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Elanso [62]
3 years ago
9

Find the values of x and y in the following equation

Mathematics
2 answers:
Lostsunrise [7]3 years ago
4 0

Answer:

B. x = 5 and y = -13

Step-by-step explanation:

Equating real parts, we have ...

... x + 4 = 9

... x = 9 - 4 . . . . subtract 4

... x = 5

___

Equating imaginary parts, we have ...

... yi +9i = -4i

... yi = -4i -9i = -13i . . . . subtract 9i

... y = -13 . . . . . . . . . . . divide by i

IRINA_888 [86]3 years ago
3 0

(x+yi)+(4+9i)=9-4i \\\\x+4+yi+9i=9-4i\\\\x+4+(y+9)i=9-4i\\\\x+4=9 \wedge y+9=-4\\\\x=5 \wedge y=-13 \Rightarrow \text{B}

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Elmer has a collection of 300 fossils. Of those, 21% are fossilized snail shells. How many fossilized snail shells does Elmer ha
kakasveta [241]
Use the percent proportion

 21          x
——  = —— 
100        300

to solve :
21 x 300 = 6300
6300 ÷ 100 = 63

Answer = 63 of Elmer’s shells are fossilized snail shells :)
4 0
3 years ago
There are 34 Pre-K children and 29 kinder garden children on the playground, some boys and some girls. The ratio of boys to girl
Natali [406]

There are 27 boys on the playground.

Step-by-step explanation:

No. of Pre-K children = 34

No. of kindergarten children = 29

Total no of children = 29+34 = 63

Ratio of boys to girls = 3:4

Total ratio = 3+4 = 7

Therefore,

boys proportion = \frac{3}{7}

Total number of boys = \frac{3}{7}\ of\ total\ number\ of\ children

Total\ number\ of\ boys = \frac{3}{7} *63\\Total\ number\ of\ boys = \frac{189}{7} \\Total\ number\ of\ boys = 27

There are 27 boys on the playground.

Keywords: Proportion, division.

Learn more about proportion at:

  • brainly.com/question/2283067
  • brainly.com/question/2284968

#LearnwithBrainly

5 0
3 years ago
Write an equation that is perpendicular to y= 1/2x+5 and passes through (4,8)
goblinko [34]

Answer:

y = -2x + 16.

Step-by-step explanation:

The slope of the perpendicular line = -1 / slope of the given line

= -1 / 1/2 = -2.

Using the point slope form of the equation of a straight line:

y - y1 = m (x - x1)

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16  is the required equation.

4 0
4 years ago
What is 6.29 converted to a whole number?
enyata [817]
That is fractional, it can not be represented as a whole number, though it can be represented as an improper or mixed fraction because it is a rational number.

629/100 or 6+29/100
5 0
3 years ago
Read 2 more answers
How do u work out one quarter of something?
Natalka [10]
One quarter 
quarter means 4
so one quarter is 1 out of 4
or the fraction 1/4 
or the decimal 0.25

Hope this helps!
5 0
3 years ago
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