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3 years ago

Y^2 isolate 19x^2+4y^2=25

Mathematics

1 answer:

qaws [65]3 years ago

6 0

Answer:

Simplifying

x2 + -4y2 = 25

Solving

x2 + -4y2 = 25

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y2' to each side of the equation.

x2 + -4y2 + 4y2 = 25 + 4y2

Combine like terms: -4y2 + 4y2 = 0

x2 + 0 = 25 + 4y2

x2 = 25 + 4y2

Simplifying

x2 = 25 + 4y2

Reorder the terms:

-25 + x2 + -4y2 = 25 + 4y2 + -25 + -4y2

Reorder the terms:

-25 + x2 + -4y2 = 25 + -25 + 4y2 + -4y2

Combine like terms: 25 + -25 = 0

-25 + x2 + -4y2 = 0 + 4y2 + -4y2

-25 + x2 + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0

-25 + x2 + -4y2 = 0

The solution to this equation could not be determined.

Step-by-step sorry if im wrong

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A park in the shape of a right triangle is the set in the middle of 3 square rose gardens, with one garden along the side. Which

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Complete Question:

A park in the shape of a right triangle is set in the middle of 3 square rose gardens, with one garden along each side. Which statement is true about the 3 gardens?

A) The area of Garden B minus the area of Garden C is equal to the area of Garden A.

B) The area of Garden B plus the area of Garden C is equal to twice the area of Garden A.

C) The area of Garden C minus the area of Garden B equals the area of Garden A.

D) The area of Garden C minus the area of Garden A is equal to twice the area of Garden B.

Correct Answer:

The area of Garden C minus the area of Garden B equals the area of Garden A.

Thus, (C) is the correct option.

Step-by-step explanation:

According to question , a right angle triangle with right angle at R and A is perpendicular , B is base and C is hypotenuse of the triangle.

One square garden along each side of triangle.

Area of square = Side × Side

So area of each square garden is :

$A ( A) = A^2\\B ( B) = B^2\\C ( C )= C^2$

According to Pythagoras theorem,

In a right angle triangle, square of hypotenuse is equal to sum of square of the remaining two sides.

By figure,

$A^2 + B^2 = C^2$

Area of garden A + area of garden B = Area of garden C

$A^2 = C^2 -B^2$

The area of Garden C minus the area of Garden B equals the area of Garden A.

Thus, (C) is the correct option.

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Answer:

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Step-by-step explanation:

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A ramp leads up to a building. The top of the ramp is 5 feet above the ground, and the bottom is 15 feet from the building as sh

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To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2

Put in the values:
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Simplify it:
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Simplify again:
250 = c^2

Square root both sides:
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The above is the answer :)
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