Answer:
p = 5 and q = -3
Step-by-step explanation:
nth term = pn^2 + qn where n is the sequence number.
first term = p + q = 2.....................(1)
2nd term = p(2)^2 + 2n = 14
4p + 2q = 14
2p + q = 7 .......................(2)
Subtract equations (2) -(1) :-
p = 7 - 2 = 5
and q = 2 - 5 = -3
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A square is a quadrilateral that has the same length on every side.
The area of the garden is 196 square feet. To find the area of a garden, you have to multiply the length times the width. Since you know that both widths are the same, you can simply just calculate the square root of 196. The square root of 196 is 14. So you know that one side is 14 feet in length.
Now you will need to find the perimeter. The perimeter of any polygon is the lengths of all sides added up. Since there are 4 sides on a square, and each side is the same length, you can just add 14, 4 times. 14+14+14+14 equals 56. So the perimeter of the garden is 56 feet.
Hannah will need 56 feet of fencing.
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9514 1404 393
Answer:
57.1°
Step-by-step explanation:
The sides of the rectangle are adjacent and opposite the angle, so the measure is ...
α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°
The angle between the diagonal and the short side is about 57.1°.
Answer:
C
Step-by-step explanation:
Given
p + 15 = 4 ( isolate p by subtracting 15 from both sides )
p = - 11 → C
