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 = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)
D'G' = ![\sqrt{(-28-3.5)^2+(-17.5-24.5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-28-3.5%29%5E2%2B%28-17.5-24.5%29%5E2%7D)
= ![\sqrt{(-31.5)^2+42^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-31.5%29%5E2%2B42%5E2%7D)
= ![\sqrt{992.25+1764}](https://tex.z-dn.net/?f=%5Csqrt%7B992.25%2B1764%7D)
= ![\sqrt{2756.25}](https://tex.z-dn.net/?f=%5Csqrt%7B2756.25%7D)
= 52.5 units
-a) function 2, function 4
-b) function 4
-c) function 2
Answer:
160
Step-by-step explanation:
4 is too low, 90 cant be divided by 8 and 160 is the only answer even though it is highest number
What? You bought a call with options, and 50 lightning??
Answer:
In order to increase humidity by 49.17 grams per kilogram, the increase in temperature will be 18 degree Celsius approx.
Step-by-step explanation:
Initial humidity = 5.75 g/kg
Final humidity= 49.17 g/kg
Percentage increase in humidity= (49.17-5.75)/5.75 *100= 755.13
Increase in temperature= 755.13/43 = 17.56
Increase in temperature = 18 degree Celsius approx.