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lutik1710 [3]
3 years ago
5

What is the value of the expression given below? (8-3i)-(8-3i)(8+8i)

Mathematics
2 answers:
enyata [817]3 years ago
6 0

Answer:

-76-43i

Step-by-step explanation:

First expand the multiplied terms

8-3i-(64+64i-24i+24)

8-3i-(64+40i+24)

Simplify

8-3i-64-40i-24

-76-43i

Lapatulllka [165]3 years ago
5 0

Answer:

-80-43i

Step-by-step explanation:

(8-3i)-(8-3i)(8+8i)

To find the value of the expression we need to simplify it

LEts multiply the parenthesis part using FOIL method

(8-3i)-(64+64i-24i-24i^2)

(8-3i)-(64+40i-24i^2)

The value of i^2 is -1

(8-3i)-(64+40i-24(-1))

(8-3i)-(64+40i+24)

(8-3i)-(88+40i)

Now we remove the parenthesis

8-3i-88-40i

combine like terms

-80-43i

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A. (3, _) repeats

B. is a function

C. (5, _) repeats

D. (-4, _) repeats

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3 years ago
Name the value of x that would make the relation ...
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Read 2 more answers
Wilbur spends 2/3 of his income, share 1/12, and saves the rest. What part of his income does he save? Give the answer in simple
scoundrel [369]

Answer:

<em><u>1/4 of his income.</u></em>

Step-by-step explanation:

If Wilbur spends 2/3 of his income, 1/3 or 4/12 of it is left for other purposes (It is easier if everything has a common denominator of 12). And if he shares 1/12 of that remaining amount, there is 3/12 left. And when we simplify 3/12, we get <u>1/4</u>.

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7 0
3 years ago
|x-1|+2&lt;4 solving for x
Ganezh [65]

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

  • |x-1| + 2 - 2 < 4 - 2
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Step 2: Solve absolute value.

  • We know x - 1 < 2 and x - 1 > -2.

Condition 1:

  • x - 1 < 2
  • x - 1 + 1 < 2 + 1 (Add 1 to both sides)
  • x < 3

Condition 2:

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Therefore, the answer is x < 3 and x > -1.

8 0
2 years ago
And angle measures 54° more than the measure of its complementary angle what is the measure of each angle
Mashutka [201]
Answer:
The measure of the angles are 72 degrees and 18 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
x -----> the measure of an angle
y-----> the measure of he other angle
we know that
x+y=90 -----> y=90-x -----> equation A
x=y+54 ----> equation B
substitute equation B in equation A and solve for y
y=90-(y+54)
y=90-y-54
2y=36
y=18°
Find the value of x
x=y+54 -----> x=18+54=72°
therefore
The measure of the angles are 72 degrees and 18 degrees
4 0
3 years ago
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