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The equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2

The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers.

Given is a line passing through two points (0, 0) and (4, -2), we need to find the equation of the line,

We know that the equation of the line, passing through two points (x₁, y₁) and (x₂, y₂), is given by:

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (4, -2), putting the values to finding the equation,

y-0 = -2-0 / 4-0 (x-0)

y = -1/2(x)

y = -x/2

Hence, the equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2

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Answer:

1.3 percent

Step-by-step explanation:

Answer:

The figure is attached and the total distance is 1031 feet.

Step-by-step explanation:

The graph is indicated in the attached figure.

For calculation of distance consider following

Point Flagpole is (0,0)

Point Clue1 is (0,5)

Point Clue2 is (6,0)

Point Clue3 is (0,-5)

So the distance is calculated as follows

[tex]d_{T}=[d_{FP\ to\ Clue1}+d_{Clue1\ to\ Clue2}+d_{Clue2\ to\ Clue3}]*distance\ per\ unit\\d_{T}=[\sqrt{(Clue1_x-FP_x)^2+(Clue1_y-FP_y)^2}+\sqrt{(Clue2_x-Clue1_x)^2+(Clue2_y-Clue1_y)^2}+\sqrt{(Clue3_x-Clue2_x)^2+(Clue3_y-Clue2_y)^2}]**distance\ per\ unit\\[/tex]Substituting the values

[tex]d_{T}=[\sqrt{(0-0)^2+(5-0)^2}+\sqrt{(6-0)^2+(0-5)^2}+\sqrt{(0-6)^2+(-5-0)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{(0)^2+(5)^2}+\sqrt{(6)^2+(-5)^2}+\sqrt{(-6)^2+(-5)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{0+25}+\sqrt{36+25}+\sqrt{36+25}]*50 \text{ feet}\\d_{T}=[\sqrt{25}+\sqrt{61}+\sqrt{61}]*50 \text{ feet}\\d_{T}=[5+7.81+7.81]*50 \text{ feet}\\d_{T}=[20.62]*50 \text{ feet}\\d_{T}=1031 \text{ feet}\\[/tex]

So the total distance travelled is 1031 feet.

Answer:

Step-by-step explanation:

I can't see the factorisation that the students did. That is, Danny, Carlos and Irene. You either forgot to upload, or you couldn't.

However, I will factorise the expression for you, while you check you book to know who did the exact same factorisation.

28x - 8

This equation can be factorised when divided by 2, into

2(14x - 4)

At the same time, it can be factorised when divided by 4, into

4(7x - 2)

Basically, either of the students who choose between 2(14x - 4) and 4(7x - 2) is/are whom you'd pick for your answer.

Answer: the length is 8

Step-by-step explanation: Because 11 minus 8 is 3

Answer:

y-intercept (0,-5) and AOS x = -4

Step-by-step explanation:

To find the y-int make x = 0 so f(0) = -5

The axis of symmetry (AOS) can be found by the equation x = -b/2a

So AOS = -8a / 2a, so AOS = -4 since b=8a and a = a

Answer:

[tex]60x + 86[/tex]

Step-by-step explanation:

Answer:

1. b = 8

2. First term (T₁) = 18

Common ratio (r) = 2/3

Step-by-step explanation:

1. Determination of the value of b.

2b+2, b+4, b

First term (T₁) = 2b + 2

2nd term (T₂) = b + 4

3rd term (T₃) = b

The value of b can be obtained as follow:

Common ratio = T₂/T₁ = T₃/T₂

T₂/T₁ = T₃/T₂

(b + 4)/(2b + 2) = b/(b + 4)

Cross multiply

(b + 4)(b + 4) = b(2b + 2)

Expand

b(b + 4) + 4(b + 4) = b(2b + 2)

b² + 4b + 4b + 16 = 2b² + 2b

b² + 8b + 16 = 2b² + 2b

Rearrange

2b² – b² + 2b – 8b – 16 = 0

b² – 6b – 16 = 0

Solving by factorisation

b² – 8b + 2b – 16 = 0

b(b – 8) + 2(b – 8) = 0

(b – 8)(b + 2) = 0

b – 8 = 0 or b + 2 = 0

b = 8 or b = –2

Since each of the terms are positive, therefore, b is 8.

2. Determination of the first term and common ratio.

2b+2, b+4, b

First term (T₁) = 2b + 2

b = 8

First term (T₁) = 2(8) + 2

First term (T₁) = 16 + 2

First term (T₁) = 18

2nd term (T₂) = b + 4

b = 8

2nd term (T₂) = 8 + 4

2nd term (T₂) = 12

Common ratio (r) = T₂/T₁

First term (T₁) = 18

2nd term (T₂) = 12

Common ratio (r) = 12/18

Common ratio (r) = 2/3

Answer:

d. x2 – 2x – 4 = 0

Step-by-step explanation:

n can be all the way upto 7 as 8 x4 = 32 which is higher than 30. The lowest possible diggit is 1.

n = 1, 2, 3, 4, 5, 6, 7

1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

Step-by-step explanation:

I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.

Answer:

acute, equilateral

Step-by-step explanation:

Answer:

Acute, equilateral

Step-by-step explanation:

Angle of 60 is acute and it is an equilateral triangle.

Answer:

3 times larger

Step-by-step explanation:

I'm not a hundred percent sure but I'm pretty sure it is.

hope this helped ;)

Answer:

9

Step-by-step explanation:

6+3 is 9

Answer:

what do you mean by thrice of n?

Step-by-step explanation:

Wouldn't we need to know what n equals?

Answer:

= 2

Step-by-step explanation:

Answer:27

Step-by-step explanation:

Answer:

114 it think but maybe not

Step-by-step explanation:

a

Answer:

700

Step-by-step explanation:

539 rounded to 500

221 rounded to 200

500 plus 200 is 700

Answer:

I think its B

Hope this helps

Answer:

15:35??

Step-by-step explanation:

1. 20 + 15 = 35

2. 35 + 10= 45

3. 45 + 25 = 70 =  1 hour and 10 minutes

4. 95 mins = 1 hour and 45 minutes

5. 1 hour and 10 mins + 1 hour and 45 minutes = 2 hours and 55 minutes

6. 17:20

- 02:55

   15:35

15:35

i don't  know if this is right but it it does, your welcome.

Answer:

$105.13

Step-by-step explanation:

[540.50 - (4 x 30)]/4 = $105.125

Answer:

a. Peaches cost more by pound because the line it forms is steeper

b. draw a line that is less steep than the plums and under the plums line

Answer:

hello

Step-by-step explanation:

4x+3x+2x=180⁰

9x=180⁰

x=20

hope it helps

have a nice day

Answer:

x= 20

Step-by-step explanation:

4x+3x+2x=180

9x=180

x=180/9

so

answer:

i believe 28

Step-by-step explanation:

1) 16

2) -6 -(-17) = -6 +17= 11

3) 19 -(-2) = 19 + 2 = 21

4) -13 + 20 = 7

5) -22

6) -9

7) -19

8) -6

9) -17

10) -20

11) -15 -(-10) = -15 + 10 = -5

12) -1

13) 30

14) 11 -(-9) = 11 + 9 = 20

15) 16

16) -21

Answer:

726

Step-by-step explanation:

(22*25)+(16*11)=

550+176=

726