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Svetach [21]
2 years ago
14

4x+5y=-6 Find the slope

Mathematics
1 answer:
kipiarov [429]2 years ago
5 0

Answer:

-\frac{4}{5}

Step-by-step explanation:

4x+5y=-6

the goal is to get y on one side and everything else on the other side

step 1 subtract 4x from each side

4x-4x cancels out

now we have

5y=-4x-6

step 2 divide each side by 5

5/5 cancels out

now we have

y=\frac{-4}{5}x + \frac{6}{5}

we can conclude that the slope is

-\frac{4}{5}

hope this helps :)

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.933333333 repeative as a fraction
Tanya [424]
Well if it is a number like .933333333 you will have to round it, So now it is .93 and .93 in a fraction is 93/100
7 0
2 years ago
In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f
olasank [31]
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x =  number of bookshelves built.
Let y =  number of tables built.

The total number of bookshelves and tables =  18.
Therefore
x + y = 18.
 That is,
 y = 18 - x                    (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120            (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
  x = 8.4
From (1),obtain
 y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 =  $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.
5 0
3 years ago
The equation of the line whose slope is -2 and y-intercept is (0,-8)
Artemon [7]

Answer:

y=-2x-8

Step-by-step explanation:

3 0
3 years ago
Find the area of the figure?
Alex777 [14]

Answer:

14 m

Step-by-step explanation:

For the triangle, you use the formula A=1/2bh. So in this case it's 3×4×1/2. 3×4 is 12, times 1/2 is 6 m. Now for the rectangle it's just 2×4 which is 8. 8+6 is 14. Hope this helps! If you are still confused please comment!

6 0
3 years ago
Help me on question 24 please and explain it thanks
Papessa [141]
You know that the sum of the interior angles in a triangle is 180
we will add all the angles,
(x+8)+(2x-8)+(3x-12)=180
x+8+2x-8+3x-12=180    8 and -8 cancel out 
6x-12=180
6x=180+12
6x=192
x=192/6=32
x=32

8 0
3 years ago
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