All categories

3 years ago

What is the conjugate of -2 + 8i

Mathematics

1 answer:

topjm [15]3 years ago

3 0

Answer:

-2 - 8i

Step-by-step explanation:

To find the conjugate of a complex number, change the sign of the imaginary part.

The conjugate of -2 + 8i is -2 - 8i.

You might be interested in

Re-write this subtraction as an ADDITION of signed numbers. 3 − 7

hoa [83]

3 + (-7)

yyyyyyyyyyyyyyyy

4 0

3 years ago

Read 2 more answers

The rectangular box has a lenth of 10 inches, a width of 8 inches, and a height of 20 inches.

Ket [755]

The area is 1600 inches

3 0

3 years ago

Read 2 more answers

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

y + 5 = 3/4 x

so, the last option is correct.

3 0

2 years ago

Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles

Tema [17]

Step-by-step explanation:

Remember, math is a language

when you see per think fractions

15.2 miles per hour = 15.2 miles / 1 hour

since this is a fraction, Units can cancel just like numbers

To cancel miles and be left with hours rearrange the fraction

1 hour / 15.2 miles

then multiply by 72 miles

$\frac{1hour}{15.2miles} \times 72miles$

the miles cancel and youre left with hours!

so youd write and solve 72 / 15.2

3 0

3 years ago

Solve 196x2 + 25 = 0 by using square roots.

Paraphin [41]

Sq of 196 is 14 then x2 = 28 then 25= 5

4 0

2 years ago