Answer:
6x² - xy - 15y²
Step-by-step explanation:
To multiply these two binomials together, we can use FOIL. FOIL stands for:
First: Multiply the first terms of the binomials together.
Outer: Multiply the first term of the first binomial by the second term of the second binomial.
Inner: Multiply the second term of the first binomial by the first term of the second binomial.
Last: Multiply the second (last) terms of the two binomials together.
(3x - 5y)(2x + 3y) = (3x)(2x) + (3x)(3y) + (-5y)(2x) + (-5y)(3y)
= 6x² + 9xy - 10xy - 15y²
= 6x² - xy - 15y²
I hope you find my answer helpful.
<h3>
Answer: Yes, those sides form a right triangle</h3>
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Work Shown:
a^2+b^2 = c^2
15^2+20^2 = 25^2
225+400 = 625
625 = 625
Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.
Side note: c is always the longest side.
If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.
If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x
Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.
The two numbers are 4 and 16.
Step-by-step explanation:
Ratio of length to width = 7 : 4
length = 7x
width = 4x
7x + 4x = 11x
length = 880
width = 4x
= 4(125.71)
= 502.85
Answer:
4. refusal
Step-by-step explanation:
since defiance means not willing to cooperate
