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3 years ago

What is the slope of the line represented by the equation below?y=-2/3x+3 A-2/3 B. 2/3 C.2 D.x

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

8 0

ANSWER

$- \frac{2}{3}$

EXPLANATION

The given equation is

$y = - \frac{2}{3}x + 3$

This equation is already in the form:

$y =mx + b$

This is called the slope-intercept form.

The slope is

$m = - \frac{2}{3}$

and the y-intercept is 3.

The correct answer is A.

In a situation where the line is not given in the slope intercept form, then you must rewrite in this form before comparing.

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The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines

miv72 [106K]

Answer:

∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

∠RSU +∠UST = ∠RST

78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

108 = 6x . . . . . . . . . . . multiply by 2

120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

_____

<em>Additional comment</em>

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

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vodka [1.7K]

F(4) value is 6.
I believe it would work like this:
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What is the exact radian measure of an angle of 132

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Since we know that in π radians there are 180°, thus how many radians in 132°?

$\bf \begin{array}{ccll}
de grees&radians\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
180&\pi \\
132&x
\end{array}\implies \cfrac{180}{132}=\cfrac{\pi }{x}\implies x=\cfrac{132\cdot \pi }{180}\implies \stackrel{simplified}{\cfrac{11\pi }{15}}$

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3 years ago