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ycow [4]
3 years ago
13

1. Graph the system of linear inequalities on the coordinate plane.

Mathematics
1 answer:
densk [106]3 years ago
8 0

Graph the system of linear inequalities on the coordinate plane. Shade the solution to the system of inequalities. Pick a point and show your solution is correct is given below

Step-by-step explanation:

1.When you are graphing inequalities, you will graph the ordinary linear functions just like we done before. The difference is that the solution to the inequality is not the drawn line but the area of the coordinate plane that satisfies the inequality.

2.The linear inequality divides the coordinate plane into two halves by a boundary line (the line that corresponds to the function). One side of the boundary line contains all solutions to the inequality

3.The boundary line is dashed for > and < and solid for ≥ and ≤.

4.Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

5The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

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Find the area of the polygon. Show your work.
Maru [420]

We can split this polygon into a square and rectangle.

Notice how two sides have a line going through it. That means that they have the same length. To solve for the square we can multiply:

5 * 5 = 25ft²

To solve for the rectangle we can subtract:

12 - 5 = 7ft²

Then multiply,

20 * 7 = 140ft²

To solve for the total area of the polygon we can add:

140 + 25 = 165ft²

Thus, the correct answer is 165ft.²

Best of Luck!

7 0
3 years ago
Read 2 more answers
ANSWER ALL THE QUESTIONS IN THIS WORKBOOK.
777dan777 [17]

Answer:

i. 15, 18, 20, 20, 25

ii.

a) 19.6

b) 20

c) 20

d) 10

Step-by-step explanation:

8 0
3 years ago
Pls help asap due tomorrow
Svet_ta [14]

Based on the information given, it should be noted that the least number of marbles that can be in the bag will be 10 marbles.

<h2>Solution to the probability.</h2>

If the bag contains 60 marbles, the number of red marbles will be:

= 1/5 × 60

= 12 marbles.

The number of white marbles will be:

= 3/10 × 60

= 18 marbles.

The number of blue marbles will be:

= 60 - (12 + 18)

= 60 - 30

= 30 marbles.

Furthermore, when the bag has 4 red marbles and 6 white marbles, there'll be 10 blue marbles.

Lastly, to find the probability of choosing a blue marble, we've to multiply 1/2 by the number given.

Learn more about probability on:

brainly.com/question/25870256

4 0
3 years ago
Explain step by step how you find the product of 6x^2y^5 and 3x^2 - 8x + 2xy^2 + 4y^3
lora16 [44]

The final product is 18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸

<h3>What is a product ?</h3>

The product is result obtained when a number or an expression is multiplied by the other number.

The product of the given expression

6x²y⁵ and 3x²-8x+2xy²+4y³

6x²y⁵ (3x²-8x+2xy²+4y³)

Step 1 : To multiply each term in the bracket with the other expression

out of the bracket

6*3*x²*y⁵*x² - 6*8*x²*y⁵ +6x²y⁵ *2*x*y² + 6*4*x²y⁵ *y³

Step 2 : The like variables will be solved

18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸

This is the final product

To know more about the product

brainly.com/question/17765678

#SPJ1

6 0
2 years ago
lauren is designing a metal sculpture that contains a triangle with sides of 4 inches and 11 inches. She is trying to determine
lesya692 [45]

Answer:

7 < x

Step-by-step explanation:

Let

x ----> the length of the third side of triangle in Lauren's sculpture

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the Triangle inequality Theorem

1) 4+11 > x

15 > x

Rewrite

x< 15\ in

2) 4+x > 11

x> 11-4\\x> 7\ in

therefore

The possible values of x are

7\ in < x

4 0
3 years ago
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