What natural numbers is the solution to these 3 problems​

Any equation of the form,

⇒ y = 3x + b,

where b is a constant, represents a line parallel to the line 3x - y = 6.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Now, To find the equation of a line that is parallel to 3x - y = 6, we need to find the slope of the line 3x - y = 6.

Hence, we can rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

3x - y = 6

-y = -3x + 6

y = 3x - 6

Therefore, the slope of the line 3x - y = 6 is,

m = 3.

Since we want a line that is parallel to this line, the slope of the new line must also be 3.

Thus, Any equation of the form,

⇒ y = 3x + b,

where b is a constant, represents a line parallel to the line 3x - y = 6.

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Answer:

[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]

Step-by-step explanation:

Given

[tex]z1 = 12(cos(320^o) + isin(320^o))[/tex]

[tex]z2 = 4(cos(80^o) + isin(80^o))[/tex]

Required

[tex]Quotient = \frac{z_1}{z_2}[/tex]

We have:

[tex]Quotient = \frac{12(cos(320^o) + isin(320^o))}{4(cos(80^o) + isin(80^o))}[/tex]

Divide 12 by 4

[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]

Solve using the following rule:

[tex]\frac{(cos(a) + isin(a))}{(cos(b) + isin(b))} = \cos(a - b) + isin(a - b)[/tex]

So, we have:

[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]

[tex]Quotient = 3(cos(320^o-80^o) + isin(320^o-80^o))[/tex]

[tex]Quotient = 3(cos(240^o) + isin(240^o))[/tex]

Hence:

[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]

Answer:

75%

Step-by-step explanation:

Answer:

------------------

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hope it helps...

have a great day!!

Answer:

the answer would be 9 + i

Step-by-step explanation:

Answer:

2nd term is 8.

nth term is 3n + 2.

Step-by-step explanation:

nth term = 5 + 3(n - 1)

= 3n + 2

Answer:

b(a+c) this is answer okay

Answer:

Step-by-step explanation:

ab+bc

b(a+b)

u can add two term only if they have same base.

Step-by-step explanation:

Answer:

g = 25

Step-by-step explanation:

Move all terms that do not contain g to the right side of the equation. Do the opposite operation of -8 which would be +8. Add 8 to 17. Check by subtracting 8 from the total.

4 × ( x + 4 ) = 3 × ( 3 + 5 )

4 × ( x + 4 ) = 3 × 8

Divide both sides by 4

x + 4 = 3 × 2

x + 4 = 6

Subtract both sides 4

x = 2

Answer:

10 2/7

Step-by-step explanation:

Of means multiply

2/7 *36

72/7

Changing from an improper fraction

70/7 +2/7

10 2/7

Answer:

[tex] \frac{2}{7 } \: of \: \: 36 \\ = \frac{2}{7} \times 36 \\ = \frac{2 \times 36}{7} \\ = \frac{72}{7} \\ = 10 \frac{2}{7} \\ = 10.28[/tex]

✐ The answer in fraction form is 72/7, & in decimal form is 10.28.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

x = 14+

Step-by-step explanation:

If 14 + 14 = 28

Then

28 > 27 is true.

Answer:

the first two are true and the last two are false

Answer:

u>-4

Step-by-step explanation:

muliply both sides by 2

-12< 3u

divide both sides by 3

-4<u

u>-4

Answer:

A)

Step-by-step explanation:

Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make a 100% and have a nice day! -Amelia♥

The value of tan(11pi/6) is -√3/(3), the correct option is B.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We are given that;

The trigonometric function= tan(11pi/6)

The value of tan(11pi/6) can be found by using the unit circle or by using trigonometric identities. One way to find it is by using the identity tan(x) = sin(x)/cos(x) and plugging in 11pi/6 for x.

tan(11pi/6) = sin(11pi/6)/cos(11pi/6)

To find sin(11pi/6) and cos(11pi/6), we can use the reference angle pi/6 and recall that sin(pi/6) = 1/2 and cos(pi/6) = √3/2. Since 11pi/6 is in the fourth quadrant, where sine is negative and cosine is positive, we have:

sin(11pi/6) = -1/2

cos(11pi/6) = √3/2

Plugging these values into the expression for tan(11pi/6), we get:

tan(11pi/6) = (-1/2)/(√3/2)

tan(11pi/6) = -1/(√3)

We can rationalize the denominator by multiplying both numerator and denominator by √3:

tan(11pi/6) = (-1/(√3))(√3)/(√3)

tan(11pi/6) = -√3/(√3)(√3)

tan(11pi/6) = -√3/(√9)

tan(11pi/6) = -√3/(3)

Therefore, by the trigonometry the answer will be -√3/(3).

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Answer:

Step-by-step explanation:

Look at the graph at the time given and determine how the line will continue based on its current trajectory;

A. T

B. S

C. 20 minutes

Answer:

equilateral triangle

Step-by-step explanation:

equilateral triangle

A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.

Answer:

A. Perimeter

Step-by-step explanation:

I calculated it logically

Answer:

Uneducated people.

Step-by-step explanation:

Stay

In

School

Kids

Answer:

Well, 5 I think and also what adrian are u talking about?

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

..............................

180-65

Answer:

x = 11

Step-by-step explanation:

Given the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{3x+3}{x+7}[/tex] = [tex]\frac{38}{19}[/tex] = 2 ( multiply both sides by x + 7 )

3x + 3 = 2(x + 7)

3x + 3 = 2x + 14 ( subtract 2x from both sides )

x + 3 = 14 ( subtract 3 from both sides )

x = 11

9514 1404 393

Answer:

  C. triangle MPO is congruent to triangle MNO by SAS

Step-by-step explanation:

Enough information is given in the diagram so that we know ...

  ΔMNO ≅ ΔOPM

by either the SSS or SAS congruence postulates.

What makes statement C false is the fact that the vertices listed are not corresponding vertices.

_____

Additional comment

The wording here is of the form <angle 1> is congruent to <angle 2> by <some triangle congruence postulate>. A triangle congruence postulate can be used to show triangle congruence. Angle congruence must be based on a different claim.

Answer:

2 · 10¹⁵ seconds

Step-by-step explanation:

1.2 · 10⁵

2.4 · 10²⁰

2.4 · 10²⁰ ÷ 1.2 · 10⁵

2 · 10²⁰ ⁻ ⁵

2 · 10¹⁵

It took the message 2 × 10¹⁵ seconds to travel from one object to the other.

To be able to solve this problem, we need to understand the relation between speed and distance.

Speed is the change of an object's position with time, the distance is the space covered with a specified range of time.

The relation between Speed and distance can be expressed by using the relation:

[tex]\mathbf{speed = \dfrac {distance}{time}}[/tex]

From the parameters given:

The time it took the message to travel from one object to the other can be determined by making time(t) the subject of the formula from the above equation:

i.e.

[tex]\mathbf {time = \dfrac{distance} {speed}}[/tex]

[tex]\mathbf {time = \dfrac{2.4 \times 10^{20}\ cm} {1.2 \times 10^5 \ cm/s}}[/tex]

time = 2 × 10¹⁵ seconds

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Answer:

The answer is 18

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The perimeter of the rectangle =18 in

Step-by-step explanation:

Given, Area of rectangle= 14 in

Length(l) of one side = 7 in

We know,

Area = lxb

or, 14 = 7xb

or, b = 2 in

then the perimeter of the rectangle = 2x(l+b)

= 2x(7+2)

= 2x9

=18in