Find the slope of (0,0) (6,8)
1 answer:
You might be interested in
Answer:
Exponential growth
Step-by-step explanation:
The graph of y=5(1.12^x) is positive and upward sloping.
Answer:
Therefore the solution is = k{-7,5,1} where k ∈R
Step-by-step explanation:
Given that,
f₁(x) =x
f₂(x)= x²
f₃(x)= 7x - 5x²
Also,
g(x) = c₁f₁(x)+c₂f₂(x)+c₃f₃(x)
Putting the values of f₁(x), f₂(x) and f₃(x).
g(x) = c₁.x+c₂x²+c₃(7x-5x²)
Given condition that g(x)= 0
∴ c₁.x+c₂x²+c₃(7x-5x²)=0
⇒(c₁+7c₃)x +(c₂-5c₃)x² = 0
Comparing the coefficients of x and x²
∴c₁+7c₃=0 and c₂-5c₃ =0
Let c₃= k [k∈R]
Then c₁ = -7k and c₂=5k
Therefore the solution is = { c₁,c₂,c₃}
= {-7k, 5k, k}
=k{-7,5,1}
Answer: the shortest side is 279.24 feet
Step-by-step explanation:
The diagram of the triangle in shown in the attached picture. The given angles of 30 degrees and 50 degrees are for the shorter sides.
Since the sum of angles in a triangle is 180 degrees, it means that the angle of the longer side, x will be
x = 180 - (30 + 50)
x = 180 - 80 = 100 degrees
The sine rule states that
a/sinA = b/sinB = c/sinC
c = 550
a = the shortest side.
Therefore
a/sinA = c/ sinC
a/sin30/= 550/sin100
asin100 = 550sin30
0.9848a = 550×0.5 = 275
a = 275/0.9848
a = 279.24 feet
