Mathematics, 06.05.2020 06:11 cheefdogg420

(25 points) Which list contains only rational numbers?

A. 0, 1/2, 1.5, 2.82843
B. -4, 0, 1/4, 1.5
C. 0.894427, 4, -1, 2.454545...
D. -2, 1, 2.6666..., 1.22474

Answers: 3

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A rational number is any number that can be wrote as a fraction (p/q). A rational number is the quotient or fraction of two integers. It is seen as a ratio of two integers as well. Repeating/terminating decimals are also rational numbers as they can be shown as the ratio of two integers. (p/q) the fraction, will have both the numerator and denominator being whole numbers.

what we can do: Look at each number in the sequences and see which will have only rational numbers. A: 0 is rational, 1/2 is rational because it is a ratio of two integers, 1.5 is rational because it can be written as 3/2, and 2.82843 is rational because it can be wrote over one as a ratio of two integers.

So A is the only list that contains only rational numbers.

Answer from: Quest

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

$m\angle qrt=156^o$

$m\angle qst=156^o$

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

Answer from: Quest

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b): y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4 perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

Which equation represents a line perpendicular to the line shown on the graph?

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(25 points) Which list contains only rational numbers?

A. 0, 1/2, 1.5, 2.82843
B....

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