Answer: The points are, the top left one, (21,3) and the one on the bottom is (6, 12)
Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.
Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3
Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
Answer:
A. 4 B. log₂(2^4)
Step-by-step explanation:
A. log₂ 2 = log₂ 2¹ = 1
log₂ 8 = log₂ 2³ = 3
log₂ 2 + log₂ 8 = 1 + 3 = 4
B. *log₂ 2⁴ = 4
Since we know that law of order states that sum or product of any two specific numbers will be same irrespective to their order. 
and 
.
Law of order is only applicable for addition and multiplication. It is not applicable to subtraction and division. Let us see it by an example.
Law of grouping states that it does not matter how to order a group of numbers while adding or multiplying. 
and 
.
Law of grouping is not applicable to subtraction and division. Let us see it by an example.
Therefore, we can see that law of order and law of grouping is not applicable to subtraction.
We know that
Population density<span> is a measurement of population per unit area
</span>[population density]=population/area-----><span>7,112,688/426.25----> 16686.66
16686.66----------> 16687 person/square mile
the answer is
</span>16687 person/square mile
