Answer:
(3x+2)^2+1
Step-by-step explanation:
Answer:
the rate of each train is 139 km/h and 159 km/h.
Step-by-step explanation:
let
v = the rate of the slower train
v + 20 = the rate of the faster train
d = 1490 km the distance that the two train will travel
t = 5 hr the time of the travel
since speed = distance/time => distance = speed*time
v*t + (v+20)t = d
5v + 5(v + 20) = 1490
5v+5(v+20)=1490
Step 1: Simplify both sides of the equation.
5v+5(v+20)=1490
5v+(5)(v)+(5)(20)=1490(Distribute)
5v+5v+100=1490
(5v+5v)+(100)=1490(Combine Like Terms)
10v+100=1490
10v+100=1490
Step 2: Subtract 100 from both sides.
10v+100−100=1490−100
10v=1390
Step 3: Divide both sides by 10.
10v/10 = 1390/10
v = 139km/h
Next
we add 139 to 20
139 + 20 = 159 km/h
the rate of each train is 139 km/h and 159 km/h.
Let's say that Sagan's age is x and Orion is x + 6 (since Sagan is younger by 6 years).
We know that Orion's age + Sagan's age is 24, so x + x + 6 is 24
2x = 18
x = 9
That means that Sagan is 9, and Orion is 9+6 or 15.
A triangle with 45 cm of perimeter has 15 cm of side. The
"altitude" connects the middle of one side to the opposite vertice. This forms a rectangle triangle with hypothenuse 15 cm and the small catet a= 7.5 cm. So by the Pythagoras theorem we must solve the equation:
7.5^2+b^2=15^2
b=sqrt(225-56.25)=sqrt(168.75)=12.99 cm
Other solution was using trigonometry:
b/(side)= sin(pi/3)=sqrt(3)/2
b=7.5*sqrt(3)/2=12.99 cm
Hello :
y exist : x+6 <span>≥ 0
x </span>≥ -6
