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1 year ago

Find the values of x and y that satisfy the equation. 4x+2i=8+yi x= and y=

Mathematics

1 answer:

stiks02 [169]1 year ago

5 0

Answer:

The values of x and y that satisfy the equation are 2 and 2, respectively.

Step-by-step explanation:

Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:

Real component

$4\cdot x = 8$ (1)

Imaginary component

$2 = y$ (2)

The solution of this system of equations is $x = 2$ and $y = 2$ .

The values of x and y that satisfy the equation are 2 and 2, respectively.

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On a given morning the temperature was 71 Fahrenheit the temperature dropped 5° and then rose how much does the temperature need

horrorfan [7]

71-5= 66

71-66=5

The temperature needs to rise 5 degrees for the temperature to return to 71 degrees.

7 0

1 year ago

Read 2 more answers

Pietro made 18 baskets during a basketball game.The number of 3 pointers are 3 more than half of the 2 point shots.how many type

blagie [28]

Total points is 23

<u>Explanation:</u>

Given:

Total number of baskets = 18

Let the number of 2 pointer shots be x

Let the number of 3 pointer shots be y

According to the question:

$y = \frac{x}{2} + 3$ -1

The equation can be formed as:

$\frac{x}{2} + 3 + x = 18$

On solving this equation further we get:

$\frac{x+6+2x}{2} = 18\\\\9x = 36\\\\x = 4$

Putting the value of x = 4 in equation 1

$y = \frac{x}{2}+3\\ \\y = \frac{4}{2} + 3\\\\y = 5$

Points for 2 pointer shots = 4 X 2

= 8

Points for 3 pointer shots = 5 X 3

= 15

Total points = 8 + 15

= 23

Therefore, total points is 23

5 0

2 years ago

Lori purchases a new set of watercolor paints and some canvases to create art for her next exhibit. The watercolor paint set cos

horrorfan [7]

Starting with the paints, we have 15$ as our base value. Next, since we add $24.50 for each new canvas bought, 24.5*x=the amount of money for x canvases. Therefore, since 15 is our base value, we have 15+24.5*6=162

7 0

1 year ago

Read 2 more answers

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X$

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321$

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

$z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5$

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

$P(-1.5$

3 0

2 years ago

On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.

koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

y₂ = 30 - 32

y₂ = -2

So, the coordinates of B are (-1, -2)

3 0

1 year ago