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3 years ago

Which of the following could be the graph of the line y=3x-2

Mathematics

1 answer:

Basile [38]3 years ago

5 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=3x-2$

Plot the line

To plot the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=3(0)-2=-2$

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

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$0=3x-2$

$x=2/3=0.667$

The x-intercept is the point (0.667,0)

Plot the intercepts and then draw the line

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What are the possible values of x in the equation | x + 5 | = 4?

olga55 [171]

Answer:

x= -1

Step-by-step explanation:

x+5=4 or x+5= -4

x= -9 or x= -1

8 0

3 years ago

For which value of theta is sin theta equals -1?

Olin [163]

Answer:

The value of Ф is 3π/2

Step-by-step explanation:

* Lets revise the angle Ф in the four quadrant

∵ r = √(x² + y²) ⇒ square the two sides

∴ x² + y² = r²

∵ r = 1

∴ x² + y² = 1

∵ cos² Ф + sin² Ф = 1

∵ x is the adjacent side to Ф and y is the opposite side to Ф

∴ x = cos Ф and y = sin Ф

- At point (1 , 0)

∵ x = 1 , y = 0

∴ cos Ф = 1 and sin Ф = 0

∵ The positive part of x-axis represents the angle 0 and 2π

∴ cos 0 and 2π are 1 and sin 0 and 2π are 0

- At point (0 , 1)

∵ x = 0 , y = 1

∴ cos Ф = 0 and sin Ф = 1

∵ The positive part of y-axis represent the angle π/2

∴ cos π/2 is 0 and sin π/2 is 1

- At point (-1 , 0)

∵ x = -1 , y = 0

∴ cos Ф = -1 and sin Ф = 0

∵ The negative part of x-axis represents the angle π

∴ cos π is -1 and sin π is 0

- At point (0 , -1)

∵ x = 0 , y = -1

∴ cos Ф = 0 and sin Ф = -1

∵ The negative part of y-axis represent the angle 3π/2

∴ cos 3π/2 is 0 and sin 3π/2 is 1

* For the value of Ф = 3π/2 is sin Ф = -1

6 0

4 years ago

Read 2 more answers

A cross section is the intersection of which two elements?

viva [34]

The answer is:

A solid and a plane.

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME <br> GYGYGYHUHUHH

otez555 [7]

Answer: The answers are in the photo.

Step-by-step explanation:

Hope this helps

3 0

2 years ago

Read 2 more answers

Help me! I need a better explanation!

jonny [76]

1) Those are polar coordinates

2) The expression inside cosine is the angle of the vector to be drawn

3) r is the length of the vector to be drawn.

For example:

- if you take angle =0 and r results to be =2, it means that you have to put a point over the x-axis at a distance of two units from the origin.

4) You have to look for notable values, like points on the axis and notable angles (0, 45°, 90°, 180 °,...)

5) Use derivation to find maximum and minimum values.

6) The graph of this function looks like the infinite symbol: ∞

7) Some notable points are: (0,0) ; (0,2) ; (0, - 2)

See attached the complete graph as a reference.

Download docx

6 0

3 years ago