Isolate the variable by dividing each side by factors that don’t contain the variable.
X = -2
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Answer:
141.37
Step-by-step explanation:
Answer:
B. 40 meters
Step-by-step explanation:
— Estimating
The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.
The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.
Only one answer choice fits in the range 37 < d < 46.
____
— Detailed calculation
The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.
The circuit length is ...
AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters
Answer:
rectangle
Step-by-step explanation:
Perimeter of 20 feet
rectangle (square is technically a rectangle):
sides 5 and 5
5*5 = 25ft²
Circle:
20/(2π) = 3.18309...
3.1809...²π = 31.831ft²
Max area of rectangle (i.e. square) has a smaller area than a circle.
Answer:
D
Step-by-step explanation:
To be an identity we require both sides of the equation to equate
A
8x + 9 ≠ 8x - 3 ← not an identity
B
7x - 2 = 8x + 4 - x = 7x + 4 ≠ 7x - 2 ← not an identity
C
11 - (2x + 3) = 11 - 2x - 3 = - 2x + 8 ≠ - 2x - 8 ← not an identity
D
5x + 8 - x = 6x - 2(x - 4), that is
4x + 8 = 6x - 2x + 8 = 4x + 8 ← both sides equate thus an identity
