Which statements are true about the location of 5.25 on the number line? check all that apply.
1.5
5.25 should be plotted between 4.5 and 6.0.
5.25 should be plotted between 4.75 and 5.0.
5.25 is closer to 6.0 than to 5.0.
5.25 is the same distance from 5.0 as from 5.5.
5.25 is the same distance from 4.5 as from 6.0.

i. 5.25 should be plotted between 4.5 and 6.0.

ii. 5.25 is the same distance from 5.0 as from 5.5.

iii. 5.25 is the same distance from 4.5 as from 6.0.

Step-by-step explanation:

A number line is a straight horizontal line for locating any given directed number(s). It extends infinitely in any direction.

From the given question, 5.25 is a positive directed number and should be plotted between 4.5 and 6.0. Since 6.0 - 5.25 = 0.75 and 5.25 - 4.5 = 0.75, then is the same distance from 4.5 as from 6.0. Finally, it is of the same distance from 5.0 as from 5.5.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it