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qwelly [4]
3 years ago
15

Find the additive inverse of -7+5i.

Mathematics
1 answer:
Deffense [45]3 years ago
4 0

Answer:

Required additive inverse is -7-5i.

Step-by-step explanation:

Given number is -7+5i.

Now we need to find about what is that additive inverse of the given number -7+5i.

We know that if complex number is a+bi then it's additive inverse is given by a-bi.

Basically we need to change the sign of imaginary term.

imaginary term in given number -7+5i is +5i.

Changing sign of +5i gives -5i.

Hence required additive inverse is -7-5i.

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If the volume of the pyramid shown is 360 inches cubed, what is its height?
GenaCL600 [577]
<h3>Answer: 9 inches (choice D)</h3>

Work Shown:

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(12*10)*h

V = (1/3)*120h

V = 40h

Set this equal to the given pyramid volume 360 cubic inches and solve for h

40h = 360

h = 360/40

h = 9

5 0
3 years ago
Read 2 more answers
At a restaurant, 5/8 of tye customers who ordered dessert chose apple pie, and 1/3 chose cherry pie. The rest of the customers w
djyliett [7]

5/8 = 15/24

1/3 = 8/24

15 + 8 =23/24 customers chose pie as a dessert, leaving 1/24 who ordered ice cream. The answer is A.


Hope this helps!

3 0
3 years ago
1). Solve for x 3x-6=7x+18
Blizzard [7]
3x - 6 = 7x + 18

(Move terms)

3x - 7x = 18 + 6

(Collect the terms)
(Calculate the sum)


-4x = 24

(Divide both sides by -4)

x = -6

4 0
3 years ago
If a plant is planted and starts its height at 3 in and grows 2 in every week. when will the plant be 60 in tall?​
nadezda [96]

Answer:

28.5 weeks

Step-by-step explanation:

First, subtract 3 from 60:

60 - 3

= 57

Then, divide this by 2:

57/2

= 28.5

So, the plant will be 60 in tall after 28.5 weeks

6 0
3 years ago
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A slide is 21 ft long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the distance, b, from
lutik1710 [3]
<em>FIRST QUESTION:</em>

The slide is 21 ft long. You can imagine that this slide is actually the <u>hypotenuse</u> of a right angled triangle.

To get to the top of the slide you must climb up a vertical 9 foot ladder. You can imagine that this ladder is the <u>opposite</u> side of the right angled triangle.

Now, the distance between the bottom of the ladder and the bottom of the slide can be thought of as the <u>adjacent</u> side of this right angled triangle.

We know, thanks to Pythagoras that:

A²+O²=H²

A = Adjacent length = b

O = Opposite length

H = Hypotenuse

Therefore:

b²+9²=21²

b²=21²-9²

b²=360

b=√360=18.97 (2dp)

So the answer you are looking for is <u>19 feet</u> to the nearest tenth (answer: B).

<em>SECOND QUESTION:</em>

18²+24²=30²  (Yes)

Therefore the answer to the second question is YES (answer: A).
5 0
3 years ago
Read 2 more answers
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