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alexandr1967 [171]
2 years ago
14

The ordered pairs in the table below represent a linear function.

Mathematics
2 answers:
Lilit [14]2 years ago
5 0

Answer:

The slope is 2

Step-by-step explanation:

Given

x   y

2    3

5    9

Required

Determine the slope

First, we have:

(x_1,y_1) = (2,3)

(x_2,y_2) = (5,9)

The slope is then calculated as:

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

This gives:

m = \frac{9-3}{5-2}

m = \frac{6}{3}

m =2

<em>Hence, the slope is 2.</em>

Trava [24]2 years ago
5 0

Answer:

C

Step-by-step explanation:

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Let f(x)= - 3x - 1 and g(x)=x2 + 2.<br> Find (fog)(-6).
Leona [35]

Answer:(Fog)(-6)=29

Step-by-step explanation:

(fog)=-3(2x+2)-1

=-6x-6-1

=-6x-7

(fog)(-6)= -6(-6)-7

=36-7

=29

6 0
3 years ago
3. Find the values of the variables and the lengths of the sides of this kite.
Kazeer [188]

Answer:

So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20

Step-by-step explanation:

P.S - the exact question is -

As given in the question ,

Side AB = Side AD

⇒y - 3 = x + 2

⇒y - x = 2 + 3 = 5

⇒y - x = 5                        .........(1)

Also, given

Side BC = Side CD

⇒2x + 2 = x + 11

⇒2x - x = 11 - 2

⇒x = 9

∴ equation (1) becomes

y - 9 = 5

⇒y = 5 + 9 = 14

⇒y = 14

∴ we get

x = 9, y = 14

Now,

as given ,

Side AB = y - 3

⇒ AB = 14 - 3 = 11

Side BC = 2x + 2

⇒ BC = 2(9) + 2 = 18 + 2 = 20

Side CD = x + 11

⇒ CD = 9 + 11 = 20

Side DA = x + 2

⇒DA = 9 + 2 = 11

∴ we get

The sides are 11 and 20

So,

The correct option is A. x = 9, y = 14 , Sides are 11 and 20

8 0
2 years ago
Someone help please
Mrac [35]
Use ax^2 + bx + c = 0

ac = -8
b = 2

The factors are 4 and -2.
Plug them into the equation:

x^2 + 4x - 2x - 8

Then factorise it:

x ( x + 4) - 2 (x + 4)

so m = 4

(x + 4)^2

4 0
3 years ago
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Ostrovityanka [42]

Answer:

6

Step-by-step explanation:

4 0
3 years ago
The polygons are regular polygons. Find the area of the shaded region to the nearest tenth.
Paha777 [63]

Answer:

128.8 cm²

Step-by-step explanation:

In the image attached below, the regular polygon is a square which is composed of a small square and a large square. In a square, all the sides are equal.

For the small square, half of the diagonal is 4 cm, therefore the length of the diagonal is 8 cm (2 × 4 cm). Let the length of the side be a cm, using Pythagoras theorem:

a² + a² = 8²

2a² = 64

a² = 32

a = √32 = 5.7 cm

The area of the small square = length × length = 5.7 × 5.7 = 32.5 cm²

For the large square, half of the diagonal is 9 cm, therefore the length of the diagonal is 18 cm (2 × 9 cm). Let the length of the side be b cm, using Pythagoras theorem:

b² + b² = 18²

2b² = 324

b² = 162

b = √162 = 12.7 cm

The area of the large square = length × length = 12.7 × 12.7 = 161.3 cm²

The area of the shaded region = Area of large square - Area of small square = 161.3 cm² - 32.5 cm² = 128.8 cm²

4 0
3 years ago
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