Use the lengths of corresponding sides
so answer is 16:40 which simplifies to 2:5.
The slope of the line = (2- -8) / (3 - - 5) = 10 / 8
= 5/4
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line so here we have:-
y - 2 = 5/4(x - 3)
y = 5/4x - 15/4 + 2
y = 5/4 x - 7/4 is the answer
Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
Answer:
It'll take 38.3 years to obtain the desired return of $25,000.
Step-by-step explanation:
In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:
(25000 + 8000) = 8000*e^(0.037*t)
33000 = 8000*e^(0.037*t)
e^(0.037*t) = 33000/8000
e^(0.037*t) = 4.125
ln[e^(0.037*t)] = ln(4.125)
t = ln(4.125)/(0.037)
t = 1.4171/0.037 = 38.2991
t = 38.3 years
Answer:
The arc length is 185.39 meters.
Step-by-step explanation:
The arc length is calculated by the following expression:
Where:
- Radius, measured in meters.
- Central angle, measured in radians.
If 
and 
, the arc length, measured in meters, is:
The arc length is 185.39 meters.
