Answer:
r=1
Step-by-step explanation:
-4 r -10r + -5= -19
-4r + (-10r) + -5=-19
-14r+ -5 = -19
-14r + -5 +5= -19+5
-14r= -14
r=1
Answer:
The number of ways are there to paint the four buildings is 48.
Step-by-step explanation:
I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.
Therefore the first building can be colored in 4 ways.
ii) the second building can be colored in 3 ways since it cannot be colored the
same color as the first building.
iii) the third building can also be colored in 3 ways.
iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.
Therefore the total number of ways the buildings can be colored = 4 
3 3 2 = 48.
Answer:
8 miles
Step-by-step explanation:
We start by calculating the distance between the two points
To calculate this, we use the distance formula
Let the distance be D
We have the formula as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-2+2)^2 + (-5-3)^2
D = √(64)
D = 8 units
Since 1 unit is 1 mile,
then 8 units will be 8 * 1 = 8 miles
Answer:
- 8, 15, 17 — yes
- 15, 20, 25 — yes
- 20, 48, 52 — yes
- 2, 9, 11 — no
- 39, 80, 89 — yes
Step-by-step explanation:
The squares of the three numbers in each of the given triples are listed. When the sum of the first two numbers is equal to the third, the set of numbers in the triple is a Pythagorean triple.
{64, 225, 289}, yes
{225, 400, 625}, yes — a 3,4,5 triple multiplied by 5
{400, 2304, 2704}, yes — a 5,12,13 triple multiplied by 4
{4, 81, 121}, no*
{1521, 6400, 7921}, yes.
___
* the smallest set of integers that is a Pythagorean triple is {3, 4, 5}. The number 2 in this group tells you this cannot be a PT.
Answer:
false
Step-by-step explanation:
10/12 is 5/6 and 6/8 is 12/16 that's the closest whole number proportionality also, it would both have a difference of 2
