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3 years ago

The sum or product of a non-zero rational number and an irrational number is always

Mathematics

1 answer:

Anarel [89]3 years ago

6 0

Answer:

Irrational

Step-by-step explanation:

A rational number and an irrational number when added will given another irrational number only.

Example consider a rational number 2 and an irrational number √3.

When we add these two we get

2+√3. an irrational number only

There is no chance of getting a rational number when a non zero rational and irrational is added. In other words, there is nothing to cancel the irrational part when another rational number is added.

Hence the result would be irrational

Thus answer is irrational.

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What is the slope and y intercept of y=-x+3

sattari [20]

Y intercept when x =0

 y=-x+3
y = -0 +3
y = 3

 the slope is -1

8 0

3 years ago

Read 2 more answers

Rock climbing. I am out rock climbing, and the rock face has 4 easy, 7 challenging, and 3 extreme routes to get to the top. The

marishachu [46]

Answer:

0.7857

Step-by-step explanation:

Given the following :

Number of Easy faces = 4

Number of challenging faces = 7

Number of extreme faces = 3

Total number of faces or route = (4 + 7 + 3) = 14

If one route is chosen at random, the probability of not choosing an extreme route will be :

Probability = (required outcome / Total possible outcomes)

P(not choosing an extreme route) = 1 - P(choosing an extreme route)

P(choosing an extreme route) = 3 / 14 = 0. 2143

Hence,

P(not choosing an extreme route) = 1 - 0.2143

= 0.7857

4 0

4 years ago

The diameter of a circle has endpoints (2,-6) and (-4,-16).

olga nikolaevna [1]

Answer:

$(x + 1)^{2} + (y + 11)^{2} = 34$

Step-by-step explanation:

First find the midpoint of the segment from (2, -6) to (-4, -16)

((2 - 4)/2, (-6 - 16)/2)

(-2/2, -22/2)

(-1, -11) is the midpoint and is the center of the circle

Now find the distance between the 2 given points and divide by 2 to get the radius of the circle

d = $\sqrt{(2 + 4)^{2} + (-6 + 16)^{2} }$

= $\sqrt{6^{2} + 10^{2} }$

= $\sqrt{36 + 100}$

= $\sqrt{136}$

r = $\sqrt{136}$ /2

$r^{2}$ = 136/4 = 34

Equation of circle with center at (-1, -11) and radius = $\sqrt{34}$ is

$(x + 1)^{2} + (y + 11)^{2} = 34$

3 0

3 years ago

If you roll two fair dice(one black die and one white die) in how many ways can you obtain a 2 on the black die?

BigorU [14]

The number of ways that you obtain a 2 on the black die is 6 ways.

If two fair dice(one black die and one white die) are rolled, in order to know the number of ways a 2 can be obtained on the black die, we will use the method of combination.

Combination has to do with selection. Hence the way a 2 can be obtained on a black die is 6C1

Note that a die has 6 faces and a 2 can only occur once in a toss.

Get the required number of ways:

$6C1 =\frac{6!}{(6-1)!1!}\\6C1=\frac{6!}{5!1!}\\6C1=\frac{6\times 5!}{5!}\\6C 1=6 ways$

Hence the number of ways that you obtain a 2 on the black die is 6 ways.

Learn more here: brainly.com/question/23327040

5 0

3 years ago

Are these numbers rational or irrational? √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational pl

77julia77 [94]

Step-by-step explanation:

any rational number can be expressed as a/b, with a and b being integer numbers, and b different to 0.

-7 = -7/1 rational

sqrt(10) irrational (because there is no rational number multiplied by itself that results in 10)

sqrt(16) = sqrt(4×4) = 4 = 4/1 rational

52% = 52/100 rational

1.235 = 1235/1000 rational

5 0

3 years ago