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Answer:

the answer is d (x+4)^2/9 - (y-1)^2/25

Step-by-step explanation:

its correct on edge

The standard form of the given equation is [tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:

25x² +200x - 9y² +18y = -166

Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:

25(x² +8x) - 9 (y² +2y) = -166

Now take half the linear term in each set of parenthesis, square it, and add it to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:

25(x² +8x + 16)-9(y²+2y +1) = -166+400-9

Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we really added in. And the -9 comes from multiplying the -9 times 1.

The reason we do this is to get the perfect square binomials on the left that we created while completing the square:

25(x+4)² - 9 (y+1)²= 225

Now, finally, we will divide both sides by 225 to get this conic into the standard form:

[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.

Therefore the standard form of the given equation is[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

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Answer:

2 m

Step-by-step explanation:

8-3-3=2

Answer:

6

Step-by-step explanation:

7(6) = 42

Answer:

Option -c  :5^ -12  .  2^ 40

Step-by-step explanation:

(  5^6 . 2^8    )( 5^-2  . 2^5 )

(  5^6 . 5^-2  )   ( 2^8  . 2^5 )

5^ -12  .  2^ 40

Option -c :  5^ -12  .  2^ 40

I hope im right!!  

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

Answer:

X = 40

Step-by-step explanation:

All interior angles of a triangle equal to 180, and since we know the other two measures we can simply subract them from 180 to get the value of x

180-50-90= 40

Answer:

The answer is 40

Step-by-step explanation:

Answer:

B. There is no solution; x and y are eliminated and you get the false statement 0 = 20.

Step-by-step explanation:

According to the elimination method, the two equations are

y + 3x = 10

−y − 3x = 10

If we solve it

0 = 20

As x and y would be eliminated due to positive and negative signs

Therefore the option b is correct

Answer:

Sam spent 33 dollars on baseball gear

Step-by-step explanation:

1. he has 64 dollars

2. he is left with 31 dollars

3. 64 - 31 = 33

2. you can check by adding 31+33=64

Answer:

yessssss

Step-by-step explanation:

Answer:no it can not

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

4x-12=16

4x=28

x=7

Answer: 6√7

Step-by-step explanation:

Geometric Mean: Multiply the 2 numbers and take the square root.

6 · 42 = 252

Now take the square root:

√252

Simplify the radical (if needed):

6√7

Your geometric mean is 6√7.

Hope this helps!

Answer:

7 x 2 = 14   or even  7 x 4 / 2 = 14

Step-by-step explanation:

Answer:

It is to represent the area of the park.

Step-by-step explanation:

The length and width of the park would be inches, miles, or meters to describe the linear aspect of the park.

If the park was, for example, 2 miles long and 3 miles wide, you would say the park is 6 miles squared. This is to describe the square area of the park. Square units could be replaced by squared acres, miles, or meters depending on the size of the park. This is to represent the area of the park.

Answer:

B and C

Step-by-step explanation:

A, when x = 0, y = 5

B, when x = 4, y = 3

C, when x = 12, y = -1

D, when x = 1, y = 9/2

Answer:

27

Step-by-step explanation:

f(x) is the same as y

if x=5 then you will multiply 5 by 4 which will give you 20

20 + 7 = 27

Answer:

A person (or institution) who invest the money or makes the funds available is called the lender or creditor.

Step-by-step explanation:

Answer:where the table at coss

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

And the answer is : 4m+m=180.

Do hope you will find it helpful!

Step-by-step explanation:

Step-by-step explanation:

12 months with $60 every 3 months is $240

then add $28 "per month after that"

Answer:

D. A positively charged beryllium ion

This image represents A positively charged beryllium ion.

We have given that,

He 4 Protons e 5 Neutrons = 2 Electrons

A. A negatively charged beryllium ion

B. A neutral boron atom

C. A neutral beryllium atom

D. A positively charged beryllium ion​.

We have to determine, Based on information from the periodic table what does this image represent?

A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.

This image represents A positively charged beryllium ion.

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Answer:

89.4

Step-by-step explanation:

Okay well if  149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4

149*0.60=89.6

Answer:

It would be C

Step-by-step explanation:

I have done this before!

Answer:

251.4cm² is the area of the cone-shaped vase.