Answer:
Step-by-step explanation:
W = 2L + 3, and:
P = 2W + 2L = 192
Substituting 2L + 3 for W, we get:
P = 2(2L + 3) + 2L = 192, or
4L + 6 + 2L = 192, or:
6L = 186
L = 186/6 = 31
The length is 31, the width is 62 + 3, or 65
Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)
Answer:
y = 3
Step-by-step explanation:
The vertex of the parabola is (1,4) and the axis of the parabola is parallel to the positive y-axis.
So, the equation of the parabola will be (x - 1)² = 4a(y - 4) ....... (1)
Now, we have to get the value of a since the equation id the directrix is y = 4 - a.
Now, the parabola passes through the point (3,5) {Obtained from the graph).
Therefore, from equation (1), we get, 2² = 4a × 1, ⇒a = 1
Therefore, the equation of the directrix is y = 4 - 1 = 3. (Answer)
Answer:
number of cubes need : (20/3) / (1/27) = 180 cubes
Step-by-step explanation:
volume of cube = (1/3)^3 = 1/27
volume of prism = 5/3 * 4/3 * 2 = 20/3
<u><em>number of cubes need : (20/3) / (1/27) = 180 cubes</em></u>
Answer:
Step-by-step explanation:
x - 2 (x - 
) = 2 (4 - x) + 10
x − 2 × 
=2(4−x)+10
x−(−x)=2(4−x)+10
x+x=2(4−x)+10
2x=2(4−x)+10
2x=8−2x+10
2x=−2x+18
2x+2x=18
4x=18
1+1+1+1+1 ...............
