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4 years ago

What is the slope of a line parallel to the line whose equation is 2x−3y=6 ?

Mathematics

2 answers:

Kisachek [45]4 years ago

6 0

2x-3y=6
3y=2x-6
y=2/3x-2
Slope = 2/3

Therefore B

Marta_Voda [28]4 years ago

4 0

Answer:

B. 2/3

Step-by-step explanation:

Parallel lines have the same slope

We need to find the slope of the given line

2x-3y =6

Solve for y

Subtract 2x from each side

2x-2x-3y =-2x+6

-3y = -2x+6

Divide each side by -3

-3y/-3 = -2x/-3+6/-3

y = 2/3 x -2

This is in slope intercept form(y =mx+b) where m is the slope and b is the y intercept

The slope is 2/3

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3 years ago

Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

if $sin(\theta)=sin(\alpha)$

then, $\theta=n\pi+(-1)^n\alpha$ (where $n$ is an integer)

This can be rewritten in degrees as:

$\theta=n(180^{\circ})+(-1)^n\alpha$ .............(Equation 1)

Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

3 0

3 years ago

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Learn more about diabetic in: brainly.com/question/14823945

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2 years ago

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Klio2033 [76]

Answer:

Step-by-step explanation:

If 12 apples makes 2 cups, we can assume that 6 apples make 1 cup.

Take the number of apples and divide it by 6 in order to find out the number of cups that can be made.

3 0

3 years ago

Cube root of 0.000064

const2013 [10]

<span>Cube root of 0.000064 = 0.04

hope it helps
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3 years ago