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djverab [1.8K]
3 years ago
8

Simplify the expression. (5+i)(2-7i)

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

Answer:

17-33i

Step-by-step explanation:

Multiply using the foil method than combined the real and imaginary parts of the expression

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Write the equation of the line given points (-4,6) and (-8,10)
Advocard [28]

Answer:

the equation of the line in slope-intercept form is: y=-x+2

Step-by-step explanation:

First start by finding the slope of the segment that joins those two points using the general formula for the slope of the segments between two points (x_1,y_1) and (x_2,y_2) on the plane:

Slope=\frac{y_2-y_1}{x_2-x_1}

Then for our case, calling (-4, 6) = (x_1,y_1) and (-8, 10) = (x_2,y_2), we have:

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{10-6}{-8-(-4)}\\Slope=\frac{4}{-8+4}\\Slope=\frac{4}{-4}\\Slope= -1

Now, knowing this, we can find the equation of the line by using the "point-slope" form of a line [of slope "m" and going through the point (x_0,y_0) that tells us:

y-y_0=m(x-x_0)

We will be then using the found slope (-1) and for example one of the given points: (-4 , 6), thus:

y-y_0=m(x-x_0)\\y-6=-1(x-(-4))\\y-6=-1(x+4)\\y-6=-x-4\\y=-x-4+6\\y=-x+2

6 0
3 years ago
What is 6×9÷18+100-11+4
mojhsa [17]

6 × 9 ÷ 18 + 100 - 11 + 4

Use the order of operations to simplify:

  • Parentheses
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction

6 × 9 ÷ 18 + 100 - 11 + 4

There are no parentheses or exponents, so multiplication comes first. Multiply 6 and 9.

54 ÷ 18 + 100 - 11 + 4

Next is division. Divide 54 by 18.

3 + 100 - 11 + 4

Finally, add and subtract from left to right.

103 - 11 + 4

92 + 4

96

<h3>Answer:</h3>

96

4 0
3 years ago
Can someone help me please
tia_tia [17]

Answer:

0

<em>Quick </em><em>Tip</em>

<em> </em>X - value on the y - axis is always 0.

f(x) is used interchangeably with y

፡ f(x) = y

y = 5.

8 0
2 years ago
Six plus x minus two x equals five
AleksandrR [38]

The "plus x minus two x" part basically means "minus x".

So, "six minux x equals five".

This means that six minus five is x. So, x is one!

Now, let's check this in the problem: replace x with 1. Six plus one minus two ones equals five? Yes, it does!

The answer is x=1.

4 0
3 years ago
REWARDING 95 POINTS Which statement is true? Select all that apply.
densk [106]

Answer:

Answer D

Step-by-step explanation:

3 0
3 years ago
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