What is the slope of the line that passes through the points (4, 7) and (5,8)?

Mathematics

1 answer:

slava [35]3 years ago

8 0

Answer:

Step-by-step explanation:

Use the coordinates of the points to determine the slope

slope = Δy/Δx = (8-7)/(5-4) = 1

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Which expression has an irrational answer?

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Solution:

A number is said to be irrational , if the decimal expansion of a number is non terminating non repeating.

For example , 2.01001000100001......., √3,∛5,....

Now coming to Options

(A) 4 + 2.5

4 as well as 2.5 is rational . So sum of two rational is a rational.

(B) 3 × $\frac{1}{3}$

Since 3 is rational , but $\frac{1}{3}$ is irrational. So product of rational and irrational should be irrational.

Because $\frac{1}{3}$ = 0.333333.......(non terminating non repeating)

But numerator which is 3 and denominator which is 3 cancels out and result is 1 which is rational number.

= $2 (a)^7$

= $a^7$ has denominator of the form other than $2^a or 5 ^b or (2 ^a \times 5 ^b)$ , then it is irrational number.

So, $2 (a)^7$ is rational or irrational depends on the value of a.

(D) 1.25 + 4.25

Both 1.25 as well as 4.25 are rational. So their sum is rational.

So, option (C) $2 (a)^7$ may be irrational , it totally depends on the value of a.

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Answer:

Step-by-step explanation:

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