Dilation and reflection
-multiplication of - =reflection
example -(x)
-multiplication of any number other than 1=dilation
example 3x
-addition/subtraction inside the function=horizontal translation
Example (x-3)
-addition/subtraction outside the function=vertical translation
Example x-3
Answer:
18
Step-by-step explanation:
367 167
Given:
The given quadratic equation is
or,
And
The roots are given:
To find the missing step.
Let us solve the equation.
or,
or, [ eliminating 16 from both the side]
or,
or,
or,
Hence,
The step 2 could be
Answer:
144 ways
Step-by-step explanation:
Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.
THey can be arranged in 4! ways, which is:
4! = 4 * 3 * 2 * 1 = 24 ways
Now, the 3 persons themselves can be arranged in 3! ways, which is:
3! = 3 * 2 * 1 = 6 ways
Total ways = 4! * 3! = 24 * 6 = 144 ways
Answer: 183 m
Step-by-step explanation:
See the attached figure....
Find the distance BC. We know that in the right triangle ABC
Cos(60°) = BC/AB ----> adjacent side divided by the hypotenuse
Remember that
Cos (60°) = 1/2
substitute the values
1/2 = a / 500
a = 250 m
step 2
Find the distance AC
In the right triangle ABC
Sin (60°) = AC/AB----> opposite side divided by the hypotenuse
Remember that
Sin(60°) = √3/2
substitute the values
√3/2 = b/500
b = 250√3 = 433 m
step 3
Find the distance AC+CB
433 + 250 = 683 m
Subtract the distance AB from 683 m
683 - 500 = 183 m