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:
391
Step-by-step explanation:
First you must make the fraction a decimal so you can use it in an equation.
To do so move the . over to the left twice.
.68
Now multiply 575 by .68
575 x .68=391
12 People would be able to have 1 half kilogram of chocolate.
In order to solve this problem you have to multiply 6 by 2. There are two halves in a whole. 6 times 2 is equal to 12.
Answer:
The base = 8 cm and the altitude = 4 cm.
Step-by-step explanation:
b = a + 4 where b = base and a = the altitude.
Area = 1/2 * a * b = 16
Area = 1/2 * a * (a + 4) = 16
1/2 a^2 + 2a = 16
a^2 + 4a - 32 = 0
(a + 8)(a - 4) = 0
a = 4 .
b = 4+4 = 8.