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Grace [21]
3 years ago
9

What is the inequality pls help

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

Answer:

y

Step-by-step explanation:

Choosing two points on the dotted line to find equation of line.

The points are:

(0,6) and (4,3)

Slope of line can be calculated as:

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{3-6}{4-0}

m=\frac{-3}{4}

Using point slope equation to find equation of dotted line.

y=mx+b

where m represents slope of line and b represents y-intercept.

The y-intercept for the dotted line = 6 as it intersects the y-axis at (0,6)

So, the equation of line is:

y=-\frac{3}{4}x+6

The dotted line indicates that the line is not included in the solution.

The solution of the inequality is below the dotted line, so thus it would be less than the line.

So, the inequality would be:

y

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Mr. Johnson is working on constructing a square table for his classroom. He positioned his design on a coordinate grid, as shown
sasho [114]

Answer:

This is proved with the help of slope.

Step-by-step explanation:

Given Mr. Johnson is working on constructing a square table for his classroom. He positioned his design on a coordinate grid, as shown. Mr. Johnson will need to put a brace through each diagonal of the table in order to secure the table's stability.

Now, if Johnson use more than one brace then we have to prove that the braces will intersect at a right angle.

From the figure we have to prove the diagonals AC and BD are at right angle. To prove above we have to find the slopes of both diagonals.

\text{Slope of AC=}\frac{y_2-y_1}{x_2-x_1}=\frac{-5-2}{4-(-3)}=\frac{-7}{7}=-1

\text{Slope of BD=}\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-5)}{4-(-3)}=\frac{7}{7}=1

\text{Product of their slopes=}-1\times 1=-1

As we know, In a coordinate plane, the slopes of perpendicular lines are opposite reciprocals of each other i.e their product is equals to -1.

⇒ AC and BD are perpendicular

⇒ Braces which put through each diagonal intersect at right angle and the table will stable.

8 0
3 years ago
It takes 25 minutes to fry a burger at Jill street, how long will it take to fry 13 burgers​
Misha Larkins [42]

Answer:

325 minutes

Step-by-step explanation:

We can use a ratio to solve

25 minutes         x  minutes

------------------  = ---------------

1 burger                   13 burgers

Using cross products

25*13 = 1x

325 = x

325 minutes

7 0
3 years ago
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PLEASE HELP!!!! URGENT !!!!! (40 points!!!)
dybincka [34]

Answer:

2

Step-by-step explanation:

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3 years ago
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lisov135 [29]

Answer:

The answer for this question ( ur exit ticket ) is C .

6 0
2 years ago
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5x^2-23x+12<br>this is the question im stuck on
AURORKA [14]
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then (5x^2 -20x)(-3x+12)
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8 0
3 years ago
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