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levacccp [35]
3 years ago
11

What is the value of u?

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0

Answer:

4\sqrt{2

Step-by-step explanation:

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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
Y ≤ -2x + 4. What points satisfy the inequality?
MrRissso [65]
​Subtract 4 from both sides
y−4≤−2x

 Divide both sides by −2
-  y-4/2  ≥ x

 Switch sides
<span>x  ≤  −   y−4/2<span><span><span><span><span>​​</span></span></span>​​





HOPE THIS HELPS!!
</span></span></span>
6 0
3 years ago
What is the simplified form of the quantity y−squared minus y minus 12 over the quantity y−squared minus 2y minus 15?
makvit [3.9K]
(y^2-y-12)/(y^2-2y-15)  factor both the numerator and denominator...

(y^2-4y+3y-12)/(y^2-5y+3y-15)

(y(y-4)+3(y-4))/(y(y-5)+3(y-5))

((y-4)(y+3))/((y-5)(y+3))  so the (y+3) terms cancel leaving

(y-4)/(y-5)

6 0
2 years ago
A population numbers 508 organisms initially and increases by 6.2% each year.
IceJOKER [234]

To find the population after t number of years, multiply the starting population by 1 plus the percent increase raised to the number of years.

The equation would be: P = 508(1.062)^t

5 0
3 years ago
(5 + 8x 4- 6x 2 ) + (x 4- x 2- 7) simplified
Arte-miy333 [17]

Answer: 22x−2

Go to www.mathpapa.com algebra calcut

6 0
3 years ago
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