Answer:
x + y = 4
Step-by-step explanation:
Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.
Now, (x + iy)(1 - 3i) = 10
⇒ x(1 - 3i) + iy(1 - 3i) = 10
⇒ x - 3xi + iy - 3yi² = 10
⇒ (x + 3y) + i(y - 3x) = 10
Now, comparing the real and imaginary part of both sides we get,
(x + 3y) = 10 ............. (1) and
y - 3x = 0
⇒ y = 3x ............... (2)
Solving equations (1) and (2) we get
x + 3(3x) = 10
⇒ x = 1
So, y = 3x = 3
Therefore, x + y = 1 + 3 = 4 (Answer)
We know that the Pythagorean Theorem is a² + b² = c² and that the area of a square is l x w.
Firstly, we'll have to find the two measures of the triangle that correspond to the areas.
Since the figures are squares, we know that the length and width values must be the same.
We could square the numbers to find the side lengths, however we would have to square them again when substituting for the Pythagorean Theorem, so we can leave them as-is and adjust the equation accordingly.
(33) + b² = (44)
Next, we'll subtract our smaller value from our larger.
b² = (11)
Once again, we could find the square root of this number, but we'd just have to square it again to find the area of the square, so we can just simply write our answer as 11 units.
Therefore, the area of the square is 11 units!
<em>Hope this helped! :)</em>
Answer:
To make the value as static so that it does not change when we click anywhere in theexcel sheet, the best method is to use simple paste.
Answer:
Step-by-step explanation:
let x represent the number of minutes of call made.
Let y represent the cost for x minutes of call.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (10.86 - 5.91)/(10 - 5)
m = 4.95/5 = 0.99
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 10, y = 10.86 and m = 0.99 into y = mx + c. It becomes
10.86 = 0.99 × 10 + c = 9.9 + c
c = 10.86 - 9.9
c = 0.96
The linear function becomes
y = 0.99x + 0.96
Therefore, for $12, the number of minutes would be
12 = 0.99x + 0.96
0.99x = 12 - 0.96
0.99x = 11.04
x = 11.04/0.99
x = 11.15 minutes
Answer:
2:48
Step-by-step explanation:
48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though