Answer:
xy
2xy
4
Step-by-step explanation:
A factor is a number of term you can factor out of each part of the expression/ or divide it by.
In -24xyz - 12xy + 20xyz
All three parts have xy, so it is a factor
All three don't have 12xz, because -12xy doesn't have z variable for instance.
All three have 2xy.
All three can't factor out 3y, because you can't divide 20 by 3 nicely.
All three can't factor out 4yz, because middle term -12xy doesn't have z.
All three can't factor out 12, because you can't nicely divide 20/12.
All three can factor out 4, because -24, -12, and 20 are all divisible by 4.
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Answer:
a = -2
b = 1
c = 5
Step-by-step explanation:
Given:
2a + 4b + c = 5 ............(1)
a - 4b = - 6
or
a = 4b - 6 .............(2)
2b + c = 7
or
c = 7 - 2b ...........(3)
substituting 2 and 3 in 1, we get
2(4b - 6 ) + 4b + (7 - 2b) = 5
or
8b - 12 + 4b + 7 - 2b = 5
or
10b - 5 = 5
or
b = 1
substituting b in 2, we get
a = 4(1) - 6
or
a = -2
substituting b in 3, we get
c = 7 - 2(1)
or
c = 5
thus,
a = -2
b = 1
c = 5
Answer:
(y2-y1)/(x2-x1)
Step-by-step explanation:
Using two coordinates, you can just plug in the corresponding (x,y) coordinates and you will get the slope, which is the rate of change over an interval
Answer:
102.222 square yards of light.
Step-by-step explanation:
From the above question, the yard had the dimensions 40 feet long and 23 feet wide.
Hence, the yard is rectangular in shape.
We have to find the area of the yard.
The formula is given as:
Area = Length × Width
= 40 feet × 23 feet
= 920 square feet
Converting to yards
1 square foot = 0.111 square yard
920 square feet = x
Cross Multiply
x = 920 × 0.111 square yard
x = 102.222 square yards.
Therefore, Robbert would need 102.222 square yards of light.