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3 years ago

Anybody know the answer to this?

Mathematics

2 answers:

katovenus [111]3 years ago

8 0

First multiply

then add

4+3i/5+2i

anastassius [24]3 years ago

4 0

First distribute the top:

(2 - i) * (1 + 2i) = 2 - i + 4i - 2i^2 = 4 + 3i

Now, we have (4 + 3i)/(5 + 2i). We have to multiply by the complex conjugate of the denominator, which would be 5 - 2i:

{(4 + 3i) * (5 - 2i)}/{(5 + 2i) * (5 - 2i)} = (20 + 15i - 8i - 6i^2)/(25 - 4i^2) = (26 + 7i)/(25 + 4) = (26 + 7i)/29 = 26/29 + 7i/29

Your answer is:

26/29 + 7i/29.

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Amy is planning the seating arrangement for her wedding reception. Each round table can sit 12 guests. The head table can sit th

storchak [24]

Answer:

23 tables.

Step-by-step explanation:

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7 0

3 years ago

Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop

Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_1$ , $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m= $\frac{-5--3}{-2--1}$

simplify

m= $\frac{-5+3}{-2+1}$

add

m= $\frac{-2}{-1}$

divide

m=2

So the slope is 2

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

-1=b (the value of the y intercept!)

Substitute -1 as b into the equation

y=2x-1

We found everything needed for this problem

Hope this helps!

8 0

3 years ago

Find the area of the circle. (Take pi 22/7

Vikki [24]

Answer:

1386cm^2.

Step-by-step explanation:

radius of circle=21cm

area of circle(a)=?

we know,

A=pi r^2

=22/7×(21)^2

=1386cm^2

6 0

2 years ago

The flagpole in Mario's yard is 3,000 centimeters tall. How many meters tall is the flagpole?

Rzqust [24]

3000/100 = 30. When you go from Centimeters to Meters you divide by 100.

5 0

3 years ago

Read 2 more answers

Carly draws quadrilateral JKLM with vertices J(-3,3), K(3,3), L(2,-1),and M(-2, -1). What is the best way to classify the quadri

Trava [24]

Answer:

Trapezoid

Step-by-step explanation:

The points are shown in the attached graph.

You can clearly see from the picture that it is a "Trapezoid".

Trapezoid is basically a quadrilateral (4 sided-figure) that has 1/2 pair of parallel sides.

On the other hand, a parallelogram has 2 pair of parallel sides.

Thus, a parallelogram is a special type of trapezoid where there are 2 pair of parallel sides. But trapezoid need not be a parallelogram.

The picture shows 1 pair of parallel sides, hence it is a trapezoid.

6 0

3 years ago