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3 years ago

Find the slope of the line that passes through the points ( -2,3) and (7,-4)

Mathematics

2 answers:

Triss [41]3 years ago

8 0

Answer:

Slope= -7/9

Step-by-step explanation:

tangare [24]3 years ago

7 0

Answer:

-7/9

Step-by-step explanation:

(-2, 3) ; (7 , -4)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\$

$= \frac{-4-3}{7-[-2]}\\\\= \frac{-4-3}{7+2}\\\\= \frac{-7}{9}$

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There are 15 research doctors participating in the study and the research board needs to be established with the offices of dire

Nat2105 [25]

Answer:

32760

Step-by-step explanation:

There are 4 positions on the board. There are 15 possible candidates for the first position. That leaves 14 candidates for the second position. Which leaves 13 for the third position, and 12 for the fourth position.

15 × 14 × 13 × 12 = 32760

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3 years ago

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2.4 - 5.5 -4n + 8?

lana66690 [7]

Answer:

4.9 - 4n

Step-by-step explanation:

Given the expression;

2.4 - 5.5 -4n + 8?

Collect like terms;

2.4 - 5.5 -4n + 8?

2.4 - 5.5 + 8-4n

-3.1 + 8 - 4n

4.9 - 4n

Hence the simplified form of the equation is 4.9 - 4n

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3 years ago

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vagabundo [1.1K]

Answer:

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Step-by-step explanation:

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2 years ago

which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

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3 years ago

Which graph represents a function?

valina [46]

The graph on the top right would represent a function. A function line on a graph includes one line going in one direction. It's not 2 lines, its not just dots either and it definitely isn't in a square because, as I said, it goes in ONE direction. Hope this helped!

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3 years ago

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