Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1,4) and (x₂, y₂ ) = (- 5, 3)
d = 
= 
= 
= 
≈4.12 ( to 2 dec. places )
To find the midpoint use the midpoint formula
[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
Using the same points as above then
midpoint = [0.5(- 1- 5), 0.5(4 + 3 ) ] = [0.5(- 6), 0.5(7) ] = (- 3, 3.5 )
Answer:
Step-by-step explanation:
if there are 14 boys to 9 girls in a class the ratio would be
14:9
Answer: 82 degrees
Step-by-step explanation:
Answer:
the answer is 14:1
Step-by-step explanation:
The <em><u>correct answers</u></em> are:
7 mugs on each shelf; and 7 shelves for blue and 8 shelves for red.
Explanation:
To find the number of mugs that will fit on each shelf, we find the GCF (greatest common factor) of 49 and 56. To do this, we find the prime factorization of each:
49 = 7(7)
56 = 7(8)
8 = 2(4)
4 = 2(2)
56 = 2(2)(2)(7)
The only common factor is 7, so this is the GCF. This means that she needs to put 7 mugs on each shelf.
Since there are 49 blue mugs, she needs 49/7 = 7 shelves for them.
Since there are 56 red mugs, she needs 56/7 = 8 shelves for them.
