Answer:
The number of counties in state A are 70.
The number of counties in state B are 68.
Step-by-step explanation:
The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 138.
Let the two consecutive even integers be x and x+2.
As their sum is 138, we can denote this mathematically as :




Now, we get x = 68
And
= 70
Hence, the two numbers are 68 and 70.
So, the number of counties in state A are 70.
The number of counties in state B are 68.
The correct answer is y=-x+4
Further explanation:
Given equation of line is:

Comparing it with the standard point-slope form

We get
y = -x+10
So
m = -1
As the new line is parallel to given line it will also have m=-1 as slope of two parallel lines is equal
For finding b, we will put the point and value of m in standard form

Hence the equation will be:

The correct answer is y=-x+4
Keywords: Slope, Equation of line, Point-slope form
Learn more about Point-slope form of equation of line at:
#LearnwithBrainly
Difference of two squares:
x² - y² = (x - y)(x + 8)
So for difference of squares that has (x -8) as one of the factor.
The other factor is (x + 8)
(x - 8)(x + 8) = x² - 8²
= x² - 64.
Answer: d. s ≥ 23
Step-by-step explanation:
Let s be the side of the square.
We know that the perimeter of a square =4s
Let f(s)=4s
If the cardboard should have a perimeter equal to at least 92 inches, the inequality would look like

Divide both sides by 4, we get

Thus, d. is the right answer. The reasonable domain of f(s) is 
<em>Question:</em>
<em>Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
</em>
<em>The following equation describes this situation 14.2 + (-16,5) = -2.3
.</em>
<em>What does -16.5 tell us?</em>
<em></em>
Answer:
The displacement between his current position and his initial position
Step-by-step explanation:
Given



Required
What does -16.5 represents?
<em>To understand this, we need to first calculate the displacement between his initial and final position</em>
<em></em>



<em>So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)</em>