We found the factors and prime factorization of 9 and 25. The biggest common factor number is the GCF number. So the greatest common factor 9 and 25 is 1.
Answer:
3. Distributive
Step-by-step explanation:
In the equation 3(x - 2y) if you distribute the 3 to the x and the -2 you would get 3x-6y.
Answer:
Step-by-step explanation:
The attached diagram shows the given triangle labelled as triangle ABC. Line DE is parallel to line AB. It means that triangle DEC is similar to triangle ABC. Comparing the sides,
DC/DE = AC/AB
DC = 5
DE = 8
AC = 5 + x
AB = 10
Therefore,
5/8 = (5+x)/10
Cross multiplying
5 × 10 = 8(5 + x)
50 = 40 + 8x
8x = 50-40 = 10
x = 10/8 = 1.25
Similarly,
CE/DE = CB/AB
CE = 7
CB = 7 + y
DE = 8
AB = 10
Therefore
7/8 = (7+y)/10
Cross multiplying
7 × 10 = 8(7 + y)
70 = 56 + 8y
8y = 70 - 56 = 14
y = 14/8 = 1.75
Wow ! We might actually have to do some work for this one.
First, you have to find the area of the rectangle. I guess, just now,
that means the one who has to do that is me.
We know that it's a rectangle, because they told us so.
The corners are located at
(1, 4)
(4, 7)
(8, 3)
and
(5, 0).
Do you remember how to find the distance between 2 points ?
Distance = √ (difference-in-'x' ² + difference-in-'y' ²)
The distance between the first 2 points is √(3² + 3²) = √18
The distance between point-2 and point-3 is √(4² + 4²) = √32
The distance between point-3 and point-4 is √(3² + 3²) = √18
The distance between point-4 and point-1 is √(4² + 4²) = √32 .
Notice that it wasn't really necessary to find all four distances.
As soon as I found the first two distances, I knew that one is the length
of the rectangle and the other one is the width of the rectangle, so I didn't
have to bother finding the other two, because I knew that they would be
the same as the first two. I just did it anyway, to make SURE that they
were the same. That helped me be sure that I didn't make any mistakes.
So here we are, outstanding in our field. (Actually, in Ms. Stone's field.)
We have a rectangle with a length of √32 units and a width of √18 units.
The area of any rectangle is (length) · (width)
= (√32 units) · (√18 units)
= √(32 · 18) units²
= √ (576) units²
= 24 units² .
We also know that each square unit on the map indicates 16 acres.
So the actual area of the field is
(24 units²) · (16 acres/unit²) = 384 acres .
Ms. Stone sold the field for $858,240 .
The unit sale price was
($858,240) / (384 acres) = $2,235 / acre .
Ms. Stone can now move into the city and live the life of a rich lady.