Answer: b. 14ft
Step-by-step explanation:
In the rectangle, the opposite sides are equal. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of both right angle triangles. The length and width represents the opposite and adjacent sides of the right angle triangles.
To determine the length, L of the rectangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + 7²
256 = L² + 49
L² = 256 - 49 = 207
L = √207
L = 14.38
the closest to the length of this rectangle in feet is
14ft
Answer:
Adding like terms! Hope this Helps!
Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
- 3x - 5y = - 7 → (1)
- 4x + 5y = 14 → (2)
Add the 2 equations term by term to eliminate y , that is
- 7x + 0 = 7
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
- 3(- 1) - 5y = - 7
3 - 5y = - 7 ( subtract 3 from both sides )
- 5y = - 10 ( divide both sides by - 5 )
y = 2
solution is (- 1, 2 )
Put it in an improper fraction by multiply the coefficient with the denominator and add the numerator.
5/2 , 14/3
Find a common denominator which would be 6.
5/2 = 15/6 , 28/6
Add those together.
15/6 + 28/6 = 43/6
Since it can't be simplified the answer is 43/6
