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adell [148]
2 years ago
10

What are the coordinates of the roots of the equation x sqaured + 4x + 3= 0

Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0

Answer:

a

x

2

+

b

x

+

c

=

0

the formula for the roots is

x

=

−

b

±

√

b

2

−

4

a

c

2

a

(

1

)

Identify the values for

a

,

b

,

&

c

x

2

+

4

x

+

3

=

0

cmp

a

x

2

+

b

x

+

c

=

0

a

=

1

b

=

4

c

=

3

(

2

)

Substitute these numbers into eh formula

x

=

−

4

±

√

4

2

−

(

4

×

1

×

3

)

2

×

1

(

3

)

Carefully proceed and do the calculations

x

=

−

4

±

√

16

−

12

2

x

=

−

4

±

√

4

2

x

=

−

4

±

2

2

now calculate the two separate solutions

x

1

=

−

4

+

2

2

=

−

2

2

=

−

1

x

2

=

−

4

−

2

2

=

−

6

2

=

−

3

Answer link

Step-by-step explanation:

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  • Left to Right<u> </u>

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<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
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Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = <em>x</em>

Adjacent Leg = 5.8

Hypotenuse = 7.3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Cosine]:                                                                    \displaystyle cosx^\circ = \frac{5.8}{7.3}
  2. [Fraction] Divide:                                                                                             \displaystyle cosx^\circ = 0.794521
  3. [Equality Property] Trig inverse:                                                                    \displaystyle x^\circ = cos^{-1}(0.794521)
  4. Evaluate trig inverse:                                                                                      \displaystyle x = 37.39^\circ
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8 0
3 years ago
What is the x-intercept of the equation: 3x+6y=42
vlabodo [156]

Answer:

( 14 , 0 )

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra
aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.  

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

P(R/TH)=\frac{P(R y TH)}{P(TH)}

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

P(R/TH)=\frac{0.45}{0.6} =0.75

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

5 0
3 years ago
1 + 1 ? please help me
user100 [1]

Answer:

1+1=2 so the answer is 2

5 0
3 years ago
A pumpkin is thrown out of a window that is 4 feet high with an upward velocity of 14. When will the pumpkin hit
Gnom [1K]

Answer:

Step-by-step explanation:

Given

Height H = 4 feet

Velocity = 14ft/s

Required

Time the pumpkin will hit the ground

Using the equation of mottion

H = ut + 1/2gt²

4 = 14t + 1/2(9.8)t²

4 = 14t + 4.9t²

4.9t²+14t-4 = 0

t = -14±√196+16(4.9)/2(4.9)

t = -14±√196+78.4/2(4.9)

t = -14±16.57/9.8

t = -14+16.57/9.8

t = 2.57/9.8

t = 0.2seconds

7 0
3 years ago
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