Find an equation equivalent to 2x 3y = 6 in polar coordinates.

Answer:

Add the fractions together on the right side of the equation.

Step-by-step explanation:

Notice that two fractions on the right side of the equation in the previous step have the same denominator.  If two fractions have the same denominator, we can simply add the numerators together and place that over the common denominator.

[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}[/tex]

Finally, change the order of the terms in the numerator so that [tex]\sf b^2[/tex] is first:

[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}=\dfrac{b^2-4ac}{4a^2}[/tex]

Therefore, the solution is:

Add the fractions together on the right side of the equation

Answer:

The set of points equidistant from a given point (the center). Radius : A segment with endpoints at the center and on the circle.

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Mode is the value that appears most often in a set of data values.

        21, 21, 21, 24, 24, 25, 26, 27, 27, 28, 29

Answer:

The mode for the data set is 21

Step-by-step explanation:

The more type of numbers that you see in a data set is the mode... like for example- the data set 1, 1, 1, 5, 6, 7, 5

1 is the mode because there are more 1's than any number in the data set.

Your welcome! ;D

Answer: Max. Max has a 49% chance of getting a 1 or 2 when Josie only has a 33% chance of getting a green block

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Answer:

6 and 11

Step-by-step explanation:

n1 = n + 5

ns^2 = 3 + 3nb

6^2 = 3 + 3(11)

36 = 3 + 33

11 = 6 + 5

Answer:

7

Step-by-step explanation:

the range is the difference between the highest and lowest value in a data set.

13 is the highest in the distribution

6 is the lowest in the distribution

13-6=7

Give brainliest, please!

Hope this helps :)

Answer:

396 = 341q-333

Step-by-step explanation:

396 is (396 =)

the quantity q times 341 (341q)

333 subtracted from (-333)

Answer:

341q - 333 = 396

Step-by-step explanation:

multiply q and 341, you get 341q

a number that is subtracted from another number is the same as saying 2 is subtracted from 5 gives you 3, which can be laid out as 5 - 2 = 3

therefore your equation will be 341q - 333 = 396

extra information :

341q = 396 + 333

341q = 729

q = 729/341

q = 2.137829912

[tex]\text{Given that,}~ q =-4~ \text{and}~ g =1\\\\~~~~~\dfrac{6q}{4}(6g) -q\\\\\\=\dfrac{6(-4)}{4}(6\cdot 1) - (-4)\\\\\\=-6\cdot 6 +4\\\\\\=-36 +4 \\\\\\=-32[/tex]

Step-by-step explanation:

6q/4 (6g) - q

6(-4)/ 4 [6(1)] - (-4)

-24/4 (6) + 4

-6(6) + 4

-36 + 4

-32

Answer:

1.50 x 10^11.

Step-by-step explanation:

There 11 digits after the 1 so it is:

1.50 x 10^11.

(1495  to 3 s. f. is 150)

Answer:

[tex]y=\frac{2}{3}x+4[/tex]

Step-by-step explanation:

Calculate the slope by using rise over run to get 2/3x

The Y Intercept is 4

The standard deviation of the amount paid for monthly water usage is $35.25

From the summary statistics, we have:

Standard deviation, σ = 2350

Rate = $0.015

The standard deviation of the amount is calculated using:

σ = Standard deviation * rate

This gives

σ = 2350 * $0.015

Evaluate

σ = $35.25

Hence, the standard deviation of the amount paid for monthly water usage is $35.25

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Answer:

Step-by-step explanation:

Draw a straight line.

Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees  going up and apart.

Then draw the fourth line joining the ends of these 2 lines.

The 2 angles formed will equal 60 degrees.

The quadrilateral formed is a trapezoid.

Answer:

-1

2

4

Step-by-step explanation:

You have to replace x with each number that is given, follow the order of operations, and then you have the correct y value.

Answer:

The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.

Step-by-step explanation:

We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.

Hope this helps:) Goodluck!

Answer:

y=4x-3

Step-by-step explanation:

Using y - intercept form:

y=mx+b

Slope goes up by 4 squares and to the right by 2 squares. This means the slope is 4. The y intercept is -3, thus b is -3.

Answer:

I think it's 55

Step-by-step explanation:

10C3 + 5C3

Answer:

AB=5

Step-by-step explanation:

3x-4=5x-10

-4=2x-10

6=2x

3=x

AB= 3(3)-4

9-4

5

Answer:

ab = 5.

Step-by-step explanation:
As the 2 sides are equal in length:

3x - 4 = 5x - 10

3x - 5x = -10 + 4

-2x = -6

x = 3.

So ab = 3x-4 = 3(3)-4

= 5.

Answer:

y ≥ 1

Step-by-step explanation:

The graph of an inequality is illustrated, with a solid horizontal line passing through point (0, -1) and shading above the line.

It indicates that the line equation is:

For various x values, y=-1.

Also, because the darkened region is above the line, i.e. towards the origin, it must pass the 0-test.

As a result, the inequality is:

y≥-1

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

Hope this helps

This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:

[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]

For the limit of a function to be continuous at a point x = a, the left hand limit of the function must be equal to the right hand limit.

Mathematically, the expression below must be true

[tex]\lim_{x \to a^+} a_n = \lim_{x \to a^-} a_n =f(c)[/tex]

This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:

[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]

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Answer:

D

Step-by-step explanation:

13x16=208

208/3= 69 reapeated.

Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:

[tex]\frac{4}{9}[/tex]

It is given by the change in the output divided by the change in input.

In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:

r = (12 - 8)/(13 - 4) = 4/9.

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Answer:

B

Step-by-step explanation:

4/13

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]

                   = [tex]\frac{1}{6}[/tex]

Answer:

63,000 milligrams

Step-by-step explanation:

there are 1,000 milligrams in one gram. So, 63 x 1,000 = 63,000

Answer:

12 ft

Step-by-step explanation:

Tim Height: Tim Shadow
5ft              : 2ft

Tree Height: Tree Shadow
30ft              : ?ft

Using this knowledge, we can compare Tim's Height to the Tree's Height. The tree's height is 6 times more than Tim (5x6=30). We can find the shadow of the tree if we multiple tim's shadow by 6.

Therefore, 2ft x 6 = 12ft

The Tree's Shadow is 12ft.