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Anastasy [175]
4 years ago
12

what equation in slope intercept form for the line that passes through point (8,-3) and has a y intercept of -2

Mathematics
1 answer:
JulijaS [17]4 years ago
3 0

Answer:

y=-8x-2

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1. Take coordinate (0,-2), which is the y-intercept. We'll call that (y2,x2). Coordinate (8,-3) is (y1,x1). Put that into the formula you get, 0-8/-2-(-3). You get -8/1 which is negative 8. We now have the slope. Slope intercept form equation is y=mx+b. M is slope, so we put our slope in the equation and get, y=-8x+b. B is the y-intercept which is given. So we know that the equation to this line in slope-intercept form is y=-8x-2.

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Use the graph below to choose the true statements select all that apply …
Anna71 [15]

Answer: a and c

Step-by-step explanation:

6 0
2 years ago
You roll a pair of fair dice until you roll “doubles” (i.e., both dice are the same). what is the expected number, e[n], of roll
bonufazy [111]

We need to define our outcomes and events.

 

Finding the probability<span> of each event occurring separately, and then multiplying the probabilities is the step to <span>finding  the probability</span> of two independent events that occur in sequence.

</span>

<span>
To solve this problem, we take note of this:</span>

 

The roll of the two dice are denoted by the pair

(I, j) ∈ S={ (1, 1),(1, 2),..., (6,6) }

Each pair is an outcome. There are 36 pairs and each has probability 1/36. The event “doubles” is { (1, 1),(2, 2)(6, 6) } has probability p= 6/36 = 1/6. If we define ”doubles” as a successful roll, the number of rolls N until we observe doubles is a geometric (p) random variable and has expected value E[N] = 1/p = 6.

3 0
3 years ago
write 6.847 in word form is the answer 6 + 0.8 + 0.04 + 0.007 or do they want six and eight hundred and 47 thousandths?
Alex787 [66]

Answer:

six and eight hundred fourty-seven thousandths

Step-by-step explanation:

6 + 0.8 + 0.04 + 0.007 is called extended form, six and eight hundred fourty-seven thousandths is called word form.

4 0
3 years ago
Multiply: (4n + 4)(5n - 8)
marissa [1.9K]

Answer:

5n^2 - 3n - 8

Step-by-step explanation:

4n.5n - 4n.8 + 4.5n - 4.8

= 20n^2 - 32n + 20n - 32

= 20n^2 - 12n - 32

= 4 ( 5n^2 - 3n - 8 )

= 5n^2 - 3n - 8 [ answer ]

7 0
3 years ago
Read 2 more answers
Please help ASAP!
Kruka [31]

First, recall that

\sin(-\theta)=-\sin\theta

So if \sin(-\theta)=\dfrac15, then \sin\theta=-\dfrac15.

Second,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

We know that \tan\theta>0 and \sin\theta, which means we should also have \cos\theta.

Third,

\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}

but as we've already shown, we need to have \cos\theta, so we pick the negative root.

Finally,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0
4 years ago
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