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2 years ago

How to find where the equations meet.

Mathematics

1 answer:

zzz [600]2 years ago

3 0

The first sentence → x - 2y = -1
the second one → 3x - 2y = -3

multiply the first one by -1
you can get → -x + 2y = 1

plus two sentences together
you can get → 2x = -2

so you are able to know that x = -1
and y = 0

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If possible, find AB. & State the dimension of the result.

Nikitich [7]

Answer:

Step-by-step explanation:

$A=\begin{bmatrix}0 &0 &5 \\ 0 &0 &-3 \\ 0 &0 &3 \end{bmatrix}$

$B=\begin{bmatrix}8 &-12 &5 \\ 7 &19 &5 \\ 0 &0 &0 \end{bmatrix}$

A.B = A × B

$A.B=\begin{bmatrix}0 &0 &0 \\ 0 &0 &0 \\ 0 &0 &0 \end{bmatrix}$

Dimension of the resultant matrix is (3 × 3)

3 0

2 years ago

Simplify and express the result in power notation with positive exponent

Molodets [167]

Answer:

3²

Step-by-step explanation:

Given expression:

$\sf (3^{-3} \div 3^{-10}) \times 3^{-5}$

Following the <u>order of operations</u>, carry out the calculations inside the parentheses first.

$\textsf{Apply the quotient exponent rule} \quad a^b \div a^c=a^{b-c}:$

$\implies \sf 3^{-3-(-10)} \times 3^{-5}$

$\implies \sf 3^{-3+10} \times 3^{-5}$

$\implies \sf 3^{7} \times 3^{-5}$

$\textsf{Apply the product exponent rule} \quad a^b \times a^c=a^{b+c}:$

$\sf \implies 3^{7+(-5)}$

$\sf \implies 3^{7-5}$

$\sf \implies 3^2$

Learn more about exponent rules here:

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4 0

1 year ago

Read 2 more answers

Find the common difference of the arithmetic sequence -6,2, 10,

Yuki888 [10]

Answer:

the common ratio is +8

10 - 2 = 8

2 - (-6) = 8

8 0

2 years ago

If triangle abc is reflected across the y axis what are the coordinates of A

Ronch [10]

if you show the triangle on the graph i can figure it out, or give me the coordinates of the original triangle, can't really do it without those things

8 0

3 years ago

Read 2 more answers

Jia rode her bike 7 7/8 miles in the morning and another 6 5/8 miles in the afternoon. How many miles did she ride altogether

loris [4]

Answer:

14 1/2

Step-by-step explanation:

Rewriting our equation with parts separated

=7 + 7/8 + 6 + 5/8

Solving the whole number parts

7 + 6=13

Solving the fraction parts

7/8 + 5/8= 12/8

Reducing the fraction part, 12/8,

12/8=3/2

Simplifying the fraction part, 3/2,

3/2=1 1/2

Combining the whole and fraction parts

13 + 1 + 12=14 1/2

5 0

2 years ago