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3 years ago

What is the sum of the complex numbers 6+5i and 8+3i2? (NOTE: −1‾‾‾√=i )

Mathematics

1 answer:

Ahat [919]3 years ago

4 0

Answer:

11 + 5i

Step-by-step explanation:

6 + 5i + 8 + 3i² =

= 6 + 8 + 3(-1) + 5i

= 14 - 3 + 5i

= 11 + 5i

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I do no understand this

vovangra [49]

The equation of a line for the given slope is $y=\frac{1}{2} x+1$ .

Solution:

Given data:

Slope (m) = $\frac{1}{2}$

Point = (–2, 0)

$x_1=-2, y_1=0$

To find the equation of the given line in the point-slope form:

Point-slope formula:

$y-y_1=m(x-x_1)$

Substitute the given values in the formula.

$$y-0=\frac{1}{2} (x-(-2))$

$$y=\frac{1}{2} (x+2)$

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

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

The equation of a line for the given slope is $y=\frac{1}{2} x+1$ .

5 0

4 years ago

the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

inna [77]

Answer:

$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

$6 = \frac{1}{2}b(b-4)$

Now we can work towards solving. Let's get simplifying.

$12 = b(b-4)\\12 = b^2 - 4b\\$

bring everything to one side so we can make a quadratic and factor:

$0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2$

We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.

$h = (6) - 4 = 2$

We find that $h=2$

7 0

2 years ago

Same question just with picture

-BARSIC- [3]

Answer:

between 4 and 10

Step-by-step explanation:

just multiply lma.o

3 0

4 years ago

What are three collinear points on line I? K I D G B F C A M

Alchen [17]

B. points a, f, and g

5 0

3 years ago

The area of a circle (A) is given by the formula A= pi*r to the second power, where r is the radius. The formula to find r is _.

podryga [215]

Answer:

The correct option for the first blank is A. (A/pi) to the power of 1/2

The correct option for the second blank is A. 4.15

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Area of a circle (A) = π * r², where r = radius

2. The formula to find r is ________________:

A = π * r²

r² = A/π

√r² = √ A/π

r = √A/π

r = A/π∧(1/2) or (A/pi) to the power of 1/2.

The correct option for the first blank is A. (A/pi) to the power of 1/2

3. if A = 54 centimeters squared, and pi = 22/7, r is _ centimeters.

We use the formula we got for the first blank, this way:

r = (A/pi) to the power of 1/2

Replacing with the real values, we have:

r = (54/(22/7)) to the power of 1/2

r = 17.2 to the power of 1/2

r = √17.2 = 4.15 (Rounding to the next hundredth)

The correct option for the second blank is A. 4.15

3 0

3 years ago