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Bogdan [553]
3 years ago
8

Solve the equation for y y−5x=3

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

y = 5x + 3

Step-by-step explanation:

y - 5x = 3

add 5x to both sides to isolate y

y = 3 + 5x

rearrange to slope intercept form

y = 5x + 3

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There are two ways to work this out: normal variables or using "imaginary" numbers.

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(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}

Imaginary numbers:
Using the result from earlier:
21-i-2i^{2}
Now since i = \sqrt{-1}, then the expression becomes:
21-i-2i^{2}\\21-i-2(\sqrt{-1})^{2}\\21-i+(-2)(-1)\\21-i+2\\\\23-i
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Divide and give the answer in scientific notation. 8.4 x 107 3 x 103 A) 5.4 x 10-4 B) 5.4 x 1021 C) 2.8 x 10-4 D) 2.8 x 104
Paul [167]
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3 0
3 years ago
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Can anyone help me find the (?,?) coordinates? The given shape is a parallelogram.
Sonja [21]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

<em>In parallelogram, diagonals bisect each other.</em>

Solve it using mid-point formula:

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Here x_1=m, y_1=n, x_2=h, y_2=0

$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n+0}{2}\right  )

$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right  )

Using this midpoint find the missing coordinate.

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Let the missing coordinates by x and y.

Here x_1=0, y_1=0, x_2=x,  y_2=y

$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{x}{2}, \frac{y}{2}\right  )

Now equate the x-coordinates and y-coordinates.

$ \frac{m+h}{2}=\frac{x}{2}, \  \  \  \frac{n}{2} =  \frac{y}{2}

Multiply by 2 on both sides of the equation, we get

m + h = x, n = y

x = m + h and y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

7 0
3 years ago
How to completely factor 4x²-2x
schepotkina [342]

Answer:

2x(2x-1)

Step-by-step explanation:

4 {x}^{2}  - 2x \\  \\  = 2x(2x - 1) \\

8 0
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