Answer:
- <u>Your friend will win the race due to speed.</u>
Explanation:
<em>Looking at the image, if both friends had ran at the same speed rate, the match would've ended as a draw because the distance was equal. However, my friend had ran faster than I did, therefore, my friend would've won the race due to speed.</em>
Hoped this helped.

Answer:
16
Step-by-step explanation:
The distance is given by
d = sqrt( (x2-x1) ^2 + ( y2-y1) ^2)
Since the x values are the same
d = sqrt( ( y2-y1) ^2)
d = sqrt( (( -6 - 10)^2))
d = sqrt((-16) ^2)
d = 16
We can also just find the number of squares between the points since the x value is the same.
10 - -6
10+6
16
Answer:
3) 27 cubed
4) 72 cubed
5) 125 cubed
8) 27 cubed. 3 is the length, 3 is the width, and 3 is the height.
9) 72 cubed. 6 is the length, 3 is the width, and 4 is the height.
10) 125 cubed. 5 is the length, 5 is the width, and 5 is the height.
Step-by-step explanation
Here's what to show if your teacher requires for you to show your work.
3) 3 x 3 x 3 = 27
4) 6 x 3 x 4 = 72
5) 5 x 5 x 5 = 125
8) 3 x 3 x 3 = 27
9) 6 x 3 x 4 = 72
10) 5 x 5 x 5 = 125
These are the ones I'd suggest putting the up and down form on.
10) and 5) Also put 5 x 5 = 25. 4) and 9) Also put 6 x 3 = 18.
<em>2 3</em>
25 18
<u>x 5 </u> <u>x 4 </u>
125 72
Hoped this answered everything! Feel free to ask me if there's something I missed! :)
Answer:
Step-by-step explanation:
Realize what (-5)^3 means
(-5)(-5)(-5)
25(-5)
-125
meanwhile
(-9)^2 is
(-9)(-9)
81
Basically a negative times a negative is always positive, but when a negative number is cubed (or raised to any odd exponent for that matter) the product will be negative.
By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:
3x(2x + 1) + 10(2x + 1)
These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again: