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liubo4ka [24]
4 years ago
6

Find the slope of the line through the point (0,2) and (5,-3)

Mathematics
1 answer:
Harrizon [31]4 years ago
7 0
The slope would be -1..
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k0ka [10]

Answer:

\sf  \boxed{  \sf y - 3 = \dfrac{3}{2} (x - 6)}

Explanation:

\sf Given \ equation: y = \dfrac{3}{2} x - 5

Comparing it with slope intercept form "y = mx + b" where 'm' is slope and 'b' is y-intercept.

Here slope: 3/2 and y-intercept: -5

Parallel slope has the same tangent slope.

Pass through point (x, y) = (6, 3)

Equation:

\sf y - y_1 = m(x  - x_1)

\rightarrow \sf y - 3 = \dfrac{3}{2} (x - 6)

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2 years ago
The number 512 is a perfect cube because 512 = 83.
alexgriva [62]

Step-by-step explanation:

the number which is a perfect cube :

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3 years ago
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Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

6 0
3 years ago
. mrs. opsahl drove 399 miles on 14 gallons of gas. how many miles per gallon did her car get? 0.27 miles per gallon 28.5 miles
Dennis_Churaev [7]

Answer:

28.5 miles per gallon

Step-by-step explanation:

399 miles / 14 gallons

= 28.5 miles/1 gallon

1 gallon per 28.5 miles

8 0
2 years ago
Solve<br> Log(x-1)+log(2)=7
Rudiy27

Answer:

x is 6 i believeee if you're solving for x!!

Step-by-step explanation:

5 0
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