Find the domain of the function (13/x-11)

I really need help with this i beg you !!

sweet-ann [11.9K]

Answer:

The perimeter and area of the square are 56 units and 196 square units, respectively.

Step-by-step explanation:

The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is $\sqrt{2}$ time the length of any of its legs. If the hypotenuse has a measure of $7\sqrt{2}$ , then the legs of the triangle have a measure of $7$ .

Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.

Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:

Perimeter

$p = 4\cdot l$ (1)

Area

$A = l^{2}$ (2)

Where $l$ is the side length of the square.

If we know that $l = 14$ , then the perimeter and area of the square are, respectively:

$p = 4\cdot (14)$

$p = 56$

$A = 14^{2}$

$A = 196$

The perimeter and area of the square are 56 units and 196 square units, respectively.

7 0

3 years ago

How does the slope of g(x) compare to the slope of f(x)? f(x) g(x) O The slope of g(x) is the opposite of the slope of f(x). O T

Pavel [41]

Answer: Tell me if i am wrong

The answer is 'The slope of g(x) is less than the slope of f(x)'

Step-by-step explanation:

Given the graphs of f(x) and g(x). we have to compare the slops of these two.

The graph of f(x) passes through the points (1,0) and (2,2)

∴ The slope of $f(x) = \frac{y2-y1}{x2-x1}=\frac{2-0}{2-1} = 2$

The graph of g(x) passes through the points (0,2) and (2,3)

∴ The slope of $g(x)=\frac{y2-y1}{x2-x1} =\frac{3-0}{2-0} =\frac{1}{2}$

As $\frac{1}{2}$

This shows that the

The slope of g(x) is less than the slope of f(x).

7 0

3 years ago

A piece of wire is 76cm long. It is cut into two unequal parts and each part is bent into a square. The sum of the areas of the

NemiM [27]

Answer:

The length of the shorter part of the wire is 24 centimeters.

Step-by-step explanation:

Let $L$ the total length of the piece of wire, where $L-x$ and $x$ are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are $\frac{L-x}{4}$ and $\frac{x}{4}$ . From statement we find that the sum of the areas of the two squares ( $A$ ), measured in square centimeters, is represented by the following expression:

$A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}$ (1)

And we expand this polynomial below:

$A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}$

$A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}$

$2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0$ (2)

If we know that $L = 76\,cm$ and $A = 205\,cm^{2 }$ , then the length of the shorter part of the wire is:

$2\cdot x^{2}-152\cdot x +2496 = 0$

By the Quadratic Formula, we determine the roots associated with the polynomial:

$x_{1} = 52\,cm$ , $x_{2} = 24\,cm$

The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.

3 0

3 years ago

What type of graph is this? complete graph cycle graph

anastassius [24]

Answer:

complete graph

Step-by-step explanation:

In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges

hope it helps :)

please mark it the brainliest!

6 0

4 years ago

Read 2 more answers

7. 21 and 22 are vertical angles. If mZ1 = (17x + 1)' and m22

olga nikolaevna [1]

Answer:

Step-by-step explanation:

Vertically opposite angles are equal.

m∠2 = m∠1

20x - 14 = 17x + 1

Add 14 to both sides

20x = 17x + 1 + 14

20x = 17x + 15

Subtract 17x from both side

20x - 17x = 15

3x = 15

Divide both sides by 3

x = 15/3

x = 5

∠1 = 17x + 1 = 17*5 + 1 = 85 + 1 = 86

∠2 = 20x - 14 = 20*5 - 14 = 100 - 14 =86

7 0

3 years ago