Since the augmented matrix of the consistent system has rank equal to three then the number of free variables is (number of unknows)-rank then there are 7-3=4 free variables. This means that are necessary four parameter to specify all solutions.

5 0

3 years ago

1. What is the value of x? Show all of your work.

Colt1911 [192]

You can use the pathagorean theorm.
$a^2 + b^2 = c^2$
$a^2 + 6^2 = \sqrt{117}^2$
$a^2 + 36 = 117$
$a^2 = 117 - 36$
$a^2 = 81$
$\sqrt{a^2} = \sqrt{81}$
$a = 9$
x = 9

5 0

3 years ago

A right triangle has a leg length of 21 inches and a hypotenuse length of 29 inches. What is the length of the other leg?

Shalnov [3]

Answer:

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

21^2 + b^2 = 29^2

441 + b^2 = 841

Subtract 441 on both sides to get b^2 = 400

Take the square root of both sides to get b = 20

4 0

3 years ago