That questions has to do with equivalent fractions, express a fraction in eights.
six and three quarters
= 6 3/4
<span>= 6 + 3/4
</span>= 24/4 + 3/4
= 27/4
and to convert that fraction to eights, just multiply numerator and denominator by 2:
= (27*2)/(4*2)
= 54/8
there are 54 eights in six and three quarters
The difference between the two polynomials is 11x²3y³ - 4xy².
<h3>What is the Difference between the Polynomials?</h3>
The difference between two polynomials is the result you get by subtracting one from the other.
Thus:
= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y
= 11x²3y³ - 4xy²
Learn more about polynomials on:
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<h2>
Explanation:</h2>
In this exercise, we have the following functions:
And they are defined for all real numbers x. So we have to write the following expressions:
First expression:
That is, we subtract s(x) from r(x):
Second expression:
That is, we get the product of s(x) and r(x):
Third expression:
Here we need to evaluate:
First of all, we find the sum of functions r(x) and s(x):
Finally, substituting x = -2:
<h2>Learn more: </h2>
Parabola: brainly.com/question/12178203
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Answer:
Step-by-step explanation:
Sine is opposite divided by the hypotenuse.
sin(30) = 9/y
1/2 = 9/y
y = 18
Cosine is adjacent divided by the hypotenuse
cos(30) = x/18