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2 years ago

Is -13/3 rational or irrational

Mathematics

1 answer:

denis23 [38]2 years ago

7 0

Answer:

It is irrational

Step-by-step explanation:

Hope that helps!

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Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Hint: Use the Pythagorean T

Paul [167]

The distance between two points on the plane is given by the formula below

$\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}$

Therefore, in our case,

$A=(-1,-3),B=(5,2)$

Thus,

$\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}$

Therefore, the answer is sqrt(61)

In general,

$-(-n)=n$

Remember that

$-n=(-1)\cdot n$

Therefore,

$\begin{gathered} a-(-n)=a+(-1)(-n)=a+(-1)(-1\cdot n)=a+(-1)^2\cdot n=a+1\cdot n=a+n \\ \Rightarrow a-(-n)=a+n \end{gathered}$

6 0

1 year ago

The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?

Bingel [31]

AB - C2 = (x2)(3x + 2) - (x-3)2
AB - C2 = 3x3 + 2x2 - (x2 -6x +9)
AB - C2 = = 3x3 + 2x2 - x2 + 6x - 9
AB - C2 = = 3x3 + x2 + 6x - 9

6 0

3 years ago

Read 2 more answers

If y varies inversely as x and y = 27 when x = 12 , find x when y = - 9 .

Sergio039 [100]

Answer:

x = - 36

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 27 when x = 12, then

k = yx = 27 × 12 = 324, thus

y = $\frac{324}{x}$ ← is the equation of variation

When y = - 9, then

- 9 = $\frac{324}{x}$ ( multiply both sides by x )

- 9x = 324 ( divide both sides by - 9 )

x = - 36

3 0

3 years ago

A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.

-BARSIC- [3]

Answer:

the height of a square pyramid is 139.3 cm

7 0

3 years ago

PLEASE HELP IM IN 4th grade

skad [1K]

Answer:

30 feet

Step-by-step explanation:

a = l * w

Its a square so l and w are the same

x * x = 900

30 * 30 = 900

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

If you know about square roots

x = √900

x = 30

7 0

3 years ago