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3 years ago

Find three rational number between -3/7 and -2/7

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

7 0

9514 1404 393

Answer:

-11/28, -5/14, -9/28

Step-by-step explanation:

If we express these fractions using a denominator of 28, then we are looking for three numbers between -12/28 and -8/28. We can use numerators of -11, -10, and -9 to give 3 evenly-spaced numbers in the desired interval.

One set of possibilities is ...

-11/28

-10/28 = -5/14

-9/28

_____

<em>Additional comment</em>

There are an infinite number of rational numbers between any pair of numbers. One way to look at this problem is using decimal equivalents.

-3/7 ≈ -0.42857

-2/7 ≈ -0.28571

So, we could use, for example, -0.2858, -0.2859, -0.286, -0.2861.

kondor19780726 [428]3 years ago

4 0

Answer:

-5/14, -11/28, -21/56

Step-by-step explanation:

Multiply the numerator and denominator by two, and split the difference of the numerator. Continue three times.

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Quadrilateral ABCD has vertices A(-2,4), B(-3.-3), C(-5,-2), D(-5,2). Which of the following are the coordinates of A’ after a d

Gala2k [10]

<h2>Answer:</h2>

$\boxed{A'(-5,10)}$

<h2>Step-by-step explanation:</h2>

Dilation is when you stretch something by the same amount in two perpendicular directions. In other words, dilation changes size, not overall shape. Dilation factors greater than one makes the shape greater while dilation factors less than one makes the shape smaller. The scale factor in this problem is:

$2\frac{1}{2}$

Which is a mixed fraction. This can be transformed into an improper fraction as follows:

$2\frac{1}{2}=2+\frac{1}{2}=\frac{4+1}{2}=\frac{5}{2}$

So the scale factor is $\frac{5}{2}$ . Since the center of dilation is the origin, we just need to multiply each vertex of the quadrilateral by the scale factor. Thus, for A we have:

$A'(-2\times \frac{5}{2},4\times \frac{5}{2})=\boxed{A'(-5,10)}$

3 0

4 years ago

8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm

Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

8a₈ = 12a₁₂
d = -2,
a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

8(a₁ - 14) = 12(a₁ - 22)
2(a₁ - 14) = 3(a₁ - 22)
2a₁ - 28 = 3a₁ - 66
3a₁ - 2a₁ = -28 + 66
a₁ = 38

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3 years ago

Which of the following are measurements of the sides of a right triangle?

viva [34]

For a triangle to be right angled the largest side squared must equal the sum of the squares on the other 2 sides ( Pythagoras theorem)

1. 101^2 = 99^2 + 20^2 so its is right angled

2. 28^2 is not equal to 26^2 + 12^2 - not right angled

3. 17^2 not euql to 14^2 + 6^2 - not

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3 years ago

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KIM [24]

Answer:

Step-by-step explanation:

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wlad13 [49]

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3 years ago

Find three rational number between -3/7 and -2/7​

Find three rational number between -3/7 and -2/7