This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.
let the two numbers be x and y.
Multiply to 44. x*y = 44 ..........(a)
Add up to 12. x + y = 12 .........(b)
From (b)
y = 12 - x .......(c)
Substitute (c) into (a)
x*y = 44
x*(12 - x) = 44
12x - x² = 44
-x² + 12x = 44
-x² + 12x - 44 = 0.
Multiply both sides by -1
-1(-x² + 12x - 44) = -1*0
x² - 12x + 44 = 0.
This does not look factorizable, so let us just use quadratic formula
comparing to ax² + bx + c = 0, x² - 12x + 44 = 0, a = 1, b = -12, c = 44
x = (-b + √(b² - 4ac)) /2a or (-b - √(b² - 4ac)) /2a
x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)
x = (12 + √(144 - 176) )/ 2
x = (12 + √-32 )/ 2
√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2
Where i is a complex number. Note the equation has two values. We shall include the second, that has negative sign before the square root.
x = (12 + √-32 )/ 2 or (12 - √-32 )/ 2
x = (12 + 4i√2 )/ 2 (12 - 4i√2 )/ 2
x = 12/2 + (4i√2)/2 12/2 - (4i√2)/2
x = 6 + 2i√2 or 6 - 2i√2
Recall equation (c):
y = 12 - x, When x = 6 + 2i√2, y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2
When x = 6 - 2i√2, y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2
x = 6 + 2i√2, y = 6 - 2i√2
x = 6 - 2i√2, y = 6 + 2i√2
Therefore the two numbers that multiply to 44 and add up to 12 are:
6 + 2i√2 and 6 - 2i√2
Answer:
Point C is located on the x-axis.
Step-by-step explanation:
edge 2020
Answer:
The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.
Step-by-step explanation:
It is given that x-intercept is 1 and y-intercept is -2.
Now, the coordinate of the point is (1,0) and (0,-2).
We know that,
Slope = 
Now, Slope of the graph given
Co-ordinate is (-5,0) and (1,2).
Using the formula of slope
Now, 
Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.
Answer:
Yes, Kedir made profit.
Step-by-step explanation:
0.30 x 200 = 60 Birr
60 Birr is more than 50 Birr
He made profit of 10Birr, which is 20% of 50 Birr
Answer: Option C
Step-by-step explanation:
In group(1), the risk is= 5/2000 x 100
= 0.25
In group(2), the risk is= 5/1000 x 100
= 0.5
The sample relative risk is= 0.25/0.5
= 0.5
So, option C is correct.
