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3 years ago

11

If f(x)= 1/2x-6, what is the equation for r1(x)?

1 answer:

Natasha2012 [34]3 years ago

8 0

Answer:

G(x)

Step-by-step explanation:

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Raymond was riding a zip-cable from the top of a viewing post. The cable is 65 yards long. The viewing post is 52 yards high and

grin007 [14]

In order to figure out the horizontal distance Raymond travels using his zip cable, we may simply apply Pythagoras theorem which is, for a right triangle:
hypotenuse² = base² + height²
base = √(hypotenuse² - height²)
base = √(65² - 52²)
base = 39 yards
Raymond will travel a horizontal distance of 39 yards.

3 0

2 years ago

Read 2 more answers

You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river

inn [45]

Answer:

The length and width of plot is $L=300\:ft$ , $W=150\:ft$

Largest area of the plot is $A=45000 ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 600 feet and fencing is enclosed on 3 sides. So perimeter is given as,

Perimeter = width + length + width

Substituting the value,

$600=x+y+x$

$600= 2x+y$ ….1

Now area of fence of rectangular box is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$600-2x= y$

Substituting the value in equation 2,

$A=x\left (600-2x \right )$

Simplifying

$A=600x-2x^{2}$

Rewriting,

$A=-2x^{2}+600x$

Above equation looks like quadratic equation $f\left ( x \right )=ax^{2}+bx+c$ whose graph looks like parabola.

Comparing equation f(x) and A values of a, b and c are, $a=-2,b=600$ and $c=0$ .

Now maximum of $f\left ( x \right )$ occurs at vertex.

The x coordinate of the vertex is given as $-\dfrac{b}{2a}$

Substituting the values,

$x=-\dfrac{600}{2\left (-2 \right )}$

Simplifying,

$x=\dfrac{600}{4}$

$x=150$

So width of plot is 150 feet.

Now to calculate value of length by using equation 1,

$600= 2x+y$

Substituting the values,

$600= 2\left (150 \right )+y$

$600= 300+y$

Subtracting 300 from both sides,

$300= y$

So length of plot is 300 ft.

The y coordinate of the vertex is given as $y=f\left ( -\dfrac{b}{2a} \right )$ which also means, $y=f\left ( 150 \right )$

$\therefore A=-2\left (150 \right )^{2}+600\left (150 \right )$

Simplifying,

$\therefore A=-2\left (22500 \right )^{2}+600\left (150 \right )$

$\therefore A=-45000+90000$

$\therefore A=45000$

So, area of the plot will be $A=45000 ft^{2}$

7 0

3 years ago

Billy's plant is at least 2 inches tall. Graph all the possible heights of the plant.

Tasya [4]

He means that 5.08 cm is a possible coordinate, and 50.8 mm is a possible coordinate
:)

5 0

3 years ago

(-2,9), (0,1) what is the y-intercept?

7nadin3 [17]

Answer:

(0,1) is the y-intercept

Step-by-step explanation:

EZZZZZZ

5 0

2 years ago

Read 2 more answers

Solve this equation 5x-7=-12

cupoosta [38]

Answer:

5x - 7= -12

5x - 7+7 = -12+ 7

5x= -5

x= -1

Step-by-step explanation:

hope this helped

7 0

3 years ago

Read 2 more answers