The degenerate conic that is formed when a double cone is sliced at the ap-ex by a plane parallel to the base of the cone is a <u>Point</u>.
<h3>What degenerate conic is formed?</h3>
When a plane that is parallel to the base of a double cone is used to slice the ap-ex, the conic section formed is a circle.
Circles lead to a Point degenerate conic being formed because a single point will be formed on the double cone that separates the shape.
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Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
There is no list and no choices given.
The solutions of | x | = 10 are x = 10 and x = -10 .
All (both) solutions happen to be integers.
There are no other solutions.
Answer:
37.5 percent
Step-by-step explanation:
Well, there are 25+15=40 total people. Since there are 15 children, the percent is 15/40, which is equal to .375
Because percent is by hundredths, multiply by 100 by moving the decimal to the right twice, and you have a percentage of 37.5.
P(B) = 2/15
The area of rectangle A is 5(7) = 35 in².
The area of rectangle B is 3(4) = 12 in²
The area of square C is 4(4) = 16 in²
The area of rectangle D is 3(9) = 27 in²
The total area of the figure is 35+12+16+27 = 90 in².
The probability of hitting B is 12/90 which simplifies to 2/15.