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Helga [31]
3 years ago
7

Of the following options, what could be a possible first step in solving the equation 3x − 1 = 2x + 4?

Mathematics
2 answers:
madreJ [45]3 years ago
5 0
Move the "x" terms to the same side
Advocard [28]3 years ago
3 0
The first steps would be something along the lines of...

Combine like terms
2x and 3x 
-1 and 4 
Here is how to work the problem, 

3x -1 = 2x +4 
The goal is to get X alone, 
So Combine like terms by subtracting 2x from 3x 
and Adding 1 to 4 
Now you have 
x = 5 
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In circle O, chord AOB is drawn. Point C is located on the exterior of the circle with tangent CB and secant CDA drawn.Itisknown
ser-zykov [4K]

Answer:

  (a) 4

  (b) 2√3

  (c) 60°

  (d) 120°

Step-by-step explanation:

(a) The relationship between tangents and secants is ...

  CB^2 = CD·CA

Filling in the given values, we find ...

  CB^2 = 2·(2+6) = 16

  CB = √16 = 4

The length of BC is 4 units.

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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.

  CA^2 = CB^2 +AB^2

  8^2 = 16 +AB^2

  AB = √48 = 4√3

The radius is half the length of AB, so the radius is 2√3.

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(c) The measure of angle C can be determined from the cosine relation:

  cos(C) = CB/CA = 4/8 = 1/2

  C = arccos(1/2) = 60°

The measure of angle C is 60°.

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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.

The measure of arc AD is 120°.

3 0
3 years ago
Find the missing side lengths leave your answer as a racials simplest form
Nikolay [14]

Answer:

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Step-by-step explanation:

sin(30)=y/6

1/2=y/6, y=3. As it's a right angled triangle, 6^2-3^2=x^2, x=3*sqrt(3)

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Step-by-step explanation:

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The answer is 1/3

A(2;0)

B(0;-6)

M= y2-y1/x2-x1

M= 0-2/-6-0

M= -2/-6

M= 1/3

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2 years ago
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Mamont248 [21]
The range would (-infinity,9]
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