Answer:
The simplified expression for the perimeter of the rectangle is 6w+6.
An equation that can be used to find w is 6w+6 = 36.
The width of the rectangle is 5 units
Step-by-step explanation:
By the given information,
The length of the rectangle = 2w + 3,
Where, Width = w,
We know that,
Perimeter of a rectangle = 2 × ( length + width )
According to the question,
Perimeter = 36 units,
Subtracting 6 on both sides,
Divide both sides by 6,
Thus the width of the rectangle is 5 units.
Answer:
Step-by-step explanation:
The standard equation of a hyperbola is given by:
where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²
Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)
The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61
The foci is (h ± c, k) = (±√98, 0). Therefore c = √98
Hence:
c² = a² + b²
(√98)² = (√61)² + b²
98 = 61 + b²
b² = 37
b = √37
Hence the equation of the hyperbola is:
Answer:
266
Step-by-step explanation:
if a 45 minute workout is 1000 calories, at the same rate, a 12 minute workout would be 266 calories and 2 thirds. x 1000 = 266