Juan graphed the solution to the inequality StartAbsoluteValue r minus 4 EndAbsoluteValue greater-than 8 on the number line.

A number line going from negative 8 to positive 16. Open circles are at negative 4 and positive 12. Everything to the left of negative 4 and to the right of positive 12 is shaded.

Which inequality statement can be used to help determine if the graph is correct?
When r = negative 4, StartAbsoluteValue negative 4 minus 4 EndAbsoluteValue greater-than 8, which is true because 8 is equal to 8.
When r = negative 8, StartAbsoluteValue negative 8 minus 4 EndAbsoluteValue greater-than 8, which is true because –12 is less than 8.
When r = 14, StartAbsoluteValue 14 minus 4 EndAbsoluteValue greater-than 8, which is true because 10 is greater than 8.
When r = 8, StartAbsoluteValue 8 minus 4 EndAbsoluteValue greater-than 8, which is true because 4 is less than 8.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

a) 7x=7

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: