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Drupady [299]
3 years ago
11

I dont even know how many times I've asked for this but plz... What is the slope of a line parallel to the line whose equation i

s 2x+y=−6. Fully reduce your answer.
Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Answer:

2

Step-by-step explanation:

Lines that are parallel have the same slope.

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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​.

6 0
3 years ago
Please solve!!! Will make Brainliest!!
posledela

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

3 0
3 years ago
Read 2 more answers
six times a number is greater than 20 mare than that number. what are the possible values of that number​
algol13

Answer:

x > 4

 

Suppose that x is some number so 6 times a number is 6*x. 20 more than that number is 20 + x. If you put it together the inequality would be 6x > 20 + x. Subtracting x from both sides would result in 5x > 20. Dividing by 5 gives you x > 4 which is the final answer. So the possible values of that number is anything greater than 4.

4 0
3 years ago
Read 2 more answers
What does X equal??<br> Help quick
vagabundo [1.1K]
Correct Answer: x=17
7 0
3 years ago
Paul wants to deposit $600 today for a vacation he plans to take after graduation. Which formula should he use to determine the
Vitek1552 [10]

Answer:

Future value of a single amount

Step-by-step explanation:

Future value of a single amount - it is referred to as the amount of money that received after n year when money is deposit at the rate interest of i from the initial time. we can say that the total amount is the sum of principal money and interest value.

The formula used to calculate the Future Value of a single amount

Future value = Present value *[Future value factor]

6 0
3 years ago
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