Answer:
<em>-26 or 14</em>
Step-by-step explanation:
Given that
Coordinate of point A is -6.
Length of AB = 20
To find:
Coordinates for the point B = ?
Solution:
We are given that:
AB = 20
In other words, we can use modulus function to define the distance between A and B:
|Coordinates of B - Coordinates of A| = 20
Let the coordinates of B = 
Kindly refer to the attached image for the given situation.
Point B might be either on the left or on the right side of A.
That means:
Now, let us have a look at the modulus function:
So,
Therefore, the answer is:
<em>-26 or 14</em>
Answer:
2c(c - 3)(c - 8)
Step-by-step explanation:
Hello!
Factor:
- 2c³ - 22c² + 48c
- 2c(c² - 11c + 24)
Think: What two numbers multiply to 24, and add up to -11?
Answer: -8 and -3
Split up the -11c into -8c and -3c:
- 2c(c² - 8c - 3c + 24) (factor each pair)
- 2c( c(c - 8) - 3(c - 8))
- 2c(c - 3)(c - 8)
<u>Answer:</u>
5 hours was Aaron at the sitter
<u>Explanation:
</u>
Cost of baby sitting for the first hour: 10
Cost of baby sitting for additional hour= 12
Total cost of babysitting= 58
Since the cost of first hour is 10
Hence the remaining cost after first hour
= 54-10
=48
Which means 1 hour is consumed in the first hour
Now to calculate the remaining hours for every additional hour
= 
=4 hours
Hence the total hour Aaron was with the sitter
= 1 hour + 4 hours
= 5 hours
Answer:
- 8 3/4
- 2, 3
- 4 1/2, 11 1/4
- 9 3/4, 16 1/4
- Y/B = 2/3
Step-by-step explanation:
<h3>a)</h3>
The first line is simply the sum of the two given numbers.
3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4
__
To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...
Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3
Then ...
Y : B : total = 2 : 3 : 5
This tells you the numbers on the second line are ...
Y = 2; B = 3
__
The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...
Y = 2(2 1/4) = 4 1/2
total = 5(2 1/4) = 11 1/4
__
The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...
B = 3(3 1/4) = 9 3/4
total = 5(3 1/4) = 16 1/4
_____
<h3>b)</h3>
The equation is the one we used to find the values on the second line:
Y/B = 2/3
Answer:
B.
Step-by-step explanation:
There are 5 total 6-packs of cola. 1 is cherry and the other is vanilla. 2 out of 5 are the flavors. This means you have a 2 in 5 chance of getting a cherry or vanilla cola.
