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2 years ago

Which is correct equation , in slope intercept form , for the line described below?

Mathematics

1 answer:

Feliz [49]2 years ago

6 0

Answer:

$y=3x+6$

Step-by-step explanation:

<u>Equation of the line</u>

The equation of the line in slope-intercept form is:

$y=mx+b$

Being m the slope and b the y-intercept.

We are given two points for the required line: The x-intercept is -2, thus the point is (-2,0), and the y-intercept b=6 represents the point (0,6).

Since the value of b is 6, we use the first point to find the slope:

$0=m(-2)+6$

Solving:

m=3

The correct equation of the line is:

$\boxed{y=3x+6}$

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2 years ago

The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6. A

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3 years ago

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Step-by-step explanation:

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Greatest common factor : brainly.com/question/13133626

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2 years ago

What is mean of 8,3,3,7 and 4

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2 years ago

Given: TSR and QRS are right angles; T ≅ Q

allsm [11]

Answer:

The answer is number (2) ⇒ because of the AAS congruence theorem

Step-by-step explanation:

* Lets use the information to solve the problem

- In the given triangles TSR and QRS

# We have a common side RS or SR

# Two right angles TSR and QRS

# m∠T = m∠Q ⇒ given

* So we have two pairs of angles and one common side, lets

revise the cases of congruence

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

and one side in the 2ndΔ

* Now lets read the statements and write the missing

Step 1: m∠TSR = m∠QRS = 90° ⇒ because all right angles are congruent

Step 2: m∠T = m∠Q ⇒ because it is given

Step 3: SR ≅ RS ⇒ because of reflexive property (common side)

Step 4: Δ TSR ≅ ΔQRS ⇒ because of the AAS congruence theorem

* The answer is number (2)

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2 years ago

Read 2 more answers