The two dinosaurs probably crossed paths at estimated coordinates (- 1, 2.5).
To find where the two equations actually intersect, set them equal to each other.
- 1/2x + 3 = 2x + 4
Subtract 4 from both sides, and add 1/2x to both sides to combine like terms.
2 1/2x = - 1 --> 5/2x = - 1
Multiply by 2/5 on both sides to isolate x
x = - 1(2/5)
x = - 2/5
Now plug in to either of the two equations. I used 2x + 4
- 1/2(- 2/5) + 3 = y
1/5 + 3 = y
y = 3 1/5
The actual coordinates where the dinosaurs crossed paths was (- 2/5, 3 and 1/5).
My original estimate was (- 1, 2 1/2) because based on the graph drawn above the point of interest (the intersection) appears to be below the third unit on the y-axis as well as in between the negative two unit and origin on the x-axis. My estimate was also off because the x-axis is counting by twos which does not necessarily allow for an accurate estimate strictly based on the naked eye.
Answer:
The measures of two angles have a sum of 90º if and only if the angles are complements. Hope this help
Step-by-step explanation:
15 minutes is 1/4 of an hour
How many 15 minutes are in 2 hours?
There are 8 so:
45 x 8 = 360
360 pages
This question is a very hard and difficult one to answer. The main reason
<span>is because you said "the right rectangular prism shown" and then you didn't </span>
show it. So all I can tell you is this:
-- The volume of each small cube is
(1/4) x (1/4) x (1/4) = 1/64 cubic inch .
-- The volume of the right rectangular prism that's not shown is
<span> (length in inches) x (width in inches) x (height in inches) cubic inches. </span>
The number of small cubes needed to fill the invisible right rectangular prism is ...
(volume of the missing right rectangular prism)
divided by
(volume of each small cube) .
That's
<span> (volume of the alleged right rectangular prism) </span>
divided by
(1/64 cubic inch)
<span>= </span>(64) times (volume of the rumored right rectangular prism)<span> .</span>
