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Xelga [282]
3 years ago
9

Give an example of parallel lines in the real world. Then describe how you could prove that the lines are parallel.

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0
The sides of a TV.

since left and right (sides) goes up and down


---------------
| T.V | <-- SIDES R THE SAME VERTICAL
| °°° | LINE <UP AND DOWN>
---------------
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What’s a complex conjugate in math
goldenfox [79]

Answer:


Step-by-step explanation:

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 − 4i. In polar form, the conjugate of is.

3 0
3 years ago
If 4x+2=5y+3 then y =
Schach [20]

Answer:4x/5-1/5 = y

Step-by-step explanation:

We need to get y by itself

4x+2=5y+3

subtract 3 from both sides

4x-1=5y

divide both sides by 5

4x/5-1/5 = y

4 0
1 year ago
Read 2 more answers
A line includes the points (4, – 6) and (8, – 4). What is its equation in point-slope form
klemol [59]

Answer:

1/2x-8

Step-by-step explanation:

Rise over run for slope

Plug in values for y intercept

4 0
2 years ago
Read 2 more answers
Which system of linear inequalities is represented by the graph? y &gt; One-thirdx + 3 and 3x – y &gt; 2 y &gt; One-halfx + 3 an
Verdich [7]

Answer:

y\geq \frac{1}{3}x+3

3x-y>2

Step-by-step explanation:

<u><em>The complete question is</em></u>

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded. Which system of linear inequalities is represented by the graph?

step 1

Find the inequality of the first solid line

we have the points (0,3) and (3,4)

The slope is

m=(4-3)/(3-0)=\frac{1}{3}

The y-intercept is the point (0,3)

so

The equation in slope intercept form is equal to

y=\frac{1}{3}x+3

Remember that everything above the line is shaded and is a solid line

so

y\geq \frac{1}{3}x+3

step 2

Find the inequality of the second line

we have the points (0,-2) and (1,1)

The slope is

m=(1+2)/(1-0)=3

The y-intercept is the point (0,-2)

so

The equation in slope intercept form is equal to

y=3x-2

Remember that everything to the right of the line is shaded and is a dashed line

so

y

Rewrite

2 ----->  3x-y>2

therefore

The system of inequalities is

y\geq \frac{1}{3}x+3

3x-y>2

8 0
2 years ago
Read 2 more answers
If 7 cosec^2 theta-9 cot^2theta=7 then what is the value of tantheta​
NemiM [27]

The value of tanθ = ±∞ or tanθ = ±√(7/5)

The question is a trigonometric equation

<h3>What is a trigonometric equation?</h3>

A trigonometric equation is an equation that has unknowns that contain trigonometric ratios.

<h3>How to find the value of tanθ?</h3>

Given the trigonometric equation 7cosec²θ - 9cot²θ = 7, we require tanθ.

So, 7cosec²θ - 9cot²θ = 7

using the trigonometric identity 1 + cot²θ = cosec²θ.

Substituting this into the equation, we have

7cosec²θ - 9cot²θ = 7

7(1 + cot²θ)² - 9cot²θ = 7

7(1 + 2cot²θ + cot⁴θ) - 9cot²θ = 7

7 + 14cot²θ + 7cot⁴θ - 9cot²θ = 7

14cot²θ + 7cot⁴θ - 9cot²θ = 7 - 7

14cot²θ + 7cot⁴θ - 9cot²θ = 0

7cot⁴θ + 14cot²θ - 9cot²θ = 0

7cot⁴θ + 5cot²θ = 0

Factorizing out cot²θ, we have

cot²θ(7cot²θ - 5) = 0

⇒ cot²θ = 0 or 7cot²θ - 5 = 0

⇒ cotθ = ±√0 or 7cot²θ = 5

⇒ cotθ = ±0 or cot²θ = 5/7

⇒ cotθ = ±0 or cotθ = ±√(5/7)

⇒ 1/tanθ = ±0 or 1/tanθ = ±√(5/7)

⇒ tanθ = ±1/0 or tanθ = ±√(7/5)

⇒ tanθ = ±∞ or tanθ = ±√(7/5)

So, the value of tanθ = ±∞ or tanθ = ±√(7/5)

Learn more about trigonometric equation here:

brainly.com/question/28025415

#SPJ1

3 0
2 years ago
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