Simplify (7-5i)(-3+9i)-(5+6i)^2
Answers
Answer 1
Answer:
(-21 + 63i + 15i - 45i^2) - (25 + 60i + 36i^2) =
(-21 + 78i + 45) - (-11 + 60i) =
24 + 78i - 60i + 11 =
35 + 18i
(-21 + 78i + 45) - (-11 + 60i) =
24 + 78i - 60i + 11 =
35 + 18i
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Answers
The answer is $11,092.63.
This could be calculated using the proportion. If the value of the car decreases by 15% each year, that means that after each year the value of the car is 85% of the value from the first year.
After 1st year:
$25,000 : 100% = x1 : 85%
x1 = $25,000 · 85% ÷ 100%
x1 = $21,250
After 2nd year:
$21,250 : 100% = x2 : 85%
x2 = $21,250 · 85% ÷ 100%
x2 = $18,062.5
After 3rd year:
$18,062.5 : 100% = x3 : 85%
x3 = $18,062.5 · 85% ÷ 100%
x3 = $15,353.12
After 4th year:
$15,353.12 : 100% = x4 : 85%
x4 = $15,353.12 · 85% ÷ 100%
x4 = $13,050.15
After 5th year:
$13,050.15 : 100% = x5 : 85%
x5 = $13,050.15 · 85% ÷ 100%
x5 = $11,092.63
Therefore, the value of the car 5 years after it is purchased is $11,092.63.
This could be calculated using the proportion. If the value of the car decreases by 15% each year, that means that after each year the value of the car is 85% of the value from the first year.
After 1st year:
$25,000 : 100% = x1 : 85%
x1 = $25,000 · 85% ÷ 100%
x1 = $21,250
After 2nd year:
$21,250 : 100% = x2 : 85%
x2 = $21,250 · 85% ÷ 100%
x2 = $18,062.5
After 3rd year:
$18,062.5 : 100% = x3 : 85%
x3 = $18,062.5 · 85% ÷ 100%
x3 = $15,353.12
After 4th year:
$15,353.12 : 100% = x4 : 85%
x4 = $15,353.12 · 85% ÷ 100%
x4 = $13,050.15
After 5th year:
$13,050.15 : 100% = x5 : 85%
x5 = $13,050.15 · 85% ÷ 100%
x5 = $11,092.63
Therefore, the value of the car 5 years after it is purchased is $11,092.63.
Answer:
Option A on edg
Step-by-step explanation:
-8x^2 + 3xy - 9x - 3
Answers
Answers
I saw the image that should have accompanied this question.
Δ DMU & Δ MPA both are right triangles.
DMU: short leg = 12 ; hypotenuse = 15
MPA: short leg = 0.5x + 6 ; hypotenuse = 2y - 3
x = 12 ; y = 9
12 = 0.5(12) + 6
12 = 6 + 6
12 = 12
15 = 2y - 3
15 = 2(9) - 3
15 = 18 - 3
15 = 15
SAS postulate states that if 2 sides and 1 angle of 1 triangle is congruent to the 2 sides and 1 angle of another triangle. Then, these triangles are congruent.
Since sides are already computed, you need to look for the congruent angles of each triangle. In this case, since both are right triangles, its congruent angle is 90°
Δ DMU & Δ MPA both are right triangles.
DMU: short leg = 12 ; hypotenuse = 15
MPA: short leg = 0.5x + 6 ; hypotenuse = 2y - 3
x = 12 ; y = 9
12 = 0.5(12) + 6
12 = 6 + 6
12 = 12
15 = 2y - 3
15 = 2(9) - 3
15 = 18 - 3
15 = 15
SAS postulate states that if 2 sides and 1 angle of 1 triangle is congruent to the 2 sides and 1 angle of another triangle. Then, these triangles are congruent.
Since sides are already computed, you need to look for the congruent angles of each triangle. In this case, since both are right triangles, its congruent angle is 90°
Answers
15 is the number hope it helps
Answers
Theres a website called spades (or something like that) if you go on it look for your math text book and it will have the answers for you
the answer is the second option.
Answers
3(x + 2) = 5x - 2
3(x) + 3(2) = 5x - 2
3x + 6 = 5x - 2
- 3x - 3x
6 = 2x - 2
+ 2 + 2
8 = 2x
2 2
4 = x
3(x) + 3(2) = 5x - 2
3x + 6 = 5x - 2
- 3x - 3x
6 = 2x - 2
+ 2 + 2
8 = 2x
2 2
4 = x
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