(true or false).. the absolute value of a real negative number is negative.
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The value 18 will go in the first box
For the next two boxes, you'll type in
or (16/63)pi or something along those lines. The answer format will vary depending on how your teacher wants it.
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To get those values, I used the rule
If
z = a*(cos(b) + i*sin(b)) and w = c*(cos(d)+i*sin(d))
then
z*w = a*c*(cos(b+d)+i*sin(b+d))
In this case
a = 2
c = 9
so a*c = 2*9 = 18 goes in that first box
Then we compute b+d
b+d = (pi/9) + (pi/7)
b+d = (7pi)/63 + (9pi)/63
b+d = (16/63)pi
which goes in the last two boxes
For the next two boxes, you'll type in
--------------------------------------------------
To get those values, I used the rule
If
z = a*(cos(b) + i*sin(b)) and w = c*(cos(d)+i*sin(d))
then
z*w = a*c*(cos(b+d)+i*sin(b+d))
In this case
a = 2
c = 9
so a*c = 2*9 = 18 goes in that first box
Then we compute b+d
b+d = (pi/9) + (pi/7)
b+d = (7pi)/63 + (9pi)/63
b+d = (16/63)pi
which goes in the last two boxes
For the given set of equations, the values of x = -8 and x = -2.
We have, f(x) = x² + 7x- 24 and g(x) = -3x - 40
An Equation is an algebraic statement that shows that two quantities are equal.
For one x-value of a solution,
We equate both the given functions,
Thus, f(x) = g(x)
x² + 7x- 24 = -3x - 40
+7x + 3x -24 + 40 = 0
+10x + 16 =0
+ 8x + 2x +16 =0
x(x+8) + 2(x +8) =0
(x+8) (x+2) = 0
x = -8 and x = -2
Hence, Concluding, we have x = -8 and x = -2
To read more about equations, visit brainly.com/question/14686792
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