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azamat
3 years ago
13

Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon. How old is Michael now?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0
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Make an approximate conversion from English to metric. <br><br> 9 ft to meters
Anna71 [15]

Answer:

2.7 meters

Step-by-step explanation:

I hope this helped

4 0
3 years ago
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 isosceles triangle has (5 points) A, at least two congruent sides B. two sides that are perpendicular C. three sides with the
aev [14]

Answer:

A. at least two congruent sides

Step-by-step explanation:

Since, we know that,

'An isosceles triangle is a triangle having two sides of equal length or at least two sides of equal length (special case is equilateral triangle)'.

Thus, from the options, we see that,

Options B, C and D are not correct.

<em>Since, congruent sides means that the lengths of the sides are equal.</em>

Thus, we get that,

'An isosceles triangle has at least two congruent sides'.

Hence, option A is correct.

4 0
3 years ago
Read 2 more answers
Pencil cores are glued between slabs of cedar to make a pencil sand which. A total of 52,500 pencil sandwiches are made over 5 d
raketka [301]

Answer:

10,500

Step-by-step explanation:

You must divide 52,500 by 5.

5 goes into the 5 in 52,500 one time. 5-5 is 0. 5 doesn't go into 2 so put a 0. 5 goes into 25 five times. 25-25 is 0. 5 goes into 5 one time. subtract and add the zeros at end. And you get 10,500

8 0
3 years ago
Write a rational function that meets the following criteria:
Sliva [168]
You can get a vertical asymptote at x=1 using y = 1/(x-1)
You can generate a hole at x=3 by multiplying by (x - 3/(x - 3) which is undefined at x=3 but otherwise equals 1
You can move the horizontal asymptote up to y=2 by adding 2

y = (x - 3)/((x - 1)(x - 3)) + 2
5 0
3 years ago
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