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Whitepunk [10]
3 years ago
13

PLEASE HELP SHOW YOUR WORKING OUT Branliest

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0

Answer:

The equation of this line is therefore    y = 2x + 3.

Step-by-step explanation:

this line passes thru the points (0, 3) and (3, 9).  As we move from  (0, 3) to (3, 9), x increases by 3 and y increases by 6.  Thus, the slope of this line is

m = rise / run = 6/3, or m = 2.  Inserting the known info (m = 2, x = 0, y = 3) into y = mx + b, we get:  3 = 2(0) + b, so we see that b = 3.

The equation of this line is therefore    y = 2x + 3.

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7 0
3 years ago
If RV = x+6, US = 5x-9, and RS = 11, find VT and ST
masha68 [24]

The values of VT and ST for the given rectangle are 13 and 23.56 respectively.

The given parameters:

  • <em>RV = x + 6</em>
  • <em>US = 5x - 9</em>
  • <em>RS = 11</em>

The value of VT and ST is calculated as follows;

<em>from the given </em><em>diagram </em><em>we can conclude the following;</em>

2RV = RT = US

2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7

RT = 2RV = 2VT = 2(7 + 6) = 26

VT = ¹/₂ x 26

VT = 13

The value of ST can be determined from Pythagoras theorem as follows;

ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56

Learn more about Pythagoras theorem here:  brainly.com/question/12306722

6 0
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