<span>-x^2 y^2 + x^4 + 4y^2 - 4x^2
= </span>x^4 -x^2 y^2 - 4x^2 + 4y^2<span>
= x^2 (x^2 - y^2) - 4 (x^2 - y^2)
= (x^2 - y^2)(x^2 - 4)
= (x + y)(x - y) (x + 2)(x - 2) (....using a^2 - b^2 = (a+b)(a-b) )
hope it helps</span>
37 I ?
I 48
I
I ?=55 degrees
L__________
adj
U have to measure it
Given:
Since R is the midpoint of the line, we can set XR equal to RY and solve for x.
Now we know what x is. We can plug in x to RY and XR and then add it all together to find XY. Let's find XR:
Let's find RY now:
Since we know that:
We can plug in our answers:
Final answer:
Answer:
sample standard deviation is $50
Step-by-step explanation:
Given a population standard deviation of $500 and a random sample of size, n=100.
-The sample standard deviation is calculated using the formula:
Where:
- is the sample standard deviation.
- is the sample size.
- is the population standard deviation
Therefore:
Hence, the sampling distribution has a mean of $1,500 and a standard deviation of $50
Answer:
1. length of the segment = 5 units
2. length of the segment = 9.22 units
Step-by-step explanation:
To find the length of a segment joining two points (x,y) and (x',y') we always use the formula
Distance between the points = √(x-x')²+(y-y')²
In our question the given points are (-1,6) and (-5,3) the distance between them will be = √(-1+5)²+(6-3)² = √4²+3² = √16+9 =√25 = 5 Units
2. Length between the points (-4,1) and (3,7) will be = √(-4-3)²+(1-7)²
= √(-7)²+(-6)² = √49+36 = √85 = 9.22 units