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Vera_Pavlovna [14]
3 years ago
11

What is the slope and y-intercapt of the line 2x — 3y=9

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

-3 and 2

Step-by-step explanation: y=mx+b is a formula to remember. m is the slope. b is the y-intercept. when you plug in your numbers into this formula, it is 9=-3y+2x  so the slope is -3 and the y-intercept is 2.

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Given that sin(30)=1/2 and cos(30)=(sqrt3)/2, use trigonometric identities to find the value of cot(30)
Anit [1.1K]

<u>Your question: </u>given that sin(30)=1/2 and cos(30)=(sqrt3)/2, use trigonometric identities to find the value of cot(30)

The correct answer would be D \sqrt{3}

5 0
4 years ago
Find the TWO integers whos product is -12 and whose sum is 1<br>​
Deffense [45]

Answer:

\rm Numbers = 4 \ and \ -3.

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

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According to first condition :-

\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}

Hence the numbers are 4 and -3

4 0
3 years ago
Read 2 more answers
An acute angle, θ, is in a right triangle such that sin of theta is equal to 3 over 8 period What is the value of cot θ?
Serggg [28]

We want to find the value of cot(θ) given that sin(θ) = 3/8 and θ is an angle in a right triangle, we will get:

cot(θ) = (√55)/3

So we know that θ is an acute angle in a right triangle, and we get:

sin(θ) = 3/8

Remember that:

  • sin(θ) = (opposite cathetus)/(hypotenuse)
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Then we have:

opposite cathetus = 3

hypotenuse = 8 = √(3^2 +  (adjacent cathetus)^2)

Now we can solve this for the adjacent cathetus, so we get:

adjacent cathetus = √(8^2 - 3^2) = √55

And we know that:

cot(θ) = (adjacent cathetus)/(opposite cathetus)

Then we get:

cot(θ) = (√55)/3

If you want to learn more, you can read:

brainly.com/question/15345177

8 0
3 years ago
Beth’s annual salary is $20,000. She also earns a variable percent commission on her sales over $500. The percent commission var
slava [35]

Answer:

A

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6 0
3 years ago
A banker wants to estimate the true mean of how much money adults keep in their bank accounts. He wants to be 95% confident that
mr_godi [17]

Answer: Don't know sorry

Step-by-step explanation:

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