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diamong [38]
3 years ago
5

How far apart are the poles?

Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer:

80 meters :) lol

Step-by-step explanation:

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PLZ HELP IM 100% LOST ON THIS
xenn [34]

The equation f(x)=g(x) is

|x-4|-11=-\sqrt{5x}

Some observations:

  • \sqrt{5x} is defined only as long as 5x\ge0, or x\ge0
  • wherever \sqrt{5x} is defined, its value must be non-negative, so that -\sqrt{5x} is never positive
  • by the definition of absolute value, we have |x-4|=x-4 if x\ge4, and |x-4|=-(x-4)=4-x if x. Then

|x-4|-11=\begin{cases}x-15&\text{for }x\ge4\\-x-7&\text{for }x

If x, the equation becomes

-x-7=-\sqrt{5x}\implies x+7=\sqrt{5x}

Taking the square of both sides gives

(x+7)^2=\left(\sqrt{5x}\right)^2\implies x^2+14x+49=5x\implies x^2+9x+49=0

but since the discriminant is 9^2-4\cdot1\cdot49, there are no real solutions.

If x\ge4, then

x-15=-\sqrt{5x}

Taking squares gives

(x-15)^2=\left(-\sqrt{5x}\right)^2\implies x^2-30x+225=5x

and solving by the quadratic formula gives two potential solutions,

x=\dfrac{35\pm5\sqrt{13}}2

which have approximate values of 8.49 and 26.51.

We know for any value of x that g(x)\le0. We have f(8.49)\approx-6.51 and f(26.51)\approx11.51, so only the first solution 8.49 is valid.

8 0
3 years ago
How many numbers are 10 units from 0 on the number line? Type your answer as a numeral.​
timofeeve [1]

Answer:

There are two numbers 10 units from zero on the number line. These are 10 and -10.

Step-by-step explanation:

On a number line, if you move a pointer ten units right and left you will land on 10 and -10.

7 0
2 years ago
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units,
Ierofanga [76]

Answer:

k = 7

Step-by-step explanation:

Vertical shift down by 7units, f(x) - 7

g(x) = (0.5)x - 7

g(x) = (0.5)x - k

Comparing both equations, k = 7

4 0
2 years ago
Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net
goldenfox [79]

Answer:

y=153/1000x

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write three expressions that are equivalent to 2x+4c-15
Marysya12 [62]

Answer:

um 2x dos

Step-by-step explanation:

7 0
3 years ago
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