Given :
A complex number z = 10 - 13i .
To Find :
Which quadrant will the complex number (10 - 13i) be found.
Solution :
Coefficient of real part of complex number, r = 10.
Coefficient of imaginary part of complex number, i = -13.
Since, the coefficient of imaginary part is -ve and real part is +ve .
Therefore, the complex number is in 4th quadrant.
Hence, this is the required solution.
Answer:
The equation of the line is y=1x and I will show you a picture of a graph with your points and a line of that equation.
Step-by-step explanation:
Answer:
21.07 ft²
Step-by-step explanation:
Radius = 7
Length of the rectangle = 2 * 7 = 14 ft
Area of rectangle = 14 * 7 = 98 ft²
Area of semicircle = π(7)²/2 = 76.93 ft²
So the are of shaded region = 98 - 76.93 = 21.07 ft²
Answer:
(12/5)m^3
Step-by-step explanation:
It's easier for most of us to write out a fraction / ratio without the " / " symbol:
48m^7
------------
20 m^4
Separate the coefficients from the powers of m:
48 m^7
----- * -------- Now let's reduce each fraction separately:
20 m^4
48/20 = 12/5, and
(m^7) / (m^4) = m^(7-4) = m^3
... so that our final answer is (12/5)m^3.
Answer:
15x^2 - 12x^3
Step-by-step explanation:
A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.
It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.
Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:
4*x + 4*3x + 4*height = 20
4x + 12x + 4h = 20
16x + 4h = 20
4h = 20 - 16x
h = 5 - 4x
Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.
x*3x*(5-4x)
3x^2(5-4x)
15x^2 - 12x^3
Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer
