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elixir [45]
3 years ago
13

Homework: Wk 3 Homework - Updated

Mathematics
1 answer:
Amanda [17]3 years ago
5 0
A regular triangle has a side length
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11-(3x+1) = 7(x-6)+2
Galina-37 [17]

Hello!

\large\boxed{x = 5}

11 - (3x + 1) = 7(x - 6) + 2

Distribute the coefficients outside of the parenthesis:

11 - (3x) - (1) = 7(x) + 7(-6) + 2

Simplify:

11 - 3x - 1 = 7x - 42 + 2

Combine like terms:

10 - 3x = 7x - 40

Add 3x to both sides to isolate x:

10 = 10x - 40

Add 40 to both sides:

50 = 10x

Divide both sides by 10:

x = 5

4 0
3 years ago
Read 2 more answers
The sum of four consecutive integers is 134. Find the integers. (please show your work)
lidiya [134]

Answer:

Integers: 32,33,34,35

Step-by-step explanation:

Consecutive means back-to-back, with a difference of 1

Therefore this can be represented with the following equation (where x is the first number), and we can set this equal to the sum

x+(x+1)+(x+2)+(x+3)=134\\4x+6=134\\4x=128\\x=32

Therefore since x = 32, all four integers are:

32,33,34,35

If we check this, we can see that their sum equals to 134

32+33+34+35 = 134

Hope this helps!

8 0
3 years ago
Can you guys please help? The image is attached.
Solnce55 [7]

See below for the description of changes when the dependent and the independent variables are switched

<h3>How to determine the changes?</h3>

<u>The table of values</u>

When the dependent and the independent variables are switched, the values also become switched on the table.

This means that the table becomes an inverse table of the function

<u>The scatter plot</u>

Switching the variables implies that the original function is being reflected across the line y = x

<u>The description in words</u>

This description is an inverse relation of the original function

<u>The equation</u>

This description is an inverse equation of the original function.

If the initial equation is y = ax + c, the new equation becomes x = ay + c

Read more about functions and relations at:

brainly.com/question/2253924

#SPJ1

4 0
2 years ago
Evaluate the double integral ∬Ry2x2+y2dA, where R is the region that lies between the circles x2+y2=16 and x2+y2=121, by changin
Nadya [2.5K]

Answer:

See answer and graph below

Step-by-step explanation:

∬Ry2x2+y2dA

=∫Ry.2x.2+y.2dA

=A(2y+4Ryx)+c

=∫Ry.2x.2+y.2dA

Integral of a constant ∫pdx=px

=(2x+2.2Ryx)A

=A(2y+4Ryx)

=A(2y+4Ryx)+c

The graph of y=A(2y+4Ryx)+c assuming A=1 and c=2

3 0
4 years ago
Choose which group of sets the following number belongs to. Be sure to account for ALL sets. 6/7
diamong [38]

Answer:

natural number belongs to set N

integer belongs to set Z

rational number belongs to set Q

7 0
3 years ago
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