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4 years ago

5

Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the f

unction f (x) = StartFraction 10 Over x EndFraction.

1 answer:

bixtya [17]4 years ago

7 0

Answer:

When we have a rectangle of width W and length L, the area of this rectangle can be calculated as:

A = W*L

In this case we have:

W = x

L = 10/x.

Then the area of the rectangle will be:

A = W*L = x*(10/x) = 10

So the value of x cancels in the equation, which means that we can not find the value of x.

Now, as L = 10/x we can find some restrictions:

if x = 0, we would have L = 10/0

So we can not have x = 0.

And as W = x, this represents a positive measure, we also have that x can not be a negative number.

So the relation:

W = x

L = 10/x

Gives us all the possible combinations of width and length such that the area of the rectangle is exactly 10 square units.

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Solve using the quadratic formula for <br> -7d^2+2d+9=0

Fynjy0 [20]

20 that is the answer

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3 years ago

Harrizon [31]

The given triangle is a right triangle

<h3>The length and slope</h3>

The coordinates are given as:

D (0,n), E(m,n), F(m,0)

The length is calculated using:

$l=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2$

So, we have:

$DE=\sqrt{(0-m)^2 + (n-n)^2} = m$

$DF=\sqrt{(0-m)^2 + (n-0)^2} = \sqrt{m^2 + n^2$

$EF=\sqrt{(m-m)^2 + (n-0)^2} = n$

The slope is calculated using:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

So, we have:

$DE = \frac{n -n}{0- m} = 0$

$DF = \frac{n -0}{0- m} = -\frac nm$

$EF = \frac{n -0}{m- m} = \mathbf{unde fined}$

<h3>The coordinates of the midpoints</h3>

This is calculated using

$m = 0.5 * (x_1 + x_2, y_1 + y_2)$

So, we have:

$DE = 0.5 * (0 + m, n+ n)=(0.5m, n)$

$DF = 0.5 * (0 + m, n+ 0)=(0.5m, 0.5n)$

$EF = 0.5 * (m + m, n+ 0)=(m, 0.5n)$

<h3>The type of triangle</h3>

In (a), we have:

<u>Lengths</u>

$DE= m$

$DF = \sqrt{m^2 + n^2$

$EF= n$

<u>Slope</u>

$DE = 0$

$DF = -\frac nm$

$EF = \mathbf{unde fined}$

The sides are not equal.

However, the 0 and the undefined slope implies that the triangle is a right triangle because the sides are perpendicular

It should be noted that the triangle cannot be graphed because the coordinates are not numeric

Read more about triangles at:

brainly.com/question/26331644

#SPJ1

3 0

2 years ago

Find an equation of the tangent line to the curve at the given point. y = x3 âˆ’ 3x + 2, (3, 20)

lisov135 [29]

Answer:

$y - 20 = 24(x - 3)$

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, has the following format:

$y - y_0 = m(x - x_0)$

In which the point is $(x_0,y_0)$ and the slope is m.

(3, 20)

This means that $x_0 = 3, y_0 = 20$ . So

$y - y_0 = m(x - x_0)$

$y - 20 = m(x - 3)$

Slope:

The slope is the derivative of the function at the point:

The function is:

$y = x^3 - 3x + 2$

The derivative is:

$y^{\prime}(x) = 3x^2 - 3$

At the point, we have that $x = 3$ . So

$m = y^{\prime}(3) = 3*3^2 - 3 = 27 - 3 = 24$

So the equation to the tangent line to the curve a the point is:

$y - 20 = 24(x - 3)$

8 0

3 years ago

If the five digit number aa448 is divisible by 9, what digit does a represent?

kaheart [24]

Answer:

a represent 1

and number is 11448.

Step-by-step explanation:

We know that a number is divisible by 9 if the sum of its digit is divisible by 9.

Given number aa448

sum of 4+4+8 = 16

number divisible by 9, 18 , 27,36

as we see sum of 448 is 16 , hence sum of a+a+4+4+8 should be number divisible by 9 and greater than 16 which is 18, 27,36

Let see of if sum of digits of aa448 is divisible by 18

a+a+4+4+8 = 18

2a + 16 = 18

2a = 18-16 = 2

a =2/2 = 1

Thus, number will be 11448

________________________________________

Let see of if sum of digits of aa448 is divisible by 27

a+a+4+4+8 = 27

2a = 27 - 16

2a = 11 = 2

a =11/2 = 5.5

as digit cannot be fraction of decimal, it can take value from 1 to 9 hence

sum of digits of aa448 is not divisible by 27

______________________________________________

Let see of if sum of digits of aa448 is divisible by 36

a+a+4+4+8 = 36

2a + 16 = 36

2a = 36-16 = 20

a =20/2 = 10

as digit can take value from 1 to 9 hence sum of digits of aa448 cannot be divisible by 36 or any higher number than 36 which is divisible by 9.

Thus , a represent 1

and number is 11448.

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4 years ago

Choose the number from each drop-down menu that best completes the sentence,

siniylev [52]

Answer:

Maya mistake is in step 1

Step-by-step explanation:

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3 years ago

Read 2 more answers