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Blizzard [7]
1 year ago
5

Write the expression for the Area of the polygon BORT MO 6 A= O A = 6m + mp O A = mp + 1/2(6m) O A = mp + 6p

Mathematics
1 answer:
anyanavicka [17]1 year ago
7 0

We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:

A_{sq}=mp

The area of the triangle is given by the following formula:

A_t=\frac{bh}{2}

Where "b" is the base and "h" is its height. Replacing the values:

A_t=\frac{(6)(m)}{2}=\frac{1}{2}6m

The total area is the sum of both areas:

A=A_{sq}+A_t

replacing the areas:

A=mp+\frac{1}{2}6m

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Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the
Igoryamba
First let's try to find the equation in this form : <span>y = mx + c 

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span>y= 3x + c
<span>
Now a point that the line passes through is given, (1, 2) 

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span>x=1 and y=2

y = 3x + c

2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c

We found c = -1 

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

m=3 and c=-1

y= mx + c

y= 3x -1

We found the line's equation in this form, y= mx + c

Now let's turn it into this form, ax + by + c = 0

y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0

Final answers,

\boxed { y\quad =\quad 3x-1 }

and 

\boxed { -3x+y+1\quad =\quad 0 }

I hope this was clear enough :)




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</span>
5 0
3 years ago
Read 2 more answers
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pogonyaev

Answer:

I'm assuming we need to find the number of minute she as used. to do that we can right an inequality with m being the number of minutes

18+0.06m≥88.56

we then just solve this like we would with any other algebra equation, First we subtract 18 from both sides.

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Then we dives by 0.06

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3 years ago
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Step-by-step explanation: This can be represented by the equation

40 + 12T = 25 + 15T

We just solve for T.

Subtract 12T from both sides

40 = 25 + 3T Subtract 25

15 = 3T Divide by 3

5 = T

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3 years ago
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1. First you want to evaluate the parentheses. (4-1) = 3

2. Square:
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Yes, it is.
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