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emmasim [6.3K]
3 years ago
12

What does 6x^2 - 24y^2 equal too

Mathematics
1 answer:
evablogger [386]3 years ago
7 0
Simplify the following:
6 x^2 - 24 y^2

Factor 6 out of 6 x^2 - 24 y^2:
6 (x^2 - 4 y^2)

x^2 - 4 y^2 = x^2 - (2 y)^2:
6 (x^2 - (2 y)^2)

Factor the difference of two squares. x^2 - (2 y)^2 = (x - 2 y) (x + 2 y):
Answer: 6 (x - 2 y) (x + 2 y)
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The equation of the hyperbola with center at (0, 0) opening horizontally, with a = 2, b = 5 is:
tresset_1 [31]

Answer:

\frac{x^2}{4}-\frac{y^2}{25} =1

Step-by-step explanation:

we are given

center =(0,0)

we can compare with

center=(h,k)=(0,0)

so, h=0 and k=0

a=2 and b=5

now, we can use equation of hyperbola formula

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} =1

now, we can plug values

\frac{(x-0)^2}{2^2}-\frac{(y-0)^2}{5^2} =1

we can simplify it

and we get equation of hyperbola as

\frac{x^2}{4}-\frac{y^2}{25} =1


5 0
3 years ago
A jar of butter butter estimated about 400 grams or 400 kilogram4s
Troyanec [42]
I would say its 400 grams because one kilogram is about 1,000 grams. And one gram is about the same weight of a paperclip, Unless you have a really big jar of peanut butter, i say 400 grams.
5 0
3 years ago
Read 2 more answers
Please can someone help?
alexandr402 [8]

Hey there! :)

Answer:

(5, -2), or x = 5 and y = -2.

Step-by-step explanation:

We can solve the two equations algebraically by eliminating a variable:

2x + 5y = 0

3x - 4y = 23

Eliminate the x variable by finding the least common multiple and multiplying both equations:

3(2x + 5y = 0)

2(3x - 4y = 23)

Distribute and subtract the bottom equation from the top:

6x + 15y = 0

6x - 8y = 46

------------------

0x + 23y = -46

23y = -46

y = -2.

Plug in y into an equation to solve for x:

2x + 5(-2) = 0

2x - 10 = 0

2x = 10

x = 5. Therefore:

The solution to this equation is (5, -2), or x = 5 and y = -2.

5 0
3 years ago
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Another easy question pls answer​
timama [110]
Always true, 90+90=180
6 0
2 years ago
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Brandon answered 48 out of 60 questions correctly on his test. What was Brandon's score as a percent?
Mkey [24]

Answer:

80%

Step-by-step explanation:

3 0
2 years ago
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