Answer:
4a2
Step-by-step explanation:
For a cube the lateral surface area would be the area of the four sides. If the edge of the cube has length a, the area of one square face Aface = a ⋅ a = a2. Thus the lateral surface of a cube will be the area of four faces: 4a2.
If by 4x(2) you mean 4x to the power 2 or 4x^2...it can be solved in the following way
f(x)=4x^2-4x-3
=4x^2+2x-6x-3
=2x(2x+2)-3(2x+2)
=(2x-3)(2x+2)
Therefore x=3/2 or x=-2/2=(-1)
So 20% of 30 is 6
30% * 30 is 9
Alexa completed 6 of 30 questions
Brent completed 9 of 30 questions
Brent completed 3 more questions than Alexa
Hope this helps :)
Answer: 242 students do not like football or baseball
Step-by-step explanation:
The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.
If 45 students like both sports, then the number of students that like football only would be
115 - 45 = 70
Also, the number of students that like baseball only would be
100 - 45 = 55
The number if students that like at least one of the sports is
70 + 55 + 45 = 170
Therefore, the number of students that do not like football or baseball would be
412 - 170 = 242
To solve this problem you must apply the proccedure shown below:
1. The vertex i at <span>(0, 36) and a focus at (0, 39), then you have:
a=36
a^2=1296
2. The directrix is:
y=a^2=c
c=39
y=1296/39
</span>y=432/13<span>
Therefore, the answer is the option D, which is: </span><span>D. y=± 432/13</span>
