Answer:
Step-by-step explanation:
The table shows how the time it takes a train to travel between two cities depends on its average speed.
function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour
y represents the time
and x represents the average speed
WE know distance = speed * times
LEts find the distance using the table
distance = 32* 5= 160
40*4= 160
50*3.2 = 160
Time = distance / speed
times is y , distance is 160 and speed is x
Answer:
2.5 is closer to 0
Step-by-step explanation:
when using 2.5 you have to round down and if you round down you get 0 not 5.
Answer:
3x^2 + 3xz + 2y^2 - 2yz - xy
Step-by-step explanation:
(1) multiply it to get
3x^2 - 3xy + 3xz and 2yx + 2y^2 - 2yz
add similar variables (-3xy + 2yx)
( the order of the variables doesn't matter xy or yx is the same)
we get -xy
and then after that simplifying we get 3x^2 + 3xz + 2y^2 - 2yz - xy
Step-by-step explanation:
1/3x=1/6
x/3=1/6
cross multiply
6x=3
divide both sides by 6
x=3/6
x=1/2
Answer:
(Triangular pyramid)
Lateral area = 1650
Total surface area = 1860.1
(Triangular prism)
Volume = 660
Step-by-step explanation:
<u> For the triangular pyramid</u>
Area of triangle = 
× base × height
Area of the base = × 22 × 19.1 = 210.1
Area of the sides = × 22 × 50 = 550
Number of sides (excluding base) = 3
∴ Total Area = 210.1 + (550 × 3)
= 210.1 + 1650 = 1860.1
Lateral Area = (550 × 3) = 1650
<u>For the triangular prism</u>
Area of the triangle = × 12 × 5 = 30
Volume = Area x Height
Volume = 30 × 22 = 660
