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4 years ago

12

What is the value of c? _____ units

2 answers:

Mashutka [201]4 years ago

8 0

4^2+3^2=25
sqrt 25= 5
Answer is 5

slava [35]4 years ago

5 0

its 5 on edge for the answer

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The function f is f of x= √4-x

marshall27 [118]

Answer:

0.5

Step-by-step explanation:

We assume your function is

$f(x)=\sqrt{4-x}$

The distance formula can be used to find the distance from the point on the curve (x, f(x)) to the origin:

d^2 = (x)^2 + (f(x))^2 = x^2 + (4 -x)

Written in vertex form, this is ...

d^2 = (x -1/2) + 3.75

This has a minimum at x=1/2, so that is the x-coordinate of the point closest to the origin.

7 0

3 years ago

the slope of the line below is -3. use the coordinates of the labeled point to find a slope-point equation of the line. (5,-7)

HACTEHA [7]

$\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-7})~\hspace{10em} slope = m\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-7)=-3(x-5) \\\\\\ y+7=-3x+15\implies y=-3x+8$

5 0

3 years ago

A rectangular garden is enclosed with eighty-six meters of fencing. The garden is thirteen meters longer than it is wide. Find t

Sergio039 [100]

Answer: length = 28 meters

Width = 15 meters

Step-by-step explanation:

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The rectangular garden is enclosed with eighty-six meters of fencing. This means that

2(L + W) = 86

Dividing through by 2, it becomes

L + W = 43- - - - - - - - - - - -1

The garden is thirteen meters longer than it is wide.. This means that

L = W + 13

Substituting L = W + 13 into equation 1, it becomes

W + 13 + W = 43

2W + 13 = 44

2W = 43 - 13

2W = 30

W = 30/2

W = 15

L = W + 13 = 15 + 13

L = 28

6 0

3 years ago

Sophia's credit has an APR of 20.87 % and it just changed its compounding. From monthly to daily what will happen to the effecti

Rashid [163]

Answer:

It will increase by 0.2%.

Step-by-step explanation:

In this problem we need to solve for the monthly interest first.

We use the formula:

$r = (1+\dfrac{i}{n})^{n}-1$

Now that we have the formula we now define our variables.

i = 20.87% or 0.2087

n = 12

$r=(1+\dfrac{0.2087}{12})^{12} - 1$

$r=(1+\dfrac{0.2087}{12})^{12}-1$

$r=(1+\dfrac{0.0174})^{12}-1$

$r=(1.0174})^{12}-1$

$r= 1.2299-1$

$r= 0.2299$ or 23%

Now we have to find the daily interest rate.

$r=(1+\dfrac{0.2087}{365})^{365}-1$

$r=(1+\dfrac{0.2087}{365})^{365}-1$

$r=(1+0.00057178082)^{365}-1$

$r=(1.00057178082)^{365}-1$

$r= 1.2320-1$

$r= 0.2320$ or 23.20%

23.20% - 23% = 0.20% increase.

3 0

3 years ago

t takes a total of 6 hours to fill up an inground backyard pool using a standard hose. A function can represent this situation t

Alina [70]

The domain is the set of inputs over which our function W(T) gives a valid result.

$0 \le T \le 6 \textrm{ hours}$

3 0

3 years ago