Answer:
The values of x and y are x = -3 and y = -2
Step-by-step explanation:
In the complex numbers if a + bi = c + di, then the real parts are equal and the imaginary parts are equal
Let us use this rule to solve the question
∵ -21 + 5yi = 7x - 10i
∴ The real parts are -21 and 7x
∴ The imaginary parts are 5y and -10
∵ The real parts are equal
∴ 7x = -21
→ Divide both sides by 7
∴
= ![\frac{-21}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B-21%7D%7B7%7D)
∴ x = -3
∵ The imaginary parts are equal
∴ 5y = -10
→ Divide both sides by 5
∴
= ![\frac{-10}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B-10%7D%7B5%7D)
∴ y = -2
∴ The values of x and y are x = -3 and y = -2
Answer:
9.6e-5
Step-by-step explanation:
3
If b =3 and 2b cubed.. the answer would be 2(3) cubed +5
Answer:
y = -3/4 x + 25/2
Step-by-step explanation:
x² + y² = 100
Take derivative with respect to x.
2x + 2y dy/dx = 0
2y dy/dx = -2x
dy/dx = -x/y
Evaluate at (6, 8).
dy/dx = -6/8
dy/dx = -3/4
Use point-slope form to write equation:
y − 8 = -3/4 (x − 6)
Simplify.
y − 8 = -3/4 x + 9/2
y = -3/4 x + 25/2