Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)
Answer:
a)
We know that:
There is a fixed cost of $7
for each mile, you need to pay $0.65
Then if you take the taxi for "m" miles, the total cost is:
c(m) = $0.65*m + $7
Now we know that Gavin also gives a $3 tip, so we need to add this to the cost:
c(m) = ($0.65*m + $7) + $3 = $0.65*m + $10
c(m) = $0.65*m + $10
Now we know that he paid a total of $62.65
Then:
c(m) = $62.65 = $0.65*m + $10
This is the equation we need to solve in order to find m, the number of miles between Gavin's house and the airport.
b)
$62.65 = $0.65*m + $10
We only need to isolate m, we will get:
$62.65 - $10 = $0.65*m
$52.65/$0.65 = m = 81
This means that there are 81 miles between the airport and Gavin's house.
Put 2 together straight up then one over it side ways
2.4,3, 7 1/3, 221/30,7.36 is order from least to greatest
Answer:
C.
x y
2 -24
5 -15
Step-by-step explanation:
We need to find the slope for each table
A.
x y
2 16
5 10
m = (y2-y1)/(x2-x1) = (10-16)/(5-2) = -6/3 = -2
B.
x y
2 14
6 12
m = (y2-y1)/(x2-x1) = (12-14)/(6-2) = -2/4 = -1/2
C.
x y
2 -24
5 -15
m = (y2-y1)/(x2-x1) = (-15--24)/(5-2) = (-15+24)/3 = 3
D.
x y
2 -12
6 -16
m = (y2-y1)/(x2-x1) = (-12--16)/(6-2) = (-12+16)/4 = 1
E.
x y
2 -19
6 -17
m = (y2-y1)/(x2-x1) = (-17--19)/(6-2) = (-17+19)/4 = 1
The greatest unit rate is the largest slope
