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3 years ago

What is the equation of the graphed line written in

Mathematics

2 answers:

Rom4ik [11]3 years ago

7 0

Answer:

2x-y=4

Step-by-step explanation:

Standard form of a line: Ax+by=c

Use slope intercept form: y=mx+b

slope= 2

y=2x-4

Add 4 to both sides.

y+4=2x

subtract y from both sides.

4=2x-y

Rotate the equation

2x-y=4

iVinArrow [24]3 years ago

6 0

Answer:

2x-y=4

Step-by-step explanation:

y=2x-4 is the slope intercept.

y-2x=-4

-2x+y=-4

2x-y=4

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What is the frequency of the graph of y = 1/3 sin(2x)?

vovangra [49]

Given:

The sine function is:

$y=\dfrac{1}{3}\sin (2x)$

To find:

The frequency of the graph of given function.

Solution:

If a sine function is defined as:

$y=A\sin(Bx+C)+D$

Then, the frequency of the sine function is:

$f=\dfrac{B}{2\pi}$

We have,

$y=\dfrac{1}{3}\sin (2x)$

Here, $B=2$ . So, the frequency of the given function is:

$f=\dfrac{2}{2\pi}$

$f=\dfrac{1}{\pi}$

Therefore, the correct option is D.

3 0

2 years ago

The function F(c)=log0.5x is decreasing true or false

nikitadnepr [17]

Answer:

true

Step-by-step explanation:

We assume you intend your function to be ...

$F(x)=\log_{0.5}x$

A logarithm with a base less than 1 is a decreasing curve. Here, the base appears to be 0.5, a value less than 1. Hence the curve is decreasing.

7 0

3 years ago

Solve: 2x2-x = 21 {-7/2,3} {-3, 7/2}

Sergio039 [100]

Answer:

The answer is (-3,7/2)

Step-by-step explanation:

$2 {x}^{2} - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \: \: \: or \: \: x + 3 = 0 \\ x = \frac{7}{2} \: \: and \: x = - 3$

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4 0

3 years ago

Hello everyone, I have this question. Please help me.

kobusy [5.1K]

Answer:

7 reservoirs

Step-by-step explanation:

1 yards = 3 feet => 3.5 yards = 10.5 feet

To determine how many numbers of reservoirs to reserve 90000, we first need to determine the capacity of each reservoirs (how much liquid one reservoir can contain) - which is equal to the volume.

The formula to calculate the volume of a circular cylinder is:

- <em>Volume of cylinder = Area of base x Height </em>

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The base of this cylinder is a circle with radius equal to 4 feet. ( $\pi = 3.14$ )

=> The are of the base is = $\pi *radius^{2}$ = 3.14 x 4^2 = 50.24 feet square

=> The volume of cylinder = Area of base x Height

=> The volume of one cylinder = 50.24 x 10.5 = 527.52 Cubic foot

We have: 1 cubic foot = 28.317 liters

=> 1 liter = 1/28.317 cubic foot

=> 90000 liters equal to: 90000/28.317 = 3,178.303 cubic foot

The number of reservoirs needed to contain 90000 liters of liquid is:

3,178.303/527.52 = 6.025

=> So that it needs 7 reservoirs to store all 90000 liters of liquid.

5 0

3 years ago

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

Eduardwww [97]

Given:

The figure of a right triangle. $PO=12,m\angle O=y^\circ$ and perpendicular = 12.

To find:

The measure of angle y.

Solution:

In a right angle triangle,

$\sin\theta=\dfrac{Perpendicular}{Hypotenuse}$

In the given right angle triangle,

$\sin y^\circ=\dfrac{7}{12}$

$y^\circ=\sin ^{-1}\dfrac{7}{12}$

$y^\circ=35.685335^\circ$

$y^\circ\approx 35.69^\circ$

Therefore, the measure of angle y is $y^\circ =35.69^\circ$ .

7 0

3 years ago