The first one is 20 and the second one is 19 and the third one is 25 and the fourth one is 15 and the fifth one is 11 and the sixth one is 28
Let b= length and a=width
Area= a*b and the problem said b=2a+3 (the length is 3ft more than double the width)
Replace b into Area formula:
Area= a*(2a+3) and we know that Area=77ft from the problem, so:
77=2a^2+3a now order and equal to zero:
2a^2+3a=77 now solve this with quadratic formula and you will get so values for a: -7ft and 5.5ft as you know the dimensions could not be negative so the correct answer for "a" side is 5.5ft, for getting the b side you haeve to replace a=5.5 into b=2a+3 and you will get b=2*5.5+3= 14ft.
Finished.
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➷ If you think about the positioning on a number line, -3 would be the closest to 0 - making it the largest. The next largest would then be -5 and then finally -8.
As per the options, the correct one would be D
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Answer:
C
Step-by-step explanation:
We know that function <em>h</em> represents an object's height in feet after <em>x</em> seconds.
In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.
Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.
Therefore, neither A nor B are correct.
Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.
In other words, the object's height increased by 100 feet over the first 15-second period.
Option C is correct.
For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.
Answer:
Step-by-step explanation:
Opposite angles in an inscribed quadrilateral are supplementary, so ...
∠B +∠D = 180°
(3x -4) +(2x -6) = 180
5x = 190 . . . . . . . . . . . add 10, collect terms
x = 38 . . . . . . . . . . . . . divide by 5
∠D = 2(38) -6 = 70
∠B = 180 -70 = 110
The measures of angles B and D are 110° and 70°, respectively.
