Answer:
Width = 
Length = 
Step-by-step explanation:
We have to first find an equations with the given variables:
Now apply the area format:
Since the area is 108 square inches
Simplify:
Since no number can be negative
Answer:
4, 6 and 8
Step-by-step explanation:
The perimeter is the sum of the lengths of the 3 sides, hence
2x + 3x + 4x = 18
9x = 18 ( divide both sides by 9 )
x = 2
The 3 sides have length
2x = 2 × 2 = 4
3x = 3 × 2 = 6
4x = 4 × 2 = 8
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
B, C, and D are the correct answers
Common difference is -2-5 = -7
first term is 5
a_50 = 5 -7(50-1) = -338
2) d = 3 - (-7) = 10
a = -7
a_110 = -7 + 10(110 - 1) = 1083
d = -27 - (-22) = -5
second -7 - 5= -12
third = -12 - 5 = -17
