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VMariaS [17]
3 years ago
11

Write the common rule to describe the translation using coordinate notation.

Mathematics
1 answer:
UNO [17]3 years ago
4 0

The common rule is (x - 1, y + 3) can be used to describe the translation.

Step-by-step explanation:

Step 1:

The point J (-3, -4) becomes J^{1} (-4, -1).

In order to write the rule for translation from J to J^{1}, we subtract the x coordinate of J from J^{1} and subtract the y coordinate of J from J^{1}.

The x coordinate = -4-(-3) = -4+3 = -1.

The y coordinate = -1-(-4) = -1+4 = 3.

Step 2:

So from the calculations, we get that the x coordinate is subtracted by 1 i.e. x-1 and the y coordinate is increased by 3 i.e. y+3.

So the common rule is (x - 1, y + 3).

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15. A rectangle has a length of 2x - 1 and a width of 3x + 7. Find the perimeter of this rectangle.
andrew11 [14]

Answer:

10x + 12 and 6x² + 11x - 7

Step-by-step explanation:

The perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is length and w is width )

   = 2(2x - 1) + 2(3x + 7) ← distribute parenthesis

    = 4x - 2 + 6x + 14 ← collect like terms

     = 10x + 12

--------------------------------------------------

The area (A) of a rectangle is calculated as

A = lw

   = (2x - 1)(3x + 7) ← expand using FOIL

    = 6x² + 14x - 3x - 7 ← collect like terms

    = 6x² + 11x - 7

7 0
2 years ago
Pleaseee helppp with thissss asapppp
Natasha2012 [34]

As we know that the standard equation of circle is {\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}} , where <em>r</em> is the radius of circle and centre at <em>(h,k) </em>

Now , as the circle passes through <em>(2,9)</em> so it must satisfy the above equation after putting the values of <em>h</em> and <em>k</em> respectively

{:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}

{:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}

{:\implies \quad \sf 9+16=r^{2}}

After raising ½ power to both sides , we will get <em>r = +5 , -5</em> , but as radius can never be -<em>ve</em> . So <em>r = +</em><em>5</em><em> </em>

Now , putting values in our standard equation ;

{:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}

{:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}

<em>This is the required equation of </em><em>Circle</em>

Refer to the attachment as well !

8 0
2 years ago
Please answer this question now
vichka [17]

Answer:

320 sq in

Step-by-step explanation:

4(1/2*8*16) + (8*8)

= 4(64) + (64)

= 5(64)

= 320

6 0
3 years ago
PLZ ANSWER.Choose the correct description of the graph of the inequality x − 3 less than or equal to 5.
musickatia [10]
Tha answer is b...........
3 0
2 years ago
Read 2 more answers
Noah says 4/9 is equivalent to 20/45. Check his work by completing the table of equivalent ratios.
g100num [7]
Noah is correct!!!! 20/45 simplified is 4/9. hope this helps!
7 0
2 years ago
Read 2 more answers
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