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horsena [70]
2 years ago
10

Write -2i + (9 - 3i) - (6 - 10i) as a complex number in standard form. 3 - 5i 3 + 5i 3 + 16i 12 - 16i

Mathematics
1 answer:
Ierofanga [76]2 years ago
7 0

Answer:

3 + 5i

Step-by-step explanation:

Given

- 2i + (9 - 3i) - (6 - 10i) ← distribute parenthesis

= - 2i + 9 - 3i - 6 + 10i ← collect like terms

= 3 + 5i

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Find the surface area of this cube 7m 7m 7m. Be sure to include the correct unit in your answer.
7nadin3 [17]

Answer:

294m^2

Step-by-step explanation:

The area of one face of the cube would be 7 x 7 = 49 m^2

Since there are 6 faces on a cube, the total surface area would therefore be 49 x 6 = 294m^2

4 0
2 years ago
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height
Lady_Fox [76]

Problem

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.

By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent. ​

Solution

the volume of a cylinder is given by:

V=\pi r^2h

We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:

V=\pi(1.15r)^2\cdot(1.15h)=1.15^2\cdot1.15\cdot\pi\cdot r^2\cdot h=1.52\pi r^2h

And the new volume would increase about 52%

5 0
1 year ago
Can someone help me with 5-9 please?!?!? Thank you
valina [46]

5 is 1!!!!!!

Step-by-step explanation:

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3 0
2 years ago
The question is on the attached image :)
olga_2 [115]
The mean can be found by adding the two numbers and dividing by 2

let the second number be y

(x + y)/2 = 1/2x + 1

solve for y

multiply each side by 2
x + y = 2(1/2x + 1)
distribute
x + y = x + 2
subtract x on both sides
y = 2

ANSWER: the second number is 2

6 0
2 years ago
The students in Mr. Nolan's class are writing expressions for the perimeter of a rectangle of side length ? and width w.
uranmaximum [27]
You wanna know witch student is correct?
6 0
2 years ago
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