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3 years ago

What is the slope of a line that passes through points (-1, 4) and (4, 9)?

Mathematics

2 answers:

melamori03 [73]3 years ago

3 0

The slope is (difference in 'y') divided by (difference in 'x') .

Difference in 'y' = (9 - 4) = 5

Difference in 'x' = (4 - [-1]) = 5

Slope = 5/5 = 1 .

(I don't think we need the pictures at all.)

kompoz [17]3 years ago

3 0

Ok here is the graph. And all of the Different slopes.
The slope would be Positive Slope!

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4 years ago

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Shalnov [3]

Answer:

adding the two equations together

(1.5,8)

Step-by-step explanation:

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3 years ago

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Luba_88 [7]

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3 years ago

Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in p

scZoUnD [109]

Answer:

The probability that they will teach different courses is $\frac{2}{3}$ .

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

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3 years ago

Which expression is equivalent to sec^2x − 1? a. cot2x b. tan2x c. csc2x d. cos2x

Nesterboy [21]

Sec^2 x - 1 = tan^2x

Proof:
Sec^2x = 1+ tan^2x

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cos^2 x = 1 - sin^2x
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cos^2x/cos^2x = 1
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Left hand side = right hand side

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