<u>Answer:</u>
The line equation that passes through the given points is 7x – y = 13
<u>Explanation:</u>
Given:
Two points are A(2, 1) and B(3, 8).
To find:
The line equation that passes through the given two points.
Solution:
We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by

..........(1)
here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.
Now substitute the values in (1)


y – 8 = 7(x – 3)
y – 8 = 7x – 21
7x – y = 21 – 8
7x – y = 13
Hence, the line equation that passes through the given points is 7x – y = 13
Answer:
C. volume
Step-by-step explanation:
The response variable in this scenario would be the volume of the usable lumber. That is because this variable depends completely on the height of the cherry trees that are being measured. The higher that the cherry trees are the more volume can be expected to get from cutting these trees down. The opposite goes for trees that are smaller, they would decrease the total expected volume that will be received from the usable lumber since there would be less amount of tree to cut down.
Answer: x=10
Step-by-step explanation:
=
=
5(x+5)=3(3x-5)
5x+25=9x-15
25=4x-15
4x=40
x=10
Answer:
last Monday is 27
Step-by-step explanation:
perfect square: 4, 9 , 16
2nd Thursday is a day >5 and < 14 day from the begining of the month, therefore the only day fit the criteria is 9th of the month.
last Monday is 27
Sun Mon Tue Wen Thu Fri Sat
9 10 11
12 13 14 15 16 17 18
.........................................................
26 27
In order to calculate the total cost of the purchase, we must first assess that there were two items bought, turkey and lamb. Next, we see multiply the cost of the first item by its quantity, so:
cost(T) = 2.15 * 7.89
cost(T) = $16.96
And repeat for the second item:
cost(L) = 1.87 * 7.89
cost (L) = $14.75
Finally, the total cost is the sum of these costs. So
Total = 16.96 + 14.75
Total = $31.71