Answer:
B
Step-by-step explanation:
In similar triangles corresponding sides are in same ratio

The equation of parabola is 
Comparing with the vertex form of the parabola: 

Hence, the vertex of the parabola is given by (h,k) = (1, -2)
Now, vertex is the midpoint of the focus and the point on the directrix.
Distance, between vertex and focus is p and that of point on the directrix is p.
Now, let us find p

Thus, the focus is given by

And the directrix is given by

Since, a >0 hence, it is an upward parabola.
The graph is shown in the attached file.
4^ sqrt(400) / (4^ sqrt(5))
= 4^20/ 4^ sqrt(5)
= 4^ (20- sqrt(5)
The final answer is 4^ (20- sqrt(5)~
-(-7y + 12) = 7y - 12
u are distributing the -sign through the parenthesis...so u take the number outside of the parenthesis (and if it just a sign, the number is 1)...and u multiply it by everything in the parenthesis.
-1(-7y + 12) = -1 * -7y + (-1) * 12 = 7y + (-12) = 7y - 12
Answer:
<em>The family will need to purchase 187 square ft carpeting.</em>
Step-by-step explanation:
<u>Area of Rectangles</u>
Given a rectangle with width W and length H, the area is calculated as follows:
A = W * H
The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.
The total area of the carpet is the sum of the areas of three rectangles.
The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:
A1 = 3 ft * 20 ft = 60 square ft
The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:
A2 = 3 ft * 17 ft = 51 square ft
The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:
A3 = 4 ft * 19 ft = 76 square ft
The total area of the carpet is:
A = 60 square ft + 51 square ft + 76 square ft
A = 187 square ft
The family will need to purchase 187 square ft carpeting.