Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
and filling in:
(notice we do not put the i in there with the 9).
so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
so filling that in, we have:
Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is 
, so the polar form of that number is (18, 
)
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet
<h3>What is the perimeter?</h3>
The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
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Answer:
Step-by-step explanation:
Polynomials in one variable are algebraic expressions that consist of terms in the form a x n a x n where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial
The amount of electricity required to run the manufacturing operations and lighting is given by: y = 12 x + 24.
When no parts are manufactured : x o= 0.
y o = 12 * 0 + 24
y o = 24
Answer:
( x o, y o ) = ( 0, 24 )
When no parts are manufactured, 24 watts is used ( only for lighting the facility ).
Answer:
4
Step-by-step explanation:
Inside a function, a certain unique input cannot ever have more than one output. All of the other tables have more than one output for only one input.
