In the following expression, both A and B are variables that can take positive values.

Mathematics

1 answer:

Travka [436]3 years ago

5 0

Answer:

the solution is A as well as D

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3 years ago

Write the equation of the line in slope-intercept form that is parallel given the equation and point.

KiRa [710]

Answer:

$y = \frac{4x}{5}+\frac{42}{5}$

Step-by-step explanation:

In order for two lines to be parallel, they must have the same slope. So, we know that the slope of the other line is 4/5.

We're given an ordered pair, so we can solve for $b$ in the (slope-intercept form) equation $y = mx + b$

$2 = \frac{4}{5}(-8) + b\\2 = \frac{-32}{5}+b\\b = 2 + \frac{32}{5}\\ b = \frac{42}{5}$

$y = \frac{4x}{5}+\frac{42}{5}$

4 0

3 years ago

Need help asap please!

Montano1993 [528]

Answer:

determinant: -15
x = 3; y = 4; z = 1

Step-by-step explanation:

The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.

<h3>coefficient matrix, determinant</h3>

The first attachment shows the coefficient matrix and its determinant.

<h3>solution</h3>

The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.

$\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}$