Answer:
x² + y² = 4
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ← r is the radius]Here r = 2, thus
x² + y² = 4
First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
Answer:
Step-by-step explanation:
Using the rules of exponents
× 
= 
, 
= 
, 
= 
Simplifying the product of the first 2 terms
× 
= 
× 
= 
Simplifying the third term
5(
= 5
= 5
Performing the division, that is
← cancel on numerator/ denominator leaves
=
The mean is where you add all of the numbers in that set together, and divide it by the amount of numbers you have. E.g. For Set 1 - 10 + 15 + 20 + 25 + 30 + 50 = 150 ÷ 6 = 25
For Set 2 you just repeat the process:
1. Add the numbers in the set together, this gives you a total of 111
2. Then divide 111 by 5 as you have 5 numbers, giving you 22.2
Therefore set 1 has the higher mean :)
The answer is C, set 1, 25 :)
Inverse Property, I am pretty sure. Not sure though.
