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Katyanochek1 [597]
3 years ago
8

Line m passes through the points (2, -7) and (4, -9) line m is parallel to which line

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

Answer:

The Answer is: The slope is -1, so any line with the same slope is parallel.

Step-by-step explanation:

Given points (2, -7) and (4, -9) find the slope, m:

m = y - y1 / (x - x1)

m = -7 - (-9)/(2 - 4)

m = -7 + 9/-2

m = 2/-2

m = -1

A parallel line is any line with the same slope which is -1.

Hope this helps! Have an Awesome day!!  :-)

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Step-by-step explanation:

cos2x=sin(90o−2x)=sin(2x−30o)

Which mean 90o−2x=2x−30o+n360o

or 90o−2x+2x−30o=(2n+1)180o

The later cannot be true.

so x=30o+n90on∈Z

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3 years ago
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3 years ago
Find all possible values of k so that x^2 + kx - 32 can be factored.
daser333 [38]

Answer:

Step-by-step explanation:

The posssible factors are

x^2 + 4x - 32

(x+8)(x-4)

x^2+ 14x - 32

(x+16)(x-2)

(x+32)(x-1)

x^2+31x-32

8 0
3 years ago
If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation i
steposvetlana [31]

Using prime notation, the new coordinates after translation are;

<em>New coordinates;</em>

A': (-1, 1)

B': (-1, -2)  

C': (3, -2)

D': (3, 2)

  • From the attached image, we can see that the coordinates are;

A(-6, 5)

B(-6, 2)

C(-2, 2)

D(-2, 6)

  • Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
  • In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.

  • Applying these translation numbers to our coordinates, we will now have;

        A(-6 + 5, 5 - 4)

        B(-6 + 5, 2 - 4)

        C(-2 + 5, 2 - 4)

        D(-2 + 5, 6 - 4)

Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)  

C: (3, -2)

D: (3, 2)

Read more at; brainly.com/question/4726090

7 0
1 year ago
Question: "If y &gt; 3, what is the value of n ?"
iris [78.8K]

Answer:

y-3

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What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?

Step-by-step explanation:

Dividend=quotient×divisor+remainder

So we have

xy-3=(x-1)×(y)+remainder

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Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.

We need to get rid of minus y so we need plus y in the remainder.

We also need minus 3 in the remainder.

So the remainder is y-3.

Let's try it out:

xy-3=(xy-y)+remainder

xy-3=(xy-y)+(y-3)

xy-3=xy-3 is what we wanted so we are done here.

7 0
2 years ago
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