Suppose the length of a side of a square is s. Write a formula to find the area of a square.

Describe the graph of the functions y=|x+2|

inn [45]

To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.

In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.

x = -3

y = |-3 + 2| = |-1| = 1

x = -2

y = |-2 + 2| = |0| = 0

x = -1

y = |-1 + 2| = |1| = 1

x = 0

y = |0 + 2| = |2| = 2

x = 1

y = |1 + 2| = |3| = 3

x = 2

y = |2 + 2| = |4| = 4

x = 3

y = |3 + 2| = |5| = 5

 x ║ y

-3 1

-2 0

-1 1

0 2

1 3

2 4

3 5

Obtaining the graph shown in the image attached.

.

7 0

3 years ago

Sue is upholstering a rectangular ottoman that measures 21 centimeters by 18 centimeters by 15 centimeters. What will be the tot

Anika [276]

Answer:

1926cm²

Step-by-step explanation:

Given

Dimension = 21cm by 18cn by 15cm

The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:

$Surface\ Area =2(LB + LH + BH)$

Where L, B and H are the dimensions.

So,

$Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)$

$Surface\ Area = 2(378 + 315 + 270)$

$Surface\ Area = 2(963)$

$Surface\ Area = 2 * 963$

$Surface\ Area = 1926cm\²$

Hence, 1926 cm² of fabrics are needed to cover all surfaces.

6 0

2 years ago

Answer my question about this one please

Leokris [45]

The answer is 11 I hope this helped you

6 0

3 years ago

Total donations at the firemans ball failed to reach $940

kumpel [21]

That sucks they should've worked harder

8 0

2 years ago

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Allushta [10]

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours

we know that

--------> inequality

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

--------> inequality

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N

--------> inequality

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

--------> inequality

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N

Let

------> see the attached figure N

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

Prove algebraically

substitute the value of x and y in the inequalities

inequality

------> is ok

inequality

-------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

5 0

3 years ago

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