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sasho [114]
3 years ago
7

Please help me on this thank u

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0
If h=0 represents the base of the model, then ...
  The bridge touches the base of the model at 2 feet and 6 feet from the leftmost edge of the model.

_____
When in doubt, use your calculator to graph it.

Here, the solution is not so hard. We're looking for h(x) = 0.
Multiply by -2
  (x -4)² -4 = 0
  (x -4) = ±√4
  x = 4 ±2 = {2, 6}

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What is a factor table
SashulF [63]
A factor table is like this chart of numbers.
7 0
3 years ago
A cylinder shaped water tank has a diameter of 8 m and a height of 20 m.
aev [14]

Answer:

602.88 cu ft.

Step-by-step explanation:

V = Bh where B is the area of the base, which is a circle in your problem.

Since the diameter is 8, the radius is 4.

So, B = \pi r^{2}  = 3.14(4^{2} )  = 3.14(16) = 50.24

V = Bh = 50.24(20) = 1004.8 cu ft = total volume of tank

60% of that volume is .60(1004.8) = 602.88 cu ft.

7 0
3 years ago
Use natural logarithms to solve the equation 9e 4x = 54 forx. Give the exact solution and an approximate
GuDViN [60]

Answer:

.448

Step-by-step explanation:

9e^{4x} = 54 \\e^{4x} = 54/9\\e^{4x} = 6\\ln{6} = 4x\\ln{6}/4 = x\\.448 =x\\(approx)

8 0
3 years ago
Fill in the table using this function rule. y=-3x-5
Gelneren [198K]

Answer:

1, -2, -5, -8

Step-by-step explanation:

(-3*x)-5

just do that i swear

7 0
3 years ago
Read 2 more answers
The length of a rectangle is 5 inches more than its vedth. The area of the rectangle is equal to
jarptica [38.1K]

Answer:

  • The width = x = 14
  • The length = x+5 = 14+5 = 19

Step-by-step explanation:

Let  l  = length,  w = width,  A = area =  l×w , and  P  = perimeter =  2(l+w)

Let 'x' be the width

As the length 'l' of a rectangle is 5 inches more than its width.

so the length will be = x+5

As the Area of the rectangle is equal to  2 inches more than 4 times the perimeter.

A = 4P + 2

so the equation becomes

l × w = 4×2(l+w)+2

substituting w=x, l = x+5,

(x+5)x = 8(x+5+x)+2

x²+5x = 8(5+2x)+2

x²+5x = 40+16x+2

x²+5x = 16x+42

x²+5x-16x-42 =0

x²-11x-42=0

x^2-11x=42

\mathrm{Add\:}a^2=\left(-\frac{11}{2}\right)^2\mathrm{\:to\:both\:sides}

x^2-11x+\left(-\frac{11}{2}\right)^2=42+\left(-\frac{11}{2}\right)^2

x^2-11x+\left(-\frac{11}{2}\right)^2=\frac{289}{4}

\left(x-\frac{11}{2}\right)^2=\frac{289}{4}

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solving

x-\frac{11}{2}=\sqrt{\frac{289}{4}}

x-\frac{11}{2}=\frac{\sqrt{289}}{\sqrt{4}}

x-\frac{11}{2}=\frac{\sqrt{289}}{2}

x-\frac{11}{2}=\frac{17}{2}

x-\frac{11}{2}+\frac{11}{2}=\frac{17}{2}+\frac{11}{2}

x=14

similarly solving

x-\frac{11}{2}=-\sqrt{\frac{289}{4}}

x-\frac{11}{2}=-\frac{17}{2}

x-\frac{11}{2}+\frac{11}{2}=-\frac{17}{2}+\frac{11}{2}

x=-3

so

x = 14, or x = -3

As the width 'x' can not be negative.

so x = 14

Thus,

  • The width = x = 14
  • The length = x+5 = 14+5 = 19

6 0
3 years ago
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