Answer:
6
x
^2
−
5
x
y
−
4
y
^2
Step-by-step explanation:
Expand
(
2
x
+
y
)
(3
x
−
4
y
)
using the FOIL Method.
Apply the distributive property.
2
x
(
3
x
−
4
y
)
+
y
(
3
x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)+
2
x
(−
4
y
)
+
y
(
3x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)
+
2
x(
−
4
y
)
+
y
(
3
x)
+
y
(
−4
y
)
Simplify and combine like terms.
6
x
^2
−
5
x
y
−
4^
2
Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.
The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2
Given that the softball diamond is square in shape.
Let the side of the square i.e. distance between consecutive bases is x
The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.
Using the Pythagorean theorem we have:
x² +x²= c²,
where c is the distance from the 1st base to the 3rd base.
Combining similar terms gives us
2x²=c²
Taking the square root of both sides we have
√2x²= √c²
⇒x√2=c
⇒c=x√2
This is the expression for the distance from the 1st base to the 3rd base in terms of side length.
Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.
Learn more about the Pythagorean theorem
here: brainly.com/question/231802
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Answer: 27.44 % decrease in gas prices
Step-by-step explanation: First subtract 2.15 by 1.56 to get 0.59
then divide it by the starting value which is 2.15
0.59 divided by 2.15 is approximately 0.2744
then multiply times 100 to get 27.44 %
hope this helps mark me brainliest if it helped
Answer:
c
Step-by-step explanation:
