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.
The length of side b is 7.61 m.
Here's how the length was calculated:
Let:
length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees
In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.
A = 180 - (36 + 75) = 69 degrees
by using the law of sines:
a / sin A = b / sin B = c/ sin C
we will substitute the given values:
12 / sin (69) = b / sin (36)
b = unknown
12 / 0.93 = b / 0.59
12.9 = b / 0.59
b = 12.9 * 0.59
b =7.61 cm (length of side b)
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Answer: A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.