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3 years ago

Q1 (b) Factorise x2 – 36 (1 mark)

Mathematics

1 answer:

loris [4]3 years ago

4 0

Answer:

(x+6)(x-6)

Step-by-step explanation:

Given: x²-36

Difference of Squares Formula: x²-a²=(x+a)(x-a)

Since 6²=36: x²-6²=(x+6)(x-6)

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Solve the system of equations using matrices. Use the Gauss- Jordan elimination method And find a solution set

KATRIN_1 [288]

$\begin{gathered} x+y+z=4 \\ x-y-z=0 \\ x-y+z=8 \\ \text{The system using matrix is} \\ \begin{bmatrix}{1} & {1} & {1}, & {4} \\ {1} & {-1} & {-1,} & {0} \\ {1} & {-1} & {1,} & {8}{}{}\end{bmatrix}\rightarrow F2=F2-F1=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {-2} & {-2,} & {-4} \\ {1} & {-1} & {1,} & {8}{}{}\end{bmatrix} \\ \rightarrow F3=F3-F1=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {-2} & {-2,} & {-4} \\ {0} & {-2} & {0,} & {4}{}{}\end{bmatrix}\rightarrow F2=-\frac{1}{2}F2 \\ =\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {1,} & {2} \\ {0} & {-2} & {0,} & {4}{}{}\end{bmatrix}\rightarrow F3=F3+2F2=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {1,} & {2} \\ {0} & {0} & {2,} & {8}{}{}\end{bmatrix}\rightarrow F3=\frac{1}{2}F3 \\ =\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {1,} & {2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix}\rightarrow F2=F2-F3=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {0,} & {-2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix} \\ \rightarrow F1=F1-F3=\begin{bmatrix}{1} & {1} & {0}, & {0} \\ {0} & {1} & {0,} & {-2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix}\rightarrow F1=F1-F2 \\ =\begin{bmatrix}{1} & {0} & {0}, & {2} \\ {0} & {1} & {0,} & {-2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix} \\ \text{Therefore, the solution is }x=2,\text{ y=-2 and z=4} \end{gathered}$

6 0

1 year ago

There are 15 hats on a rack and 9 of them are orange What percentage of the hats are NOT orange?

dmitriy555 [2]

Answer:

40%

Step-by-step explanation:

15-9=6

6/15=2/5=40/100=40%

4 0

3 years ago

Read 2 more answers

Ms rodriguez planted 24 tulips in her flowerbed. of the tulips 1/3 are red how many tulips are red

xeze [42]

You would do 1/3 * 24

Which would give you 8

So 8 are red

4 0

3 years ago

Read 2 more answers

Answer quick find the coordinates

Mekhanik [1.2K]

Answer:

(-4, -3), (4, -1), (8, 0), (12, 1)

Step-by-step explanation:

The x- and corresponding y-values are listed in the table. Put each pair in parentheses, x-value first. (That is an ordered pair.)

(x, y) = (-4, -3) . . . . from the first table entry

(x, y) = (4, -1) . . . . from the second table entry

(x, y) = (8, 0) . . . . from the third table entry

(x, y) = (12, 1) . . . . from the last table entry

3 0

4 years ago

Step 1: (3x + 12y) + (10x - 5y)

Reptile [31]

Answer:

What is your question. Correct steps? If it is, then you did the steps correctly.

6 0

4 years ago