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The graph of functions y=x+5, y=-(x+5), and y = |x+5| are shown in figure.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equations are,

y = x + 5

y = - (x + 5)

y = |x + 5|

Since, All equations shows equation of line.

Hence, We can draw all the equations as shown in figure.

y = x + 5

Slope = 1

y - intercept = 5

y = - x - 5

Slope = - 1

y - intercept = - 5

Thus, The graph of functions y=x+5, y=-(x+5), and y = |x+5| are shown in figure.

Learn more about the equation of line visit:

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Answer:

x = 16  y= 16√3

Step-by-step explanation:

we know that a angle is 60 degrees. Thanks to this information we can say that x is half the hypothenuse, so is value is 16.

y can be express as √3/2 x 32 = 16√3

Answer:

S = 2(lw + lh + wh)Step-by-step explanation:

Answer:

8×1/9

Step-by-step explanation:

It is same as 8/9 because 8×1=8

Answer:

The area of the dance floor will be 788.48ft²

Step-by-step explanation:

Since 5cm represents 8ft, it means

1cm represents 8/5ft.

The scale length is 22cm, therefore the actual length would be

22 x 8/5ft = 35.2ft

The scale breadth is 14cm, therefore the actual breadth would be

14 x 8/5ft = 22.4ft

The area of the dance floor will be

(35.2ft)(22.4ft) = 788.48ft²

Answer:

140°

Step-by-step explanation:

The sum of interior angles of a n-agon is (n - 2) * 180°

a hexagon should have the sum of angles equal to

4 * 180° = 720°

Now we know that the other five angles have total measure

80° + 90° + 130° + 130° + 150° = 580°

So the sixth one has to be:

720° - 580° = 140°

Answer:140°

Step-by-step explanation: required equation : 180*(n-2)

since it is a hexagon, the sum of all interior angles=180*(6-2)

                                                                                       =180*4 =720°

now the measure of 6th angle=720 -(80+90+130+130+150)

                                                    = 720 -580

                                                   = 140

Answer:

The answer is D) d=3!!!!!

Answer:

36 will be the measure.

Hope it helps!!!

Step-by-step explanation:

Answer: 5x - 1

Step-by-step explanation: 3x + 2x = 5x and -6 + 5 = -1, so 5x - 1.

Answer:

The sum of (3x – 6) + (2x + 5) is 5x - 1

Step-by-step explanation:

(3x - 6) + (2x + 5)

3x - 6 + 2x + 5

3x + 2x - 6 + 5

5x - 1

Thus, The sum of (3x – 6) + (2x + 5) is 5x - 1

-TheUnknownScientist

Answer:

Independent

Step-by-step explanation:

The reliance of an event on the outcine of another event gives rise to a dependent event. For any two or more event, whereby the outcome of event A has no effect on the possible outcome of event B, then such scenario is termed as being Independent. In the scenario described above, the outcome oof Sam's pick does not depend on the outcine of Steve's pick. This is because, once Steve makes his selection, the marble is returned into the box before Sam makes his own selection.Therefore, no matter the color of marble picked by Steven, it will have no bearing on the outcome of Sam's pick.

Answer:

20 sq units

Step-by-step explanation:

Answer:

20 sq units

Hope it helps :)

Answer:

All sides are equal better explenation bellow

Step-by-step explanation:

It's a mirror flip of a ABC triangle

Yet you can say AB Is = to DE

And since most likely it's a 60° triangle all the angles are 60°

All triangles have 180°

Which means AB =BC

BC= AC

BC =CD

DE= CD

CE=DE

Which means all the sides are equal

Answer:

Where is the question? You didn't post it.

Answer:

1) f - 2

2) 45 + b

3) s - 82

4) 52c

5) t/5

Answer:

1) f-2

2) 45+b

3) s-82

4)52c

5)t/5

Answer:

Hi! The answer to your question is 0.142857. (Convert the fraction to a decimal by dividing the numerator by the denominator)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer: 1/4

Step-by-step explanation:

A coin has two outcomes which are either the head or the tail. When a coin is tossed, the probability of getting a head is 1/2 and likewise for a tail.

Therefore, the probability for two coins being tossed at the same time to both land on heads will be:

= 1/2 × 1/2

= 1/4

Answer:

1/4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer is =8cm

Step-by-step explanation:

d=2r=2·4=8cm

Answer:

10, 5, 19

Step-by-step explanation:

Recall that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

So we can multiply the fraction by

[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]

And get

[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]

Answer:

17.5

Step-by-step explanation:

Step-by-step explanation:

12 000 × 15/100

= $1 800

value of the car = 12 000 - 1 800

= $ 10 200

Answer:

Step-by-step explanation:

Answer:

<FNM = 73

Step-by-step explanation:

we are given

GNF = 60

MNL = 47

60+47=107

107-180=73

Answer:

400 students voted in the election

Step-by-step explanation:

Given:

Total number of votes received by Priscilla = 240

This was 60% of the students who voted in the election.

To find: Total number of students who voted in the election

Solution:

Total number of votes received by Priscilla = 60% of Total number of students who voted in the election

240 = 60% of Total number of students who voted in the election

240 = [tex]\frac{60}{100}[/tex] × Total number of students who voted in the election

So,

Total number of students who voted in the election [tex]=\frac{240(100)}{60}=400[/tex]