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3 years ago

What is the center of the hyperbola whose equation is (y+3)^2/81 - (x-6) ^2/89= 1?

Mathematics

1 answer:

GarryVolchara [31]3 years ago

8 0

Answer:

I think its (6,-3)

Step-by-step explanation:

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Helppppppp mathhhhhhhh

aivan3 [116]

Again using the Pythagorean Theorem:

h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths. You are given that the hypotenuse is 34 ft and the base side is 16ft. Let h=34, x=16, and y=height, then you have:

34^2=16^2+y^2

y^2=34^2-16^2

y^2=1156-256

y^2=900

y=√900

y=30 ft

So the ladder will reach a spot 30 feet high on the building.

8 0

2 years ago

The prism shown has a volume of 798 cm3.

a_sh-v [17]

Answer:

10.5 cm

Step-by-step explanation:

Volume = base area × height

798 = (9.5 × 8) × height

height = 798/76

height = 10.5

4 0

3 years ago

The U.S based motorcycle manufacturer says that it expects to build 138,000 motorcycles this year, up from 128,000 last year. Fi

MrMuchimi

138,000/ 128,000 = 7.8125% Just divide new value into old value

8 0

3 years ago

Albert is five years younger than his brother bill. Write an equation that shows Albert's age with respect to Bills.

Charra [1.4K]

Answer:

A=B-5

Step-by-step explanation:

Albert is known as the variable A.

Bill is known as the variable B.

If Albert is 5 years younger than Bill. Then the equation will be

a=b-5

3 0

3 years ago

Robert went to the grocery store and purchased cans of soup and frozen dinners. each can of soup has 300 mg of sodium and each f

Paraphin [41]

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Step-by-step explanation:

Let,

Soup = x

Frozen Dinner = y

According to given statement of sodium;

300x + 500y = 5200 eqn 1

And,

x + y = 14 eqn 2

$Multiplying\ equation\ 2\ with\ 300\\300(x+y=14)\\300x+300y=4200\ Eqn 3\\$

Subtracting Eqn 3 from Eqn 1;

$(300x+500y)-(300x+300y)=5200-4200\\300x+500y-300x-300y=1000\\200y=1000\\y=\frac{1000}{200} \\y=5$

Putting value of y in Eqn 1;

$300x+500(5)=5200\\300x+2500=5200\\\\Subtracting\ 2500\ from\ both\ sides\ \\300x+2500-2500=5200-2500\\300x=2700\\x=\frac{2700}{300} \\x=9$

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Keywords: Variables, linear equations, subtraction.

Learn more about linear equations at;

#LearnwithBrainly

5 0

2 years ago