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3 years ago

Write an equation in point slope form that passes through (-14, - 6) and the slope is 2/3

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

8 0

Answer:

y=2/3x - 6

Step-by-step explanation:

use the formula y=mx+b. the m of this equation is equal to the slope and you know that the slope is 2/3. the b of the equation is equal to the y-intercept so, to find b you simply look at the points given. the points are written in (x,y) form so if -14 is x, -6 must be y. remember to KEEP CHANGE CHANGE your signs so that plus sign becomes negative 6. Hope this helps!

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Solve the system by graphing: y=-3x-3 and y=2x+2. Make sure you write your answer as an ordered pair: (x,y)

Rainbow [258]

Answer: (5, 12)

Step-by-step explanation:

Just graph the linear equations and find where they intersect.

Algebraically, you can set them equal to each other

-3x-3=2x+2

-x-3=2

-x=5

x=5

Plug x=5 to any equation

y=2(5)+2

y=12

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3 years ago

The notation Ak meas the matrix A Multiplied with itself k times (a) For the 2×2 identity matrix I, show that I2 =I (b)For the n

djverab [1.8K]

Answer:

Entries of I^k are are also identity elements.

Step-by-step explanation:

a) For the 2×2 identity matrix I, show that I² =I

$I^{2}=\left[\begin{array}{cc}1&0\\0&1\end{array}\right] \times \left[\begin{array}{cc}1&0\\0&1\end{array}\right] \\\\=\left[\begin{array}{cc}1\times 1+0\times 0&1\times 0+0\times 1\\0\times 1+1\times 0&0\times 0+1\times1\end{array}\right] \\\\=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

Hence proved I² =I

b) For the n×n identity matrix I, show that I² =I

n×n identity matrix is as shown in figure

Elements of identity matrix are

$\delta I_{ij}=1\quad if\quad i=j\\\delta I_{ij}=0\quad if\quad i\ne j\\$

As square of 1 is equal to 1 so for n×n identity matrix I, I² =I

As mentioned above

$\delta I_{ij}=1\quad if\quad i=j\\\delta I_{ij}=0\quad if\quad i\ne j\\$

Any power of 1 is equal to 1 so kth power of 1 is also 1. According to this Ik=I

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2 years ago

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3 years ago

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ki77a [65]

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3 years ago

Read 2 more answers

Write the equation of a line that is parallel to the y axis and passes through the point (-2,5).

dybincka [34]

Answer:

x = -2

Step-by-step explanation:

If it’s parallel to the y-axis, it must be an x value that is straight up and down. The x coordinate here is -2 so the line must be vertical from -2 on the x-axis.

3 0

2 years ago