The total money spent for the Dinner and Dessert is $22 so to figure out how much was spent on the taxi ride you're going to want to subtract $22 from $31 (31 = x + 22) or (31 - 22 = x).

6 0

3 years ago

Create a matrix. use a graphing calculator to solve the system using the rref function.

zloy xaker [14]

Answer:

$x=-\dfrac{44}{7}$

$y=\dfrac{58}{7}$

Step-by-step explanation:

Arrange the equations so that all the variables are in columns (x as the first column, y as the second, equals a number as the third):

-11x - 4y = 36

5x + 5y = -10

Define and edit Matrix A. We need a 3 x 2 matrix. Input the coefficients and constant:

$\left[\begin{array}{ccc}-11&-4&36\\5&5&-10\end{array}\right]$

Find rref function, enter matrix A: rref([A]) (press enter)

This gives you:

$\left[\begin{array}{ccc}1&0&-\frac{44}{7}\\0&1&\frac{58}{7}\end{array}\right]$

which means:

$x=-\dfrac{44}{7}$

$y=\dfrac{58}{7}$

8 0

2 years ago

The measure of ∠DAB equals 105º. The measure of ∠ACB equals 35º.<br><br><br>What is m∠ABC?

Leni [432]

1) We know that <DAB and <BAC are supplementary angles according to the exterior angle theorem, so we set up the following equation and solve:

105+x=180

x=75

2) Since we have the angles for <BAC and <ABC and a triangle has its total angles added up to 180, we can set up an equation to find <ABC and solve:

75+35+x=180

110+x=180

x=70

So the m<ABC is 70 degrees.

Hope this helped! Let me know if you need me to clarify anything.

8 0

3 years ago

Read 2 more answers

Find the two missing numbers shown with an "*" in the equation.

SVETLANKA909090 [29]

I hope it’s helps i have to write more so I’m writing