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quester [9]
2 years ago
8

What function corresponds to the ordered pairs shown in the table?

Mathematics
1 answer:
Anettt [7]2 years ago
6 0

well, we know it's a line, and to get the equation of any line all we need is two points, let's pick two from the table hmmmm say let's use (-3 , -7) and (3 , 11)

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{11}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}}\implies \cfrac{11+7}{3+3}\implies \cfrac{18}{6}\implies 3

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+7=3(x+3)\implies y+7=3x+9\implies y = 3x+2

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Evaluate the expression for x=2 and y=4.<br> (x5y?)/(x3y5)
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Answer:

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Can three line segments with the given lengths form a right triangle?
musickatia [10]

Answer:

Yes

12, 35, 37

16, 30, 34

20, 21, 29

No

18, 24, 42

Step-by-step explanation:

Required

Determine which length form a right triangle

To do this, we make use of Pythagoras theorem where the square of the largest length = the sum of the squares of the other lengths

So:

(1) 12, 35, 37 --- Yes

37^2 = 35^2 + 12^2

1369 = 1225 + 144

1369 = 1369

(2) 16, 30, 34 --- Yes

34^2 = 16^2 + 30^2

1156 = 256 + 900

1156 = 1156

(3) 18, 24, 42 --- No

42^2 =18^2 + 24^2

1764 =324 + 576

1764 =900

1764 \ne 900

(4) 20, 21, 29 -- Yes

29^2 = 20^2 + 21^2

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841= 841

3 0
2 years ago
A traveling circus with thrill rides charges $6 for admission plus $2.50 for each ride you take. If you pay $31.00 total, how ma
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Answer:

10 rides


Step-by-step explanation:

$6 is for admission (fixed), so if you paid $31 in total, $6 went to admission, so you had $31 - $6 = $25 left for the rides.


If each ride costs $2.50 and you have $25 to ride, the number of rides you took was:

\frac{25}{2.5}=10

So 10 rides


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2 years ago
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