Answer:
y = 3x - 1
Step-by-step explanation:
Although the coordinate plane is not given, we don't need it to find the solution. We have given all the conditions enough for the solution.
The y-intercept is (-1) and the function passes through the point ( 1, 2 ).
Only the function y = 3x -1 matches these conditions.
We can observe the points in the attached graph.
The magnitude of the vector is √(7^2+12^2)=√(49+144)=√193
The direction is α=arctan(y/x)=arctan(12/-7)≈-59.74 however this is relative to the negative x-axis so we add 180° to get the standard angle...180-59.74=120.26°
So the vector is √193 @ 120.26°
The proof is given below. Please go through it.
Step-by-step explanation:
To solve Δ ABC ≅ Δ DBC
From Δ ABC and Δ DBC
AB = BD (given)
AC = CD (given)
BC is common side
By SSS condition Δ ABC ≅ Δ DBC ( proved)
To solve Δ EHF ≅ Δ GHF
Δ EHF and Δ GHF
EH = HG ( given)
∠ EFH = ∠ GFH ( each angle is 90°)
HF is common side
By RHS condition
Δ EHF ≅ Δ GHF
Answer:
ANSWER
y = 3x + 6.50
EXPLANATION
The $3 for each downloaded movie is the unit rate of change.
This is represent the slope of the linear function that models this situation.
The monthly fee of monthly fee of $6.50 the constant rate.
It represents the y-intercept of the function.
The linear function is given by
y = mx + by=mx+b
The correct choice is y = 3x + 6.50
