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lesya [120]
2 years ago
11

Write the equation in standard form and classify the comic section it defines.

Mathematics
1 answer:
Leno4ka [110]2 years ago
4 0
Comlplete the squares for each


gropu x's and y's and solve



remember completeing square? do tat for x's and y's

so

(2x²-16x)+(-4y²+48y)-120=0
2(x²-8x)-4(y²-12y)-120=0
2(x²-8x+16-16)-4(y²-12y+36-36)-120=0
2((x-4)²-16)-4((y-6)²-36)-120=0
2(x-4)²-32-4(y-6)²+144-120=0
2(x-4)²-4(y-6)²=8
divide both sides by 8
\frac{(x-4)^2}{4}- \frac{(y-6)^2}{2}=1
das be hyperbola








2.
(2x²+20x)+(4y²+8y)+46=0
2(x²+10x)+4(y²+2y)+46=0
2(x²+10x+25-25)+4(y²+2y+1-1)+46=0
2((x+5)²-25)+4((y+1)²-1)+46=0
2(x+5)²-50+4(y+1)²-4+46=0
2(x+5)²+4(y+1)²-8=0
2(x+5)²+4(y+1)²=8
divide by 8
\frac{(x+5)^2}{4}+ \frac{(y+1)^2}{2}  =1
das is elipse (becase it is plus)
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Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and G = {1, 2, 3, 4, 5, 6, 7}. What is G?
Nesterboy [21]
Your posted question defines G, then asks what G is.
G is the set in the definition you gave.

G = {1, 2, 3, 4, 5, 6, 7}

_____
Perhaps you want to know the complement of G. That is all the elements of U that are not in G.

G' = {8, 9, 10}
3 0
2 years ago
Help me :,)
IrinaK [193]

Answer:

The rule of the arithmetic sequence is 13 - 2n

The 30th term is -47

Step-by-step explanation:

∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2

∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n

Use n = 1 , 2 , 3 , 4 to check the type of the sequence

∵ n = 1 ⇒ 13 - 2(1) = 11

∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9

∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7

∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5

∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2

∴ The rule of the arithmetic sequence is 13 - 2n

∴ The 30th term = 13 - 2(30) = -47

5 0
2 years ago
Read 2 more answers
Sam is a school leader. She wants to decide whether makeup should be allowed in school or not. She
anastassius [24]

Answer:

Following are the sample list can be attached as follows:

Step-by-step explanation:

In the given question some information is missing that is attachment of list which can be attached as follows:

please find the attachment list:

by evaluating the list it will give the answer that the both the samples most want to wear mascara the least want to wear lipstick.

8 0
3 years ago
Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas
lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

n(S) = n(s) + n(S \cap F)

In which n(s) are those who are succeful but not freshmen and n(S \cap F) are those who are succesful and freshmen.

By the same logic, we also have that:

n(F) = n(f) + n(S \cap F)

The union is:

n(S \cup F) = n(s) + n(f) + n(S \cap F)

In which

n(S \cup F) = 58

n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)

n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)

So

n(S \cup F) = n(s) + n(f) + n(S \cap F)

58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)

n(S \cap F) = 24

So the correct answer is:

b) 24

3 0
3 years ago
How do you figure out what is that makes a number a prime
Mice21 [21]
<span>Prime numbers are the numbers that are bigger than one and cannot be divided evenly by any other number except 1 and itself. If a number can be divided evenly by any other number not counting itself and 1, it is not prime and is referred to as a composite number. Prime numbers are whole numbers that must be greater than 1. Zero and one are not considered prime numbers. Learn how to determine which numbers are prime.

</span>This was not copied from a website or someone else. This was from my last year report.
6 0
3 years ago
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