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3 years ago

Which equation represents a line that passes through (2, –0.5) and has a slope of 3?

2 answers:

8 0

We know, principle equation of line: y= mx + b
Here, m = 3

Calculate the value of b:
-0.5 = 3*2 + b
b = -0.5-6
b = -6.5

Now, substitute their values into the expression:
y = 3x - 6.5

Hope this helps!

Kitty [74]3 years ago

4 0

A slope of 3 means the gradient is 3 so we get y=3x+c as derived from the linear formula. we then sub in x=2 and y=-0.5. this gives us c=-6.5.

The equation would be y=3x-6.5

I think this is right.

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ra1l [238]

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3 years ago

which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x

Natalka [10]

None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

$\csc(x) = \dfrac{1}{\sin(x)}$

which is undefined at

$\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}$

$\sec(x) = \dfrac{1}{\cos(x)}$

which is undefined at

$\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}$

$\tan(x) = \dfrac{\sin(x)}{\cos(x)}$

which is undefined at

$\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}$

$\cot(x) = \dfrac{\cos(x)}{\sin(x)}$

which is undefined at

$\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}$

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3 years ago

Which statement correctly identifies the line of reflection?

Alchen [17]

Answer:

the triangles are reflected across the line y= -x

hope this helps

Step-by-step explanation:

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3 years ago

How do we write equations in slop intercept form and how do we do this entire page?

Alla [95]

So,...
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the m is the slope, and the b is the coordinate that intercepts the y-axis

so to start you off, 4x - 9y = 2

4x - 9y = 2
-4x - 4y

-9y = -4y +2

divide both sides by -9

<u>-9y </u>= <u>-4y + 2</u>
-9 -9

y = 4/9 x - 2/9

6 0

3 years ago

A company that packages salted and unsalted mixed nuts received a complaint that claimed that the company’s salted packages cont

Eduardwww [97]

Answer:

$H_0 : \mu_1 - \mu_2 = 0$