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kipiarov [429]
2 years ago
14

Find the solutions of each equation on the interval [0,2pi) sin(3pi/2+ x)+sin(3pi/2 +x)= -2

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

x=0

Step-by-step explanation:

You can combine the equation to get 2sin(3/2 +x) = -2

divide both sides by 2 and you get the equation equal to -1. sin is equal to -1 when the value inside is 3/2 so this is the answer.

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What is the simplest form of x2+5x+-6/ x2+9x+18​
nirvana33 [79]

Answer:

\frac{x-1}{x+3}

Step-by-step explanation:

Let's factor the numerator and denominator first.

x^2+5x-6 is a quadratic in the form of x^2+bx+c.

If you have a quadratic in the form of x^2+bx+c, all you have to do to factor is think of two numbers that multiply to be c and add to be b.

In this case multiplies to be -6 and adds to be 5.

Those numbers are 6 and -1 since -1(6)=-6 and -1+6=5.

So the factored form of x^2+5x-6 is (x-1)(x+6).

x^2+9x+18 is a quadratic in the form of x^2+bx+c as well.

So we need to find two numbers that multiply to be 18 and add to be 9.

These numbers are 6 and 3 since 6(3)=18 and 6+3=9.

So the factored form of x^2+9x+18 is (x+3)(x+6).

So we have that:

\frac{x^2+5x+-6}{x^2+9x+18}=\frac{(x-1)(x+6)}{(x+3)(x+6)}

We can simplify this as long as x is not -6 as

\frac{x-1}{x+3}

I obtained the last line there by canceling out the common factor on top and bottom.

5 0
4 years ago
Read 2 more answers
Which of these r-values represents the weakest correlation? A.-0.55 B -0.45 C -0.25 D -0.35
irakobra [83]
The smaller the magnitude of the correlation, the weaker the correlation.  The magnitude of -0.25 is 0.25, the smallest correlation magnitude.  
6 0
4 years ago
Andrew has a balance of $6,000 on his credit card with an annual interest rate of 12%. To pay off the $6,000 in three years, And
amid [387]

Answer:

$1,174.44

Step-by-step explanation:

- Three year period will have 36 payments, then the total payment is $7,174.44

- In which $6,000 is the balance of credit card at beginning

- The total interest paid over the 03 years is $1,174.44 = $7,174.44 - $6,000

5 0
3 years ago
If the ratio of ducklings to mama ducks is 7 to 1 how many ducklings would there be if there were 5 mama ducks? Use a table to s
solong [7]
I believe you would do 5x7
for every one mom duck there’s 7 babies
so therefore if you had 5 momma ducks you would have 35 ducklings
hope this helps!
8 0
3 years ago
Read 2 more answers
IMAGE ATTACHED please help giving 50 points
alexdok [17]

Answer:

(4,1)

Step-by-step explanation:

when points are reflected on the y-axis you switch your x coordinate from positive to negative or the other way around the y coordinate stays the same.

(2,1) reflected is (-2,1)

(7,4) reflected is (-7,4)

(-8,-4) reflected is (8,-4)

so (-4,1) reflected is (4,1)

5 0
3 years ago
Read 2 more answers
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