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viva [34]
2 years ago
7

Find the diameter and the radius of the circle 13yd

Mathematics
1 answer:
Reil [10]2 years ago
6 0

Answer:

52

Step-by-step explanation:

This is because the formula is dr

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Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2
evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}

Step # 1 : Swap the first and second matrix rows,

\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}

Step # 2 : Cancel leading coefficient in row 2 through R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1,

\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0
3 years ago
An item is priced at $13.24. If the sales tax is 5%, what does the item cost including sales tax?
cestrela7 [59]
B would be correct cause 5 percent would be .66
8 0
3 years ago
Read 2 more answers
What is the percentage change for 60 to 35
Reil [10]
Let x represent the percentage change. The percentage change is a factor that the original number is multiplied to get the new number.

60*x = 35
x = 35/65 = 0.53846 = 53.846%
3 0
3 years ago
Which of the following values of m will result in a true statement when substituted into the given equation?
Solnce55 [7]

Answer:

C. m = 4.1 is the answer

6 0
3 years ago
Solve the inequality x+2 1/2 &gt;-1/2.graph the solution set on a number line. Show your work.
Ainat [17]

Answer:

x > -11

Step-by-step explanation:

The way fractions type on here are weird, so i typed it on a different website i think this is right though.

4 0
2 years ago
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