Erin and her friends are taking a road trip. she has agreed to drive between hours 3 and 6 of the trip. if h represents the hours of the trip erin will be driving, then h ≥ 3 and h≤ 6 represents her portion of the driving. while she is driving, her distance and time are modeled by the inequality d < 70h. what are the possible hours and distances erin could be driving?

Solution:

As given

h =Hours of  the trip Erin will be driving.

Also ,   3 ≤ h ≤ 6

d = Distance traveled

The relation between hours of drive and distance traveled is given by inequality

→d < 70 h

→ h >

→ As 3 ≤ h ≤ 6

→3 ≤     ≤ 6

→3 × 70 ≤ d ≤ 70 × 6

→ 210 ≤ d ≤ 420

So, h ∈ [3,6] then d ∈ (210,420)

The first one: to the right of

Second: to the left of

Third: below

Fourth: (4.5, 200)

Step-by-step explanation:

Edg 2020

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

its adding 5.5 each time

step-by-step explanation: