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dem82 [27]
2 years ago
10

Simplify (1+2i)(5-3i)

Mathematics
1 answer:
Vesna [10]2 years ago
8 0

Answer: 11+7i

Step-by-step explanation: Multiply using the PIL mthod, then combine the real imaginary parts of the expression.

Hope this helps you out! ☺

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Solve and check the following equation. 8d + 21 = 12d + 5 <br><br><br><br> d =
olganol [36]

Subtract 8d from both sides

21 = 12d + 5 - 8d

Simplify 12d + 5 - 8d to 4d + 5

21 = 4d + 5

Subtract 5 from both sides

21 - 5 = 4d

Simplify 21 - 5 to 16

16 = 4d

Divide both side by 4

16/4 = d

Simplify 16/4 to 4

4 = d

Switch sides

d = 4

<u>Check answer</u>

8d + 21 =12d + 5

Let d = 4

8 × 4 + 21 = 12 × 4 + 5

Simplify 8 × 4 to 32

32 + 21 = 12 × 4 + 5

Simplify 12 × 4 to 48

32 + 21 = 48 + 5

Simplify 32 + 21 to 53

53 = 48 + 5

Simplify 48 + 5 to 53

53 = 53

3 0
3 years ago
What is the answer? I don’t know how to say that much nicer.. i need help though.
Marysya12 [62]
Sorry bro idkhdjdjjdjdjdjfjfjxjj83848 89**%%
5 0
2 years ago
The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2
gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0
3 years ago
Read 2 more answers
The area of the triangle below is 8.91 square inches. What is the length of the base?
Studentka2010 [4]

Answer:

8.1 inches

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

\frac{area}{ \frac{1}{2}  \times height}

Base is the length by the way.

\frac{8.91}{ \frac{1}{2} \times 2.2 }

=8.1 inches

6 0
3 years ago
Read 2 more answers
7x+2y=5 pls help me solve this problem?
hram777 [196]

Answer:

Slope: -7/2

y-intercept: 5/2

y = -7/2x + 5/2

Step-by-step explanation:

3 0
3 years ago
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