Answer:
x = 4 and y = - 5
Step-by-step explanation:
note that the product of a complex number and it's conjugate is real
That is
(a + bi)(a - bi) where a, b are real
= a² - abi + abi - b²i²
= a² + b² ← a real number
For (4 + 5i)(x + yi) to be real
we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i
(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5
Answer:
3484.8 in inches
Step-by-step explanation:
turn feet to inches and multiply all values
We know that
[volume of a <span>regular hexagonal prism]=[area of the base]*height
height=volume/area of the base
h=160/64-----> 2.5 m
[surface area </span><span>hexagonal prism]=2*[area of the base]+[perimeter of base]*h
</span>[surface area hexagonal prism]=2*[64]+[30]*2.5----> 203 m²
the answer is
203 m²
<h2>Greetings!</h2>
A)
<h3>If you can see, every 4 minutes the amount of water is increasing at a constant rate. </h3>
197 - 153 = 44
285 - 241 = 44
<h3>This means that at 8 minutes, because there is 153 gallons already in, we can divide 8 by 4 to see how many groups of 4 minutes there were. </h3>
8 ÷ 4 = 2
So then we can subtract two lots of 44 from 153:
153 - (44 x 2) = 65
<h3>So the starting amount was 65.</h3>
B)
<h3>The answer to B is the second option, because it is true that the amount of water is increasing. This is by 44 gallons per 4 minutes.</h3>
The amount of gallons per minute can be found out by dividing the amount by 4:
44 ÷ 4 = 11
<h3>So it is 11 gallons per minute.</h3>
<h2>Hope this helps!</h2>
Answer:
z^ {8/5}
Step-by-step explanation:
