Answer:
D'G' = 52.5 units
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5
D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )
G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )
Calculate D'G' using the distance formula
d = 
with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)
D'G' = 
= 
= 
= 
= 52.5 units
Answer:
The speed of the jet is 
Step-by-step explanation:
The speed traveled by the jet can be found using the relationship between distance and time. Because the problem gives the values for distance and time, they must be replaced in the equation and in this way the requested speed will be found.
1. Write the general equation for the speed:

2. Replace the values of distance and time on the general equation for the speed and make the mathematical operations:


Therefore the speed of the jet is 
1: 64
2: 59
3: 49
A triangle should always add up to 180 degrees. So just add up the angles you have and subtract them from 180