Answer:
![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
THe slope of a straight line is given by the formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Where
m is the slope
x_1 and y_1 are the first coordinate pair points [(2,3)]
x_2 and y_2 are the second coordinate pair point [(8,6)]
So, we know that:
x_1 = 2
x_2 = 8
y_1 = 3
y_2 = 6
Now we substitute and find the value of slope to be:
![m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{6-3}{8-2}\\m=\frac{3}{6}\\m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5Cm%3D%5Cfrac%7B6-3%7D%7B8-2%7D%5C%5Cm%3D%5Cfrac%7B3%7D%7B6%7D%5C%5Cm%3D%5Cfrac%7B1%7D%7B2%7D)
Hello! The common distance of the sequence is 18. This is because 74 and 92 are 18 units apart, 74 and 56 are 18 units apart, 56 and 38 are 18 units apart, and so on. You can find the difference of the sequence by finding the distance between two numbers.
Answer:
4 minutes
Step-by-step explanation:
Let the time taken for them to have the same number of strawberries be x minutes.
<u>Initially</u>
Ruby: 10 strawberries
Sapphire: 30 strawberries
<u>After x minutes</u>
Ruby: (10 +3x) strawberries
Sapphire: (30 -2x) strawberries
Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,
10 +3x= 30 -2x
Bring all x terms to one side, constant to the other:
3x +2x= 30 -10
Simplify:
5x= 20
Divide both sides by 5:
x= 20 ÷5
x= 4
∴ It will take 4 minutes.
Answer:
3
Step-by-step explanation:
12-4=5 and 1+3+1 also equals 5.
Answer:
A) g = 11
Step-by-step explanation:
26 = 7g - 63 + 12
26 = 7g - 51
77 = 7g
g = 11