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3 years ago

(25 Points) The measure of b is ______?

Mathematics

2 answers:

Eva8 [605]3 years ago

6 0

Answer:

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse (opposite the right angle)

20^2 +b^2 = 29^2

400 + b^2 =841

Subtract 400 from each side

400-400 +b^2 = 841-400

b^2 = 441

Take the square root of each side

sqrt(b^2) = sqrt(441)

b = 21

Levart [38]3 years ago

3 0

Answer:

Step-by-step explanation:

You have a right triangle, so you can use the Pythagorean theorem, where a and b are the lengths of the legs, and c is the length of the hypotenuse.

a^2 + b^2 = c^2

20^2 + b^2 = 29^2

400 + b^2 = 841

b^2 = 841 - 400

b^2 = 441

b = 21

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PLEASE HELP!!!!!

Masja [62]

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

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

2. For Vertical hyperbola:

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

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

4 0

3 years ago

Solutions of 3x+2y=4 and 6x+4y=8

Alecsey [184]

Answer:

Infinite solutions

Step-by-step explanation:

1) First, you can solve this easily by elimination. Multiply the first equation by -2 in order to cancel out terms when adding to the second equation.

2) Then, add the new set of equations together. However, everything cancels out, bringing us to 0 = 0. This means that the lines the equations make must be the same. Thus, all real numbers must make this equation true, meaning that there are infinite solutions.