Answer:
the first one I guess
Step-by-step explanation:
The required simplified value of x and y is 32 and 84 respectively.
Given that,
To find the values of x and y. State which theorem(s) you used.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Vertical opposite angles
3x = 5x - 64
2x = 64
x = 32
Now,
5x - 64 = 5*32 - 64
= 160 - 64
= 96°
Now complementary angle y
y = 180 - 96°
y = 84°
Thus, the required simplified value of x and y is 32 and 84 respectively.
Learn more about simplification here:
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Answer:
Step-by-step explanation:
Discussion
The first thing you have to do is convert km to miles
Formula
1 mile = 1.6 km
x mile = 40000 km Cross Multiply
Solution
1.6*x = 1 * 40000 Divide by 1.6
x = 40000/1.6
x = 25000 miles
Answer Part 1
The distance covered is 25000 miles
Discussion Part 2
That's the distance covered in a day. Now we need to convert that to speed. The time (in hours) for 1 day is 24 hours.
Givens
d = 25000 miles
t = 24 hours
s = ?
Solution
s = d/t
s = 25000 / 24
s = <u>1041.66 </u> miles per hour
Answer: 1041.66 is what is to be entered as your answer
Answer:
It is ...
Step-by-step explanation:
Answer:
The polynomial with real coefficients having zeros 2 and 2 - 2i is
x³ - 6x² + 16x - 16 = 0
Step-by-step explanation:
Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.
We have
x - 2 = 0
x - (2 - 2i) = 0
=> x - 2 + 2i = 0
Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.
x - (2 + 2i) = 0
=> x - 2 - 2i = 0
Now,
P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0
= (x - 2)((x - 2)² - (2i)²) = 0
= (x - 2)(x² - 4x + 8) = 0
= x³ - 4x² + 8x - 2x² + 8x - 16 = 0
= x³ - 6x² + 16x - 16 = 0
This is the polynomial required.
