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andre [41]
3 years ago
13

Write the equation of the line that passes through the points (7,-6) and (0,2). Put

Mathematics
1 answer:
Alex3 years ago
6 0

Answer:

y+6=\frac{-8}{7} (x-7)

Step-by-step explanation:

To find the slope of the equation use \frac{y_2-y_1}{x_2-x_1}.

So, \frac{-6-2}{7-0} = \frac{-8}{7}. Now we can use our slope and any of the two points to write in point-slope form, which is y-y_1=m(x-x_1). Using the point (7,-6), the formula will give y+6=\frac{-8}{7} (x-7).

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.

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Please help! What is the line's slope??
MariettaO [177]
The slope is the rise over run. Basically, any line has a constant increase. If you are looking at a line on a graph and each point it meets at is 1 up and 1 over, the slope is 1. Say the line goes up two and over one for each time it meets an actual point, the slope would be 2. If it is 1 up and 2 over, it would be 1/2.
4 0
3 years ago
g "They hired an analyst who collected a random sample of 40,361 Game of Thrones fans, and found that 8,337 of those fans said t
Viktor [21]

Answer:

The lower bound for a 90% confidence interval is 0.2033.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 40361, \pi = \frac{8337}{40361} = 0.2066

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033

The lower bound for a 90% confidence interval is 0.2033.

6 0
3 years ago
I'm having trouble with this problem ​
shepuryov [24]

Answer:

the first and third should be the correct answer I hope this helps

3 0
2 years ago
the rainfalls 2 years ago was 10.2 inches.last year total was 20 percent greater. what was last years rainfalls total
vivado [14]
It would be: 10.2 + 10.2 * 0.20
= 10.2 + 2.04 = 12.24

So, your final answer is 12.24

Hope this helps!
6 0
3 years ago
Could anyone help me with this? Thanks in advance x
alexira [117]

Answer:

find b: since the triangle is right angle triangle apply the Pythagorean theorem

c²+b²=d²

b²=d²-c²

b²=16²-12²

b²=256-144

b²=112

<h2>b=√112 = 4√7</h2>

the sum of the angle of the triangle=180

( in top Δ abd ) sin Ф=opp/hyp

sinФ=b/d=4√7/16= √7/4  radian

convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees

<h2>which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)</h2>

find a=?? apply law of cosine

a²= d^2 + c^2 − 2dc cosA

a²=16² + 12²-2(16)(12)cos38

a =√(16² + 12²-2(16)(12)cos38)

<h2>a=9.87 rounded to the nearest hundredth</h2>

(i hope it is right )

5 0
3 years ago
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