Answer:
48 + 18√13 cm²
Step-by-step explanation:
HC = BC/2 = 4m/2 = 2 m
AC = √AH² + HC² = √9 + 4 = √13
A = 2×A(ABC) + 2×A(ACFD) + A(BCFE)
= 2×AH×BC/2 + 2×AC×CF + BC×CF
= 2×3×4/2 + 2×√13×9 + 4×9
=12 + 18√13 + 36
= 48 + 18√13 cm²
48m^5n: 3*2^4*m^5n
81m^2n^2: 3^4m^2n^2
GCF: 3*m^2n
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:
First Picture: -2/7
Second Picture: 9/5
Third Picture: 5/3
Not sure of the others
Step-by-step explanation:
Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
