. The larger the value, the more spread out the data points will be.

[tex]\text{Given that,}~ (x_1 ,y_1) = (0,-4)~ \text{and}~ (x_2 ,y _2) = (30,-9)\\\\\text{Slope,}~ m = \dfrac{y_2-y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~~=\dfrac{-9-(-4)}{30-0}\\\\\\~~~~~~~~~~~~~=\dfrac{-9+4}{30}\\\\\\~~~~~~~~~~~~~=\dfrac{-5}{30}\\\\\\~~~~~~~~~~~~~=-\dfrac 16[/tex]

The slope of the line that passes through the points (0, -4) and (30, -9) is -1/6

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=(y₂-y₁)/(x₂-x₁)

x₁=0, y₁=-4, x₂=30, y₂=-9

Substitute in slope formula

m=(-9-(-4))/(30-0)

m=-9+4/30

m=-5/30

m=-1/6

Hence the slope of the line that passes through the points (0, -4) and (30, -9) is -1/6

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Answer:6

Step-by-step explanation:

All radii of a circle are congruent.

Answer: 56 kids

Step-by-step explanation: 70 * 0.2 = 14      70 - 14 = 56

Last year we tested 70 kids on Unit 8 and this year we tested 20% less kids then we tested 56 kids on Unit 8 this year.

percentage, a relative value indicating hundredth parts of any quantity.

If we tested 20% less kids this year, it means we tested only 80% of the number of kids we tested last year.

To find out how many kids we tested this year, we can use the following equation:

number of kids tested this year = 0.8 × number of kids tested last year

Substituting the given values, we get:

number of kids tested this year = 0.8 × 70

number of kids tested this year = 56

Therefore, we tested 56 kids on Unit 8 this year.

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Answer:

C

Step-by-step explanation:

calculate the slope m of the 2 points from the origin and equate, since they lie on the same line

m = [tex]\frac{y_{2}-y_{1} }{x_{2-x_{1} } }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, k )

m = [tex]\frac{k-0}{2-0}[/tex] = [tex]\frac{k}{2}[/tex]

repeat with

(x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = k, 32 )

m = [tex]\frac{32-0}{k-0}[/tex] = [tex]\frac{32}{k}[/tex]

equating the 2 slopes

[tex]\frac{k}{2}[/tex] = [tex]\frac{32}{k}[/tex] ( cross- multiply )

k² = 64 ( take square root of both sides )

k = [tex]\sqrt{64}[/tex] = 8

The square root of 112 by division method is 4√7

To answer the question, we need to know what square root is

The square root of a number is a number which multiplies itself to give us the given number.

Now, to find the square root of 112 by division method, we divide 112 through by successive prime numbers until we can divide no more.

So, 112 ÷ 2 = 56

56 ÷ 2 = 28

28 ÷ 2 = 14

14 ÷ 2 = 7

So, 112 = 2 × 2 × 2 × 2 × 7

112 = 2⁴ × 7

So, √112 = √(2⁴ × 7)

√112 = √2⁴ × √7

√112 = 2² × √7

√112 = 4 × √7

√112 = 4√7

So, square root 112 by division method is 4√7

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The area of the Logo 1 will be 12.48 square meters and the area of the Logo 2 will be 9.6 square meters.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Now consider the logos for Parkside Printing shown.

Determine the actual area of Logo 1  and Logo 2 in square meters will be

The area of the Logo 1 (A₁) will be

[tex]\rm A _1 = 12 \times 8 - 6 \times 3\\\\A_1 = 78 \ cm^2\\\\A_1 = 78 \times 0.16 \ m^2\\\\ A_1 = 12.48 \ m^2[/tex]

Then the area of the Logo 2 (A₂) will be

[tex]\rm A_2 = \dfrac{1}{2} \times 12 \times 10\\\\A_2 = 60 \ cm^2\\\\A_2 = 60 \times 0.16 \ m^2\\\\A_2 = 9.6 \ m^2[/tex]

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Answer:

Step-by-step explanation:

Functions like these are found on cords. they can be straight (Linear function) or they can bend ore curve (non-linear function).

That's all I have to say.

Answer: 2√14

Step-by-step explanation:

^2=squared

let the missing side =x

9^2-5^2=x^2

81-25=56

56^2

√54

=2√14

Answer:

10.295630141 or 10.3

Step-by-step explanation:

Pythagorean Theorem

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

add in known sides

[tex]9^{2} + 5^{2} = 106[/tex]

square root

[tex]\sqrt{106}[/tex]

Answer: 10.295630141 or 10.3 rounded

Answer:

yes it help me when I'm doing my work

Answer:

see photo for detailed analysis

Answer:

152

Step-by-step explanation:

360-(118+54)

Answer:

90°

Step-by-step explanation:

Taking ΔVWX :

Answer:

M+16m

Step-by-step explanation:

-9m+9 cancel eachother out because it is a negative and a postive value, so you would just put the variable. For 8m+8 it would be 16m because the sre both positive so you would add them like normal

Step-by-step explanation:

[tex] = ( - 9m + 9) + (8m + 8)[/tex]

[tex] = - 9m + 9 + 8m + 8[/tex]

[tex] = - 9m + 8m + 9 + 8[/tex]

= m + 17

hence m + 17 is the answer....

hope it helped !!!

[tex]\dfrac{-4\tfrac13}{-\tfrac 34}\\\\\\=\dfrac{\tfrac{13}3}{\tfrac 34}\\\\\\=\dfrac{13}3 \times \dfrac 43\\\\\\=\dfrac{52}9\\\\\\=5 \dfrac 79[/tex]

Answer:

C. 76,500

Step-by-step explanation:

Split up the region into shapes whose areas are easy to find. (see attached; this is not the only choice of partitioning the figure)

• The larger rectangle has area

(13 ft) × (7 ft) = 91 ft²

• The smaller rectangle has area

(11 ft) × (2 ft) = 22 ft²

• The triangle has area

1/2 × (3 ft) × (3 ft) = 4.5 ft²

Then the total area of the figure is 91 ft² + 22 ft² + 4.5 ft² = 117.5 ft².

Answer:

a

Step-by-step explanation:

rise over run 10/5 simplifies to 2/1

Answer:

7

Step-by-step explanation:

you add all the numbers together and get 70, and then you divide that answer (70) by the amount of numbers that are listed (10), and you get the answer 7. Also if this is wrong its because i'm in class and about to leave so i'm in a rush.

Answer:

The first one is 24

Step-by-step explanation:

The second one is 1/16

so I have an idea first number five which is 3 / 1/8 which actually equals 24. and for number six the answer is 1/16

Answer: Y= -3/7+5

Step-by-step explanation: