The integers are 8 and 6:
Choose the correct simplification of the expression: (5x^4y^2z^2)(3x^4y^3z^5)
1 answer:
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1) To find 
we are going to use the Pythagorean equation:
where
and 
are the legs of our triangle. For our picture we can infer that 
and 
, so lets replace those values in our equation to find :
We can conclude that the value of in our triangle is 12.8
2) To find
we are going to use the trigonometric function tangent. Remember that 
. We know that the opposite side of our angle is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find :
Since we need the measure of angle, we are going to take inverse tangent to both sides to find it:
We can conclude that the value of in our triangle is 38.66°
3) Finally, to find
we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and our triangle is a right one, so one of its sides is 90°. Therefore, 
. Since we already know the value of , lets replace it in our equation and solve for :
We can conclude that the measure of angle is 51.34°
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where
We can conclude that the value of
2) To find
Since we need the measure of angle
We can conclude that the value of
3) Finally, to find
We can conclude that the measure of angle
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9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:
x(x -2)(x +3) -18 = 0
The attached shows x = 3 is the only real solution.
_____
We're not sure what "system of equations" is intended. Perhaps it is ...
y = 18
y = x(x -2)(x +3)
To create the expression we graphed, we effectively subtracted the first equation from the second.
We have to mutiply factor -2/3 times every agument from the parenthesis.
/+8b
8+6b=-4 /-8
6b=-12 /:6
b=-2 - its the answer
8+6b=-4 /-8
6b=-12 /:6
b=-2 - its the answer