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Alex Ar [27]
3 years ago
14

Which of the following shows the graph of a line through (–2,2) and (2,4)?

Mathematics
2 answers:
Lelechka [254]3 years ago
7 0

Answer:

The graph of the line in the attached figure

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(-2,2)\ B(2,4)

Substitute the values

m=\frac{4-2}{2+2}

m=\frac{2}{4}=0.5

The equation of the line into slope-point form is equal to

y-y1=m(x-x1)

y-4=0.5(x-2)

y=0.5x-1+4

y=0.5x+3

The slope of the line is positive m=0.5

The y-intercept is the point (0,3)

The x-intercept is the point (-6,0)

Plot the intercepts to graph the line

The graph of the line in the attached figure

Gennadij [26K]3 years ago
5 0
I cant see the numbers on the graphs very well...but it looks to be the second graph
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valkas [14]
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5 0
3 years ago
Read 2 more answers
Help me please..........
natali 33 [55]

9514 1404 393

Answer:

  C

Step-by-step explanation:

You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.

__

<em>Algebraic solution</em>

Algebraically, you can set y = -x +3, and solve for x. That gives you ...

  x = 3 -y

Using the relation given at the start:

  0 < x < 1

  0 < 3 -y < 1 . . . . . substitute for x

Adding y gives ...

  y < 3 < y+1

We can separate this into two inequalities:

  y < 3, and

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Now, we have ...

  2 < y < 3 . . . . . the location of point C

As you can see, it is much easier to use the number line directly to find the desired point.

4 0
3 years ago
Express the ratio as a fraction in simplest form. 15:45 2/3 3/9 1/3 5/16
ankoles [38]

Answer:

3/9

Step-by-step explanation:

15/45

divide both sides by a factor of each number; I'll be using 5.

3/9

It didn't have to be 5, I could have used 3, but in that case It wouldn't have been it's simplest form and I would have to divide again by another factor.

3 0
2 years ago
If you make a 25% of discount how much money do you subtract?
pantera1 [17]
Lets say u want an item that originally cost $ 50.....and u get a 25% discount....then u are actually subtracting 25% of the original price.

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0.25 * 50 = 12.50.....so u would be subtracting 12.50 from $ 50 for the discounted price which is (50 - 12.5) = 37.5

here is another example...
u want an item that costs $ 90....and it is 25% off.....so u would be subtracting (25% of 90).......u would be subtracting (0.25 * 90) = 22.50 from the original price to arrive at the discounted price.
90 - 22.50 = 67.50...the discounted price

But let me show u something....taking 25% off is the same as paying 75%..
so lets say u want an item that costs $ 60....and u get a 25% discount...this means u r actually paying 75%.....ur paying 75% of 60.
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8 0
3 years ago
Read 2 more answers
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

(c) what do you think the enteries of Ik are?

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

6 0
3 years ago
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