Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x-ax
is?
2 answers:
Answer:
A
Step-by-step explanation:
Transformation rule : The coordinates change by the rule when the figure rotate 90 degrees about the origin is given by
Transformation rule: When the figure reflected across x- axis then the coordinates change by the rule
The given figure cut x - axis at x=3
The coordinates (3,0).
After 90 degrees rotation about origin the coordinates becomes (0,3).
After reflection across x- axis , the coordinates becomes (0,-3).
Only in first figure, there is (0,-3) .
Hence, the option A is true.
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Answer:
Width=4.7 ft
Length=16.1 ft
Step-by-step explanation:
Let the width of the table to be x ft
Then the length should be two more than three times the width= 2+3x ft
The area of the serving table should be 75 ft²
But you know the area of this table is calculated by multiplying the length by the width of the table
Hence, Area= length× width
Length=x ft and width =2+3x ft
75ft²= (x ft) × (2+3x ft)
Apply the quadratic formula to solve this quadratic equation
The formula is ;
x= (-b ±√b²-4ac)÷2ac
where a=3, b=2 and c=-75
x= (-2 ± √2²-4×3×-75)÷(2×3)
x=(-2±√4+900)÷6
x=(-2±√904)÷6
x=(-2±30.1)÷6
x=(-2+30.1)÷6=4.683⇒4.7(nearest tenth)
or
x=(-2-30.1)÷6= -32.1÷6=-5.35⇒ -5.4
Taking the positive value
x=width =4.7 ft
2+3x= length= 2+3(4.7)=16.1 ft