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ololo11 [35]
3 years ago
15

1 . A right triangle has side lengths 3 cm,

Mathematics
1 answer:
solniwko [45]3 years ago
6 0

Answer:

b. 6
c. 3 and 4

Step-by-step explanation:

A. you can do that, just a right triangle with side lengths 3, 4, and the hypotenuse length of 5
b. the hypotenuse goes from 5 to 30, 30 / 5 = 6 so the scale factor is 6
c. the legs of a right triangle are the 2 lines that are intersected by the hypotenuse, so if the hypotenuse is 5, the legs are 3 and 4

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Solve the system by using a matrix equation <br><br>7x-4y=4 <br><br>10x-6y=2
Andrei [34K]

Answer:

<h2>The solution to the system of equation is x = 8, y = 13</h2>

Step-by-step explanation:

The system of equation using matrix equation can be solved using crammers rule. Given the equation;

7x-4y=4

10x-6y=2

The equation will be rewritten in the format AX = B

matrix A will be 2*2 matrix

X will be a column matrix containing the variables

B will be a column matrix

\left[\begin{array}{cc}7&-4\\10&-6\\\end{array}\right] \left[\begin{array}{c}x&y\\\\\end{array}\right] = \right] \left[\begin{array}{c}4&2\\\\\end{array}\right]

first we will find the determinant of the matrix A

|A|=7(-6)-(10)(-4)\\|A|= -42+40\\|A|= -2

To get the value of x, we will substitute the column matrix at the right hand side to replace the first column pf matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.

|X|=\left[\begin{array}{cc}4&-4\\2&-6\\\end{array}\right]\\|X|= -24+8\\|X|=-16

x = |X|/|A|

x = -16/-2

x = 8

Similarly for y, we will substitute the column matrix at the right hand side to replace the second column of matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.

|Y|=\left[\begin{array}{cc}7&4\\10&2\\\end{array}\right]\\|Y|= 14-40\\|Y|=-26

y = |Y|/|A|

y = -26/-2

y = 13

The solution to the system of equation is x = 8, y = 13

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3 years ago
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