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professor190 [17]
3 years ago
8

What is the equation of the graphed line​

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
6 0

Answer:

y = 2x + 3

Step-by-step explanation:

The y-intercept is clearly marked:  it's b = 3 (or 0, 3).

Going from the point (-3, -3) to the point (0, 3),

x increases by 3 and y increases by 6.  Thus, the slope of the line through these two points is m = rise / run = 6 / 3, or m = 2.

Starting with the slope-intercept form of the equation of a straight line:

y = mx + b, we substitute 2 for m and 3 for b, obtaining:

y = 2x + 3

Anon25 [30]3 years ago
6 0

Answer:

y = 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 3) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = \frac{3+3}{0+3} = \frac{6}{3} = 2

note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = 2x + 3 ← equation of line

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The city buses that run in your neighborhood stop every 12 minutes .The first bus arrives at 5:00 am for passengers.You get to t
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Answer:

Therefore you will have to wait 11 minutes.

Step-by-step explanation:

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217/12=18

18*12=216

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12-1=11 minutes



Hope this helps!

8 0
3 years ago
You are determining the mass of an object using a triple beam balance. When the pointer is lined up with the zero mark, the ride
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328 grams is the mass.
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Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

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tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

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-3.  Choice A.

6 0
3 years ago
of the 50 U.S states, 4 have names that start with the letter W. What percentage of U.S. states have names that start with the l
serious [3.7K]

Answer:

8% of of the Us states have the names that start with W.

Step-by-step explanation:

We are told that, of the 50 states, 4 have names that start with letter W, and to figure out what percentage of U.S. states have names that start with the letter W, we need to know what what 4 is what percent of 50.

We figure this out the following way:

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Percent = 8%

6 0
4 years ago
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