<h3>
Answer: 5 - 4i (choice A)</h3>
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Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
The student first made an error in step 2 when she simplified... She should have used the distributive property to distribute the -4 through the parentheses. It should look like this...
-4 (y) = -4 (4 - 2z)
-4y = -16 + 8z
Answer is 120 in^3
Reason
Cone volume is 1/3 BH
(or 1/3 volume of a cylinder)
1/3 x 36 x 10
Answer = 120
The change in grandpa Ernie's height each year is equal to 0.6cm.
As given in the question,
Number of years for which grandpa's height is shrinking = 4 years
The total decrease in height after four years is equal to 2.4cm.
Let x represents the decrease in height each year
The required equation to calculate decrease in height each year is given by:
4x = 2.4
⇒ x= 2.4 /4
⇒x = 0.6cm
Therefore, the change in grandpa Ernie's height each year is equal to 0.6cm.
The complete question is :
Grandpa Ernie is shrinking over the past four years his height decreased by a total of 2.4 cm it decrease by the same amount each year what was the change in grandpa Ernie’s height each year.
Learn more about height here
brainly.com/question/10726356
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B, 7.8 & 7.9; Since the square root of 61 is 7.81024, then that means it would lie just above 7.8 in the number line.