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Elan Coil [88]
2 years ago
5

✓ 1234Graph the set {xx2-1) on the number line.Then, write the set using interval notation.-7-6-5-4-3-2-11 2 3{x|x ≥-1}=045 6(0,

0)

Mathematics
1 answer:
dexar [7]2 years ago
3 0
\lbrace x\lvert x\ge-1\rbrace

Given set: x greater than or equal to -1

The interval includes -1 and all the values greater than -1, to graph it put a full point in the -1 and draw an arrow to the the right of -1:

<h2>Interval notation:</h2>\lbrack-1,\infty)

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Please answer soon! I will mark brainiest!
Andreas93 [3]

Answer:

13

Step-by-step explanation:

3x+4=2x+7

-2x =-2x

x+4 = 7

- 4 = -4

x = 3

AB=3x+4

AB=3(3)+4

AB=13

5 0
3 years ago
the diagram shows a scale drawing of a playground. The scale of the drawing is 1:500. Work out the perimeter. Give answer in met
IceJOKER [234]

Answer:

The perimeter of the playground is 65 metres

Step-by-step explanation:

Questions like this requires attachment; See attachment for diagram.

From the diagram, we have the following parameters

Length = 2cm

Width = 4.5cm

Required

Calculate the parameter of the actual diagram

First, the actual length and width has to be calculated;

Given that the scale drawing is 1:500

Actual\ Length = 500 * 2cm = 1000cm

Actual\ Width = 500 * 4.5cm = 2250cm

Now, the perimeter can be calculated;

Perimeter\ of\ a\ Rectangle = 2(Length + Width)

Perimeter = 2(1000cm + 2250cm)

Perimeter = 2(3250cm)

Perimeter = 6500cm

However, the question requires answer to be in meters

If 100 cm = 1 m, then

6500cm = \frac{6500m}{100}

6500cm = 65m

Hence, the perimeter of the playground is 65 metres

6 0
4 years ago
Which number belongs in the integers area on the Venn diagram?
Whitepunk [10]

Answer:

-19      - Integer

-5       - Integer

12       - Whole Number

14.25 - Rational Numbers

Step-by-step explanation:

Whole numbers = {0, 1 , 2, 3, . . . }

They are the the natural numbers and zero.

Integers: {. . . , -3, -2, -1, 0 , 1, 2, 3, . . . }

Rational Numbers: These are the numbers that can be written in the form of $ \frac{p}{q} $ where $ q \ne 0 $.

Note that All Whole numbers are integers.

All Integers are in turn Rational Numbers. (When q = 1, we get all the integers.).

In the given problem, we have: -19 Negative number. It should be an Integer.

Similarly -5 is also an integer.

12 is a whole number. Note that it is also an integer. Consequently, a rational number.

And 14.25 = $ \frac{1425}{100} $ is in the form of $ \frac{p}{q} $. So it is a rational number.

7 0
4 years ago
10. (07.07 LC)
Serhud [2]

Answer:

81

Step-by-step explanation:

(9x - 4)(9x + 4) = ax² - b

81x² - 36x + 36x - 16

= 81x² - 16

=> a = 81

6 0
3 years ago
1. A chord is 22 cm long. It is 60 cm from the center of the circle.
mezya [45]

Answer:

Radius, r = 61 cm

Step-by-step explanation:

According to the attached figure, we have,

Length of chord, AB = 22 cm

Such that, AP = PB = 11 cm

OP = 60 cm

It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,

r^2=60^2+11^2\\\\r=61\ cm

So, the radius of the circle is 61 cm.

3 0
3 years ago
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