MATHEMATICS HIGH SCHOOL

3 + yi = x - 7i

Find the real numbers for X AND y that make the equation true

Answers

Answer 1

Answer:

Answer:

x=3

y=7

Step-by-step explanation:

3+yi=x-7i

equate real and imaginary parts

3=x

y=-7

Answer 2

Answer:

Final answer:

To find the real numbers x and y that make the equation true, set the real parts and imaginary parts equal to each other. The solution is x = 3 and y = -7.

Explanation:

To find the real numbers x and y that make the equation true, we need to equate the real parts and imaginary parts of both sides of the equation. The real part of 3+yi is 3, and the real part of x-7i is x. Equating these gives us the equation 3 = x. The imaginary part of 3+yi is y, and the imaginary part of x-7i is -7. Equating these gives us the equation y = -7. Therefore, the values of x and y that make the equation true are x = 3 and y = -7.

Learn more about Complex Numbers here:

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A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40°. Find the length of the string to the nearest foot.

Answers

If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.

The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).

Therefore;

$tan(40)=70/x$
$0.83909963117=70/x$
$0.83909963117x=70$
$x=70/0.83909963117$
$x=83.4227514823$

Where x is the length of the string in feet.

Answer:

D) 109

Step-by-step explanation:

took the test

4) -4x - 10.2
I need the answer to this question asap please.

Answers

Answer: -2.55

Explanation: First add 10.2, and then the equation becomes -4x = 10.2.

Then, you just divide by -4 from both sides of the equation, and you get x = -2.55. :]

Answer:

21 - 4x

Step-by-step explanation:

Multiply 10 and 2 to get 20.

41 - 4x - 20

Subtract 20 from 41 to get 21.

21 - 4x

Twenty added to the sum of a number and six is twenty-seven

Answers

-- Call the number 'N'.

-- The sum of the number and six is (N + 6).

-- Twenty added to it is 20 + (N + 6)

-- That whole thing is twenty-seven

20 + (N + 6) = 27

Subtract 20 from each side: (N + 6) = 7

Subtract 6 from each side: N = 1

==================================

Check:

Put your solution into the statement and see if the statement is true.

"Twenty added to the sum of (1 and six) is twenty-seven."

That's true. yay !

for six is twenty seven will look like this

6 = 27

sorry i don't know what twenty added to the sum of a number is...

In Canada, $1 and $2 bills have been replaced by coins. When Marissa returned home to San Fran from a trip to Canada, she found that she had acquired 37 of these coins, with a total value of 51 canadian dollars. How many coins of each denomination did she have?

Answers

Answer:

$1 coin is 23

$2 coin is 14

Step-by-step explanation:

We need to form mathematical equations that we can solve from this Long citation.

Firstly, let the numbers of $1 coins be a and that of $2 be b.

We know that there are 37 coins. Hence

a + b = 37

Now, total is 51 Canadian dollars.

a + 2b = 51

Let’s now solve this simultaneously

From 2 , a + b + b = 51

Let’s say this is 3. Now substitute 1 into 3.

37 + b = 51, b = 51 - 37 = 14

Since a + b = 37

a = 37 - 14 = 23

Pick the correct description of the line 3x + 3 = y

Answers

m=3 therefore y is slanted right downwards

Which of the following could be the ratio of the length of the longer leg of a 30 60 90 triangle to the length of its hypotenuse

Answers

for 30 60 90 triangles, the ratio of the side lengths is
$(1)/(2) : ( √(3) )/(2) :1$
where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)

so the ratio of the longer leg to the hypotenuse is $( √(3) )/(2) :1$
or
$( ( √(3) )/(2) )/(1)$
which equals $( √(3) )/(2)$