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jeka57 [31]
2 years ago
13

Help me please solve the following equation for x.

Mathematics
1 answer:
wlad13 [49]2 years ago
5 0

Answer:

x = 13

x = -5

Step-by-step explanation:

\frac{(x-4)^2}{3}-13=14\\\frac{(x-4)^2}{3}=27\\(x-4)^2=81\\x-4=\sqrt{81}\\\\ x-4=9\\x=13\\\\x-4=-9\\x=-5

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A rectangle has a perimeter of 30 ft. Find a function that models its area A in terms of the length x of one of its sides. What
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Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

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Also since the area of the rectangle is xy;

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The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

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Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

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6 0
3 years ago
Which multiplication problem is represented by the model
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Straight angles Are extremely important in geometry. When two lines intersect , they form multiple angles. In the diagram below,
rusak2 [61]
When two straight lines intersect, the vertical opposite angles intersect. the other two angles are also equal. Let the known angle be x, then the other two adjacent angles are obtained subtracting twice of x from 360 and dividing the result by 2.

Therefore, the table can by filled as follows:

Row 1:

Given <GEF = 120°

<FEM is adjacent to <GEF, thus
\angle FEM= \frac{360-2(120)}{2} \\ \\ = \frac{360-240}{2} = \frac{120}{2} =60^o

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.



Row 2:

Given <MEH = 150°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°

<FEM is adjacent to <GEF, thus
\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.



Row 3:

Given that <FEM = 25°

<FEM is adjacent to <GEF, thus
\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.



Row 4:

Given that <HEG = 45°

<HEG is adjacent to <GEF, thus
\angle GEF= \frac{360-2(45)}{2} \\ \\ = \frac{360-90}{2} = \frac{270}{2} =135^o

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.
4 0
3 years ago
Read 2 more answers
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