I worked it out and I got south Africa
Answer:
8
Step-by-step explanation:
–16 • 1/8 • 4 + 32 ÷ 2
Using PEMDAS, we multiply and divide from left to right since there are no parentheses or exponents.
-2 • 4 + 32 ÷ 2
-8 +32 ÷ 2
-8 + 16
Now we add and subtract from left to right
8
The solution of 
are 1 + 2i and 1 – 2i
<u>Solution:</u>
Given, equation is
We have to find the roots of the given quadratic equation
Now, let us use the quadratic formula
--- (1)
<em><u>Let us determine the nature of roots:</u></em>
Here in a = 1 ; b = -2 ; c = 5
Since 
, the roots obtained will be complex conjugates.
Now plug in values in eqn 1, we get,
On solving we get,
we know that square root of -1 is "i" which is a complex number
Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i
Answer:
y ≤ 2x + 4 and x + y ≥ -6
Step-by-step explanation:
Graphing a system of inequalities is similar to graphing linear functions. It is best to have equations in the form of y = mx + b where m = slope and b = y-intercept. Looking at the graph, you can see that there is one line going uphill (positive slope) and one going downhill (negative slope). There are two y-intercepts, one from each line at (0,4) and (0, -6) So, only the top two equations have a y-intercept equal to 4 and -6. Then, you can find the slope of each line by choosing two points on the same line and using rise/run to find the change in 'y' over the change in 'x'.
Line #1 (uphill): (-2, 0) and (0, 4) = 4-0/0- -2 = 4/2 = 2
The only answer with a positve 2 slope and y-intercepts of 4 and -6 is the second one, so that is your answer.
Answer:
<u>36</u>
Step-by-step explanation:
Divide 135 by 15 to get the multiplying factor, which is 9, and then multiply it by 4 to get 36.
