Answer:
Slope: 1
Step-by-step explanation:
In this question, we need to find the slope with the given points.
To find the slope, we would use the equation:
m = y2-y1/x2-x1
Plug in your coordinates and solve:
m = 0 - 7/-2 - 5
m = -7/-7
Two negatives cancel each other to make a positive, and 7/7 = 1
m = 1
This means that the slope would be 1.
Answer:
See below.
Step-by-step explanation:
(a) Because the solution led to a square root of a negative number:
x^2 -10x+40=0
x^2 - 10x = -40 Completing the square:
(x - 5)^2 - 25 = -40
(x - 5)^2 = -15
x = 5 +/-√(-15)
There is no real square root of -15.
(b) A solution was found by introducing the operator i which stands for the square root of -1.
So the solution is
= 5 +/- √(15) i.
These are called complex roots.
(c) Substituting in the original equation:
x^2 - 10 + 40:
((5 + √(-15)i)^2 - 10(5 + √(-15)i) + 40
= 25 + 10√(-15)i - 15 - 50 - 10√(-15)i + 40
= 25 - 15 - 50 + 40
= 0. So this checks out.
Now substitute 5 - √(-15)i
= 25 - 10√(-15)i - 15 - 50 + 10√(-15)i + 40
= 25 - 15 - 50 + 40
= 0. This checks out also.
4/x + 1/x =2-7
5/x = -5
5/-5=x
-1=x
Answer x = -1
Perimeter is all outside lengths added up. So 8+8=16. 15+15=30
16+30= 46.
