Answer:
16
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
y(y² + 4y + 16) - 4x(y² + 4y + 16) ← distribute both parenthesis
= y³ + 4y² + 16y - 4xy² - 16xy - 64x
Compare - axy to - 16xy ⇒ a = 16
Answer:
z=-75/17
Step-by-step explanation:
Expand this equation:
-4z+8+4=-21z-63
-4z+21z=-63-8-4
17z=-75
z=-75/17
Here's one way:
A=WxL
So in this case, it's 2x5
You would draw the rectangle, label one side 2 in. and the other 5 in. Draw an arrow from each no./side and put x underneath the line so that its 2 —x— 5 (2, line, x, line, 5. With x under line)
Answer:
y = -1/10x^2 +2.5
Step-by-step explanation:
The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:
-1 -4 = -5
So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).
The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...
y = (1/(4p))(x -h) +k
y = -1/10x^2 +2.5
_____
You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.
Answer:
297 feet
Step-by-step explanation:
11 × 6 × 6 = 396
396 × 3/4= 297 ft