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Rudik [331]
3 years ago
13

Determine whether each ordered pair is a solution of y = 3x-5. (2,2) (4,7) (6,13) (5,10)

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

(4,7), (6,13), and (5,10)

Step-by-step explanation:

To determine if an ordered pair is a solution, substitute the coordinates in and check to see if they are true:

(2,2)

y=3x-5\\(2)\stackrel{?}{=}3(2)-5\\2\stackrel{?}{=}6-5\\2\neq1

Thus, (2,2) is not a solution.

(4,7)

y=3x-5\\(7)\stackrel{?}{=}3(4)-5\\7\stackrel{?}{=}12-5\\7\stackrel{\checkmark}{=}7

Thus, (4,7) is a solution.

(6,13)

y=3x-5\\(13)\stackrel{?}{=}3(6)-5\\13\stackrel{?}{=}18-5\\13\stackrel{\checkmark}{=}13

Thus, (6,13) is also a solution.

Lastly, (5,10)

y=3x-5\\10\stackrel{?}{=}3(5)-5\\10\stackrel{?}{=}15-5\\10\stackrel{\checkmark}{=}10

Thus, (5,10) is also a solution.

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Answer:  45 players

Step-by-step explanation:

4+3+2=9 9x9=81   9x2=18. 9x3=27 27+18=45

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24. The relative frequency of getting a HEAD when tossing a coin is ⅜. How many HEADS would you expect if the coin is tossed 400
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Clintons garden is 32.55 m long and 12.50 m wide. Write the l
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8 0
3 years ago
Find the surface area and volume of cone. A = rs + r2 V = 1/3r2 h A cone's slant height (s) is 15 cm and its radius is 8 cm. Sur
Setler [38]

Answer:

<h2>a) 483.6cm²</h2><h2>b) 850.1 cm³</h2>

Step-by-step explanation:

Given the slant height 's' and its radius 'r' to be 15cm and 8cm respectively.

the total surface of the cone A = πrs+πr² and the volume is expressed as

V = 1/3πr²h

For the surface area of the cone;

Given parameters

radius = 8 cm and slant height s = 15 cm

Total surface area A = π(8)(15) + π(8)²

A = 90π+64π

A = 154π

If π = 3.14

A = 154(3.14)

A = 483.56cm²

A = 483.6cm²

Hence the total surface area of the cone to the nearest tenth is 483.6cm²

For the volume of the cone;

V = 1/3πr²h

Using pythagoras theorem to get the height of the cone;

l² = h²+r²

h² = l²-r²

h² = 15²-8²

h² = 225-64

h² = 161

h = √161

h = 12.69cm

V = 1/3π* (8)² * 12.69

V =  1/3π* 64 * 12.69

V =  1/3*3.14* 64 * 12.69

V = 2550.1824/3

V = 850.06 cm³

V = 850.1 cm³

Hence, the volume of the cone is  850.1 cm³ to the nearest tenth.

7 0
3 years ago
Please help math 25 points
asambeis [7]

The answer is the letter C.

Check out desmos, its a great graphing calculator!!

6 0
3 years ago
Read 2 more answers
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