Answer:
65 + 13i
Step-by-step explanation:
reminder that i² = - 1
13i(1 - 5i) ← multiply each term in the parenthesis by 13i
= 13i - 65i²
= 13i - 65(- 1)
= 13i + 65
= 65 + 13i ← in standard form
Answer:
x = 13
39° and 51°
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
This is a right angle triangle, so one side has a size of 90 degrees.
3x + 4x - 1 + 90 = 180
7x + 89 = 180
7x = 91
x = 91/7
x = 13
Put x as 13 to work out the size of the angles.
3(13) = 39
4(13) - 1
52 - 1 = 51
The answer to your question is option B
9514 1404 393
Answer:
72
Step-by-step explanation:
The difference of 45 means the difference of digits in the number is 45/9 = 5. So, the ones digit is 7-5 = 2, and the number is 72.
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If you want an equation, you can use x for the ones digit.
70 +x = 45 +(10x +7)
18 = 9x . . . . . . . . . . . . . subtract 52+x from both sides
2 = x
The ones digit is 2, so the number is 72.
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<em>Further explanation</em>
If you start with the two digits xy in a number and reverse them, the difference between the numbers xy and yx is ...
(10x +y) -(10y +x) = 9(x -y)
This tells you the difference between the digit-reversed numbers is 9 times the difference between the digits.
Hey!!
Your answer is C because quart means 4 and if you have rotated a 90* turn that means you have rotated One quarter and the only answer that matches that is C
Hope this helps!!
