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nasty-shy [4]
3 years ago
15

Tell me the answer please. Give me a short answer and a step-by-step explanation.

Mathematics
2 answers:
77julia77 [94]3 years ago
8 0
I cant give a short answer bc it has to be 20 letters
worty [1.4K]3 years ago
4 0

Answer:

(-4,16)

Step-by-step explanation:

1/2x+18=5/2+26

1/2x=5/2x+8

-2=8 divided by -2

Equals x=-4

Plug in -4 in one of the equations

1/2(-4)=18= 16

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Peter went to his local zoo where 50% of its exhibits featured lions. If the zoo features 24 exhibits in total, then how many of
Sauron [17]
12 exhibits featured lions since half of 24 is 12.
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3 years ago
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Question 4 (Essay Worth 10 points)
Over [174]

The 3-D shape would be created if the figure was rotated around the x-axis is a cone

<h3>What are 3-D shapes?</h3>

3-D shapes (short form of 3-Dimensional shapes) are shapes that have width, length and height

<h3>How to determine the 3-D shape?</h3>

The coordinates are given as:

(0, 0), (-3, -4) and (-3, 0)

When the above coordinates are plotted on a coordinate plane and the points are connected;

We can see that the points form a right-triangle

See attachment for the shape

As a general rule

Rotating a right-triangle across the x-axis would form a cone

Hence, the 3-D shape would be created if the figure was rotated around the x-axis is a cone

Read more about rotation at:

brainly.com/question/4289712

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8 0
1 year ago
Determine if there is a proportional relationship between the two quantities
Shalnov [3]

Answer:

The table a not represent a proportional relationship between the two quantities

The table b represent a proportional relationship between the two quantities

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

<u><em>Verify each table</em></u>

<em>Table a</em>

Let

A ----> the independent variable or input value

B ----> the dependent variable or output value

the value of k will be

k=\frac{B}{A}

For A=35, B=92 ---> k=\frac{92}{35}=2.63

For A=23, B=80 ---> k=\frac{80}{23}=3.48

the values of k are different

therefore

There is no proportional relationship between the two quantities

<em>Table b</em>

Let

C ----> the independent variable or input value

D ----> the dependent variable or output value

the value of k will be

k=\frac{D}{C}

For C=20, D=8 ---> k=\frac{8}{20}=0.40

For C=12.5, D=5 ---> k=\frac{5}{12.5}=0.40

the values of k are equal

therefore

There is a proportional relationship between the two quantities

The linear equation is equal to

D=0.40C

7 0
3 years ago
Create a matrix for this system of linear equations, The determinant of the coefficient matrix is
marin [14]

Answer:  The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation:  The given system of linear equations is :

2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.

Now, from equations (ii) and (iii), we have

x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.

From equations (iv) and (v), we get

y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0
3 years ago
Can someone explain #1 and #2 to me? (Picture above) I really need help
Charra [1.4K]
A number can replaced with a variable like x
(X+3)4=16
4x+12=16
4x=4
X=1
(X/4)+3=24
X/4=21
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3 years ago
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