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____ [38]
3 years ago
11

Two parallel lines, I and m, are cut by a transversal, t, as shown below.

Mathematics
1 answer:
Reika [66]3 years ago
4 0

Answer:

x = 8

Step-by-step explanation:

alternate-interior angles equal 180°

17x + 14 + 4x - 2 = 180

21x + 12 = 180

21x = 168

x = 8

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Identify the graph of x^2-8y=0 for theta=90º and write and equation of the translated or rotated graph in general form.
vredina [299]

Answer:

The answer is parabola; (y')² - 8x' = 0 ⇒ answer (b)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

* x² - 8y = 0

∵ A = 1 , B = 0 , C =

∴ B² - 4AC = (0)² - 4(1)(0) = 0

∵ B² - 4AC = 0

∴ it will be a parabola.

∵ Ф = 90°

* The point (x , Y) will be (x' , y')

∵ x = x'cosФ - y'sinФ and y = x'sinФ + y'cosФ

∵ cos(90) = 0 and sin(90) = 1

∴ x = -y' and y = x'

* lets substitute x and y in the first equation

∴ (-y')² - 8(x') = 0

∴ (y')² - 8x' = 0

* We notice that the x' took the place of y and y' took the place of x

∴ The parabola rotated around the origin by 90°

∴ The equation of the parabola is (y')² - 8x' = 0

* The answer is parabola, with angle of rotation 90°

* The equation is (y')² - 8x' = 0

* Look to the graph

- The blue is x² - 8y = 0

- The green is (y')² - 8x' = 0

7 0
3 years ago
Read 2 more answers
There were approximately 1.6 * 10 pieces of mall processed by the United States Postal
mihalych1998 [28]

Answer:

x = 2.13 × 10^11

Approximately 2.13 × 10^11 mails were processed in 2006

Completed question;

There were approximately 1.6 * 10^11 pieces of mall processed by the United States Postal

Service in 2012. This is about 75% of the number of pieces of mail processed in 2006.

Approximately how many pieces of mail were processed by the United States Postal Service in

2006​

Step-by-step explanation:

Let x represent the number of mails processed in year 2006

Given;

Number of mails processed in 2012 N = 1.6 × 10^11

Number of mails processed in 2012 N is about 75% of the number of pieces of mail processed in 2006.

So;

N = 75% of x

N = 0.75x

x = N/0.75

x = (1.6 × 10^11)/0.75

x = 2.13 × 10^11

Approximately 2.13 × 10^11 mails were processed in 2006

3 0
3 years ago
What is 12, 4, -2, 0, 9, -2, 1, 7, 8, 2 in order from least to greatest
7nadin3 [17]

Answer:

-2 , -2 , 0 , 1 , 2 , 4 , 7 , 8 , 9 , 12

Step-by-step explanation:

Order each number from least to greatest. Note that if the number is numerically larger and attached is a negative sign (-), then it is towards the least. If it does not have a negative sign, it leans towards the most.

Your answer:

-2 , -2 , 0 , 1 , 2 , 4 , 7 , 8 , 9 , 12

~

6 0
3 years ago
Read 2 more answers
Identify the type of function represented by each graph​
mario62 [17]

Answer:

13. Linear Function

12. Absolute Value Function

11. Quadratic Function

10. Constant and Linear Function

Step-by-step explanation:

13. This graph is in Slope-Intercept Form, y = mx + b. The equation of this line is y = x + 1.

12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".

11. This graph is in the shape of a parabola, so it is considered "Quadratic".

10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function<em> </em>because it is in the form of y = mx + b, and the equation of this line is y = -2, where you have NO <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]. This is what you call horizontal lines, zero slopes.

I am joyous to assist you anytime.

6 0
3 years ago
I need HELPPPPPP PLEASEEEEEE!!!!!!!!~!!!!!!
Sedaia [141]

Answer:

Starting from the left.

4 × 3

5 × 5

2 × 5

4 × 5

4 × 4

1.5 × 2

Step-by-step explanation:

Divide all dimensions by 8.

5 0
3 years ago
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