Answer:
10.8 cm
Step-by-step explanation:
Using cosine law
g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)
g² = 116.7018433
g = 10.80286274
Answer:
No, because AB is 2/5 the length MN but CD is 1/3 the length QP.
Step-by-step explanation:
Comparing the corresponding sides, the length of AB is 4. The length of MN is 10. This makes their ratio 4/10 = 2/5.
The length of CD is 2. The length of QP is 6. this makes their ratio 2/6 = 1/3.
The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.
The equation of the new function is 
Explanation:
The Parent function is 
We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.
The function transformation formula is given by
Where a stretches the function vertically
b compresses or stretches it horizontally,
c shifts the function left or right
d shifts the function up or down
Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.
Hence, 
and 
Substituting these values in the formula, we have,
Thus, the equation of the new function is
Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
y = (x -3)² -2
Answer:
37.70 cm^2
Step-by-step explanation:
area of circle with radius 4 cm = (pi)r^2 = 3.14159 * (4 cm)^2 = 50.27 cm^2
area of circle with radius 2 cm = (pi)r^2 = 3.14159 * (2 cm)^2 = 12.57 cm^2
difference in areas = 37.70 cm^2
