Answer:
The coordinates are and .
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where is the vector translation.
If we know that and , then the vector translation is:
Then, we determine the coordinates for Y' and Z':
The coordinates are and .
Answer:
The expression is not factorable with rational numbers. x^2-10xy + 24y
Step-by-step explanation:
$6.25 × h = c
h = hours, c = total cost
$31.25 for 5 hours. $6.25 per hour
$50 for 8 hours. $6.25 per hour
Area = 1/2 x base x height
Let the height be x.
Height = x
Base = 2x
Area of triangle = 1/2 x base x heght
Plug base and height into the variables:
(1/2)(2x)(x) = 196
Combine like terms:
x² = 196
Square root both sides:
x = 14
Find Base and height:
Base = x = 14 km
Height = 2x = 2(14) = 28 km
Answer: Height = 28km
2 and 2/3
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