Divide the complex numbers. Write the answer in the form a + bi. (30 points)

Prefer work shown as it would be super helpful, thank you.

Answer:

x = 50 in.

Step-by-step explanation:

72 in. ÷ 36 in. = 2

2 x 25 in.

= 50 in.

Hello there, hope you are having a nice day.

We are given the slope of the line and a point on the line, so we can write the equation in point-slope form:

y-7=-3(x-(-1)

y-7=-3(x+1)

y-7=-3x-3

Now, we move -7 to the right side, using the opposite operation:

y=-3x-3+7

y=-3x+4

This is the equation of our line. Hope it helps.

Ask me if you have any queries.

~An emotional teen who helps others with joy

Good luck.

Answer: A( 148 meters )

Answer:

Choice A

Step-by-step explanation:

Using vertical angles, you know the side under the top 20 meters is also 24 meters. Then the most bottom side of the lower garden is 30 meters. You have 30+30+20+20+24+24=2(30)+2(20)+2(24)=2(30+20+24)=2(74)=148. Thus, choice is correct.

DUBS

Please consider giving a brainliest, because you did promise one ;)

79.38 cm

........................................

Answer:

Step-by-step explanation:

Minimum number of regions

You may have 100 parallel lines. This will give us 101 regions

Use following formula to find the maximum possible number of regions:

Answer:

pls mark me

Step-by-step explanation:

As there are no 12 cards in a standard pack the probability is zero.

Answer:

(x-5)(x-5)

Step-by-step explanation:

x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.

Answer: 549

Step-by-step explanation:

Answer:

y=-4x+8

Step-by-step explanation:

Hi there!

We are given the line y=-4x+1, and we want to write the equation of the line that is parallel to that line and that also passes through the point (2, 0)

Parallel lines have the same slope, so it makes sense to find the slope of the line y=-4x+1

The line is written in the format y=mx+b, where m is the slope and b is the y intercept.

As -4 is in the place of where m should be, the slope of the line is -4.

It's also the slope of the line parallel to it.

We can write the slope of the new line in slope-intercept form as well; this is the line so far, after substituting -4 as m:

y=-4x+b

Now we need to find b, which is the value of the y intercept

Remember that are given the point (2,0), which we can use to help solve for b; substitute 2 as x and 0 as y.

0=-4(2)+b

Multiply

0=-8+b

Add 8 to both sides

8=b

Substitute 8 as b into the equation:

y=-4x+8

Hope this helps!

[tex]\sf 6-2x+5+4x[/tex]

[tex]\sf \longmapsto - 2x + 4x + 6 + 5[/tex]

[tex]\sf \longmapsto - 2x + 4x + 11[/tex]

[tex]\sf \longmapsto2x + 11[/tex]

Answer:

you know, you can't post more than one question

Step-by-step explanation:

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

A.) t+2g=205

t+g=120

Step-by-step explanation:

We know that Kerry scored 205 points by making 120 basket.

t+g=120 { Because some of the basket were 1-point free

t+2g= 205 ( Throws (t) and the rest were 2-point field goals (g)

Answer: 132 hope that helps

Step-by-step explanation

Fastest way to do it A=2(wl+hl+hw)=2·(5·2+8·2+8·5)=132

Answer:

132 [tex]cm^{2}[/tex]

Step-by-step explanation:

A rectangular prism has 6 sides in total. We need to find the area of each side and add the areas together to find the total surface area.

Each side has an opposite that's parallel and on the opposite side of the prism, so there are 3 different sides whose areas are to be multiplied by 2.

First: let this side be SIDE A:  5 x 8 = 40 [tex]cm^{2}[/tex]

Second, let this side be SIDE B:  8 x 2 = 16 [tex]cm^{2}[/tex]

And thirdly, let this side be SIDE C:  2 x 5 = 10 [tex]cm^{2}[/tex]

These are the areas of 3 of the the sides of the prism. The other 3 are identical.

Now to find the Total SA, we add all of them together,

SA   =    2 x (SIDE A) + 2 x (SIDE B) + 2 x (SIDE C).

       =    (2 x 40) + (2 x 16) + (2 x 10)

       =    80 + 32 + 20

SA   =    132 [tex]cm^{2}[/tex]

Answer:

m = 0.25w + 3

Step-by-step explanation:

let m = miles

The basic fixed distance is 3 miles

And he adds 0.25 miles every week, for w weeks

So the equation is m = 0.25w + 3

-Chetan K

Answer:

x = 60

y = 30

Step-by-step explanation:

We know that all triangles' interior angles combined must have a sum of 180.

Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.

Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:

90 - 60 = y

90 - 60 = 30

y = 30

Now that we know the value of y, it's time to find the value of x.

We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).

Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:

180 - (90 + y) = x

180 - (90 + 30) = x

180 - 120 = x

180 - 120 = 60

x = 60

This gives us the answers y = 30 and x = 60

Step-by-step explanation:

Statement                                                        Reason                              

∠5 and ∠7 are vertical angles                        Vertical angles theorem

m∠5 = m∠7                                                      Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1                  Given

-2(3x - 4) = 3(x - 3) - 1                                       Substitution property of equality

-6x + 8 = 3x - 9 - 1                                            Distributive property

3x + 6x = 8 + 10                                               Addition property

9x = 18                                                              Addition property

x = 18/9                                                             Division property

x = 2                                                                  Proved

Answer:

not a direct variation

Step-by-step explanation:

x = (y-2)/9 is also x = y/9 - 2/9

we can convert this into slope-intercept form

y/9 = x + 2/9

y = 9x + 2

this equation is a straight line and is constantly going up BUT the y-intercept is not 0 so it is not a direct variation

the direct variation equation y = kx does not have a b or a y-intercept

Answer:

S=16×2

S=32

................................

Answer:

x>1/3

Step-by-step explanation:

unless you are missing something else on the question.

equilateral means all sides are the same

so if one side is 9x-3 the other sides should also be 9x-3

9x-3=0

9x=3

x=1/3

Answer: D. 1 1/2.

Step-by-step explanation: -3/8÷-1/4                                                                 (-3/8)(-4/1)                                                                                                           -3/8/-4/1                                                                                                             Cancel out the terms of 8 and -4.                                                                       8/4                                                                                                                               (-3)(-1)/2                                                                                                                   3/2                                                                                                                             D. 1 1/2                                                                                                                                                                            

Step-by-step explanation:

x - 7 < -20

x < -20 + 7

x < -13

X = (-12, -11, -10,...)

[tex] \sf \longmapsto{x}−7<−20[/tex]

Let's start.

[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]

[tex] \sf \longmapsto \: x<−13[/tex]

Step-by-step explanation:

120÷24

    0   24⟌120

    0   24⟌120   0  

    0   24⟌120   -0      1

    00  24⟌120   -0      12 

   0   24⟌120   -0      12 

    00  24⟌120   -0      12    - 0     12 

   00  24⟌120   -0      12    - 0     120

Answer:

she has 1/3 of her savings left

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

I assume you mean slope

(-3-(-8))/(2-(-3))=5/5=1

Answer: i think it's A or D

Step-by-step explanation:

Answer:

A) x > -6

Step-by-step explanation:

X is bigger than negative 6 since the arrow of the number line is pointing to the positive numbers then that means x is one of the positive numbers.

Answer:

115.72 acres

Step-by-step explanation:

232/200,500 = 0.001157

100,000*0.001157 = 115.7 acres

Answer:

What is the value of p if 5p+3=15

Answer:

When the product of 5 number and a number is added to 3 result is 15. Find the number.