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3 years ago

What are the coordinates of the root of the equation x^2+4x+3=0

Mathematics

1 answer:

Alla [95]3 years ago

3 0

Answer:

(- 3, 0) and (- 1, 0)

Step-by-step explanation:

Given

x² + 4x + 3 = 0 ← in standard form

(x + 1)x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 3 = 0 ⇒ x = - 3

coordinates of the roots are (- 3, 0) and (- 1, 0)

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2 years ago

Horizontal stadia sights. Determine the error in distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm

jek_recluse [69]

The error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

Tan(θ) = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Given the uppermost portion of a that is 3.0m long stadia rod is inclined 14 cm toward the observer, therefore, the angle of inclination, θ can be written as

tan(θ)=0.14/3

θ = 2.672°

Also, the rod intercept is 1.75m, therefore, t the error in distance in the distance is,

tanθ=x/1.75

x = 1.75 tan(θ)

x = 1.75 × tan(2.672°)

x = 0.08167 m = 8.167 cm

Hence, the error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

Learn more about Tangent (Tanθ):

brainly.com/question/10623976

#SPJ4

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1 year ago

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inessss [21]

Answer:

You did not include your graph, therefore I will explain in the step-by-step everything you should need to know.

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Using this knowledge, we know that this line has a slope of 5, or 5/1, which means that you will go up 5 and 1 to the right. Since there is no + b part, that means b = 0, so the line begins at 0,0. So, using this information, possible points include 0,0, 5,1, 10,2, 15,3, etc.

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