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Mariana [72]
3 years ago
7

21 divided 3/8 PLZ HELP!

Mathematics
1 answer:
Kryger [21]3 years ago
7 0

Answer:

56

Step-by-step explanation:

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Find the values of x and y that satisfy the equation –21 + 5yi = 7x – 10i.
kap26 [50]

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

  • a = c
  • b = d

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{7x}{7} = \frac{-21}{7}

∴ x = -3

∵ The imaginary parts are equal

∴ 5y = -10

→ Divide both sides by 5

∴ \frac{5y}{5} = \frac{-10}{5}

∴ y = -2

∴ The values of x and y are x = -3 and y = -2

8 0
3 years ago
What is the equation of the line that goes through the points (- 2, 1) and (0, 4) ? (Write your answer in standard form .)
tekilochka [14]

Answer:

3x-2y+8=0

Step-by-step explanation:

The slope of the line that goes through the points (-2, 1) and (0, 4) is

\frac{4-1}{0-(-2)} = \frac{3}{2}

The slope of the line that goes through the points (x, y) and (0, 4) is

\frac{4-y}{0-x} = \frac{4-y}{-x}

So \frac{3}{2}=\frac{4-y}{-x}\\-3x=2(4-y)=8-2y\\3x-2y+8=0

5 0
2 years ago
Which graph shows the line joining the complex numbers -i and 2+!?
Artist 52 [7]

Answer:

D

Step-by-step explanation:

You are given two complex numbers -i and 2+i.

For the complex number z=x+iy, the ordered pair (x,y) represents this complex number on the coordinate plane.

So, the numbers:

  • -i=0-1\cdot i is represented by the ordered pair (0,-1)
  • 2+i=2+1\cdot i is represented by the ordered pair (2,1).

Plot these two points on the coordinate plane and coonect them with a straight line. You'll get the last option of graph.

7 0
3 years ago
Write the subtraction sentence that is shown on the number line. Do not reduce the fractions.
dybincka [34]

Answer:

15/8 - 6/8= 9/8

Step-by-step explanation:

8 0
3 years ago
A basketball player makes 90% of her free throws. what is the probability she will miss for the first time on the seventh shot?
Kobotan [32]
52.17% is the probability she will miss for the first time.
4 0
3 years ago
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