(-30i) +(52-30i) express your answer in the form (a+bi)

Answer:

[tex]\displaystyle d = 34[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-1, -13)

Point (-1, 21)

Step 2: Find distance d

Answer: x = 8

Step-by-step explanation:

4x + 5 = 2x + 21

4x + 5 - 2x = -2x + 2x +21 (Subtract 2x from both sides)

2x + 5 = 21

2x + 5 - 5 = 21 - 5 (Subtract 5 from both sides)

2x = 16

2x/2 = 16/2 (Divide both sides by 2)

x = 8

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

Answer: d

Step-by-step explanation:

Answer:

1 ?????????.........

Answer:

Option A

Step-by-step explanation:

[tex]\sqrt{\frac{72x^{16} }{50x^{36} } } = \sqrt{\frac{36x^{16} }{25x^{36} } } = \frac{\sqrt{36x^{16} } }{\sqrt{25x^{36} } } = \frac{\sqrt{36} \times \sqrt{x^{16} } }{\sqrt{25} \times \sqrt{x^{36} } } = \frac{6x^{8} }{5x^{18} } = \frac{6}{5} \times x^{8-18} =\frac{6}{5} \times x^{-10} = \frac{6}{5x^{10} }[/tex]

Answer: 115

Step-by-step explanation: because Laura exercises 150 minuets in all and Alicia exercises 265 in all. so you subtract

265-150 and you get 115

Answer: The answer is 42 :)

Step-by-step explanation: F(x)=-9x-3 plug in the -5 in the -9x

-9(-5)-3

45-3=

42

Answer:

Pam walks 3/8 of a mile more than Paul

Step-by-step explanation:

1/2 = 4/8

7/8 - 4/8 = 3/8

1. x+(x-26)= 180 (being corresponding angle)

2x-26=180

2x=180-26

2x=154

x=154÷ 2

∴x=77

Answer:

5:6, 20:24, 30:36

Step-by-step explanation:

If the picture below is the triangular prism

Answer:

976

Step-by-step explanation:

14 x 24 = 336 [It's a triangle you would half it but then as there are 2 you would keep it the same]

10 x 25 = 250 [Times by 2 because there are 2 of them]

10 x 14 = 140

336 + 250 + 250 + 140 = 976

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

Answer:

The missing coordinate is 1

Step-by-step explanation:

Answer:

If you were wondering how much he had to begin with, it would be $5.10.

Step-by-step explanation:

Hopefully this helps you :3

Answer:

240cm

Step-by-step explanation:

6cm*14cm= 84cm

6*6=36

84+36=120*2=240

Answer:

7cm x 8cm

Step-by-step explanation:

The 14cm x 12cm box (top 'box 1') intersects with the 14cm x 12cm box (bottom 'box 2').

Half the values of each side are subtracted from one another, so

horizontal length: 14/2 = 7cm

vertical length: 12/2 = 6cm

Box 2 horizontal length (total) = 14cm devided by half the length of box 1 (7cm)

14 - 7 = 7cm

Box 2 vertical length (total) = 12cm devided by half the length of box 1 (6cm)

12 - 6 = 6cm

The total area is calculated by multiplying the horizontal and vertical lengths

7x6 = 42

the answer is 42

2x-3

Step-by-step explanation:

5(x-2) is 5x-10 then add the -3x + 7, add 5x and -3x to get 2x then add -10 and 7 and get 3 so its gonna be D. 2x-3

Answer:

D. 2x - 3

Step-by-step explanation:

5(x - 2) - 3x + 7 = 5 · x - 5 · 2 - 3x + 7 = 5x - 10 - 3x + 7 = 2x - 3

Answer:

B by Pythagorean theorem

Step-by-step explanation:

20² = 12² + 16²

Answer: \frac{n^3-5n^2-3n-27}{n^2-8n-9}

Step-by-step explanation: enter this into a fraction calculator to see what is really is. sorry i needed to put this in a fraction calculator to put it here, i wish i couldve written it normally :(

Answer:

I'm not sure on what your asking could you explane

Answer:

8

Step-by-step explanation:

Let's say there are 3*x red marbles in the bag. As the ratio of red to blue is 3:2, that means that there are 2*x blue marbles in the bag. The total marbles are then

3*x+2*x= 20

= 5x

Divide both sides by 5 to get

x=4

2*x is the amount of blue marbles, and 2*x = 8

order the numbers from least to greatest and then subtract the lowest number from the greatest

ex : 4,6,9,3,7

the lowest number is 3 and the highest is 9 so 9-3 = 6 so for this example the answer is 6.

Answer:

The domain of given function is: [-7,7]

Step-by-step explanation:

Graphs can be used to determine the domain and range of a function.

On a graph, the values across the x-axis are domain and across y-axis are the range.

In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.

Hence,

The domain of given function is: [-7,7]

Answer:2^3

Step-by-step explanation:

Answer:

First one is the graph second one is the equation

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

as graphed