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ad-work [718]
2 years ago
6

Select all the points that are on the line through (0 5) and (2 8) A.(5 11) B.(5 10) C.(6 14) D.(30 50) E.(40 60)

Mathematics
1 answer:
mihalych1998 [28]2 years ago
8 0

Answer:

Options C. and D. are correct.

Step-by-step explanation:

Let (x_1,y_1)=(0,5),\,(x_2,y_2)=(2,8)

Equation of a line is given by y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)

y-5=(\frac{8-5}{2-0})(x-0)\\\\y-5=\frac{3}{2}x\\\\2y-10=3x\\3x-2y+10=0

Put  (x,y)=(5,11)

3(5)-2(11)+10=15-22+10=3\neq 0

Put  (x,y)=(5,10)

3(5)-2(10)+10=15-20+10=5\neq 0

Put (x,y)=(6,14)

3(6)-2(14)+10=18-28+10=0

Put (x,y)=(30,50)

3(30)-2(50)+10=90-100+10=0

Put (x,y)=(40,60)

3(40)-2(60)+10=0\\120-120+10=10\neq 0

So, points (6,14),\,(30,50) satisfy the equation 3x-2y+10=0

Therefore,

points (6,14),\,(30,50) lie on the line through (0,5) and (2,8)

Options C. and D. are correct.

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Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different
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Answer:

5040 different combinations

Step-by-step explanation:

0-9 = 10 numbers

1st digit can be 1 0f 10

2nd digit can be 1 of 9

3rd digit can be 1 of 8

4th digit can be 1 of 7

10×9×8×7=5040

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3 years ago
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4y + 12 = 7 - 5y thank you :)
riadik2000 [5.3K]
Y= -5 i am pretty sure
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A. The following events are mutually exclusive: Living in California and watching American Idol. True or False b. The number of
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a) False. Because you can live in California AND watch American Idol at the same time

b) True. Because the number of patients is a whole number, like 1, 2 or 3. There is no 1.5 patient

c) False. The actual probability should become closer to the theoretical probablity

d) True

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Simplify the following expression.<br><br> 0.82 / 0.2
AlekseyPX

Answer:

0.41

Step-by-step explanation:

0.82 = 0.2 x 0.41

0.82 / 0.2

= ( 0.2 x 0.41 ) / 0.2

= 0.41

5 0
2 years ago
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If the area of a square plot of<br> land is 9 miles squared, what is<br> the perimeter of this land?
tatyana61 [14]

Answer:

\huge{ \fbox{ \sf{12 \: miles}}}

Step-by-step explanation:

Given,

Area of a square plot = 9 miles

<u>First</u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>land</u>

\boxed{ \sf{Area \: of \: a \: square \:  =  \:  {length}^{2} }}

\mapsto{ \sf{9 =  {length}^{2} }}

\mapsto{ \sf{ {length}^{2}  = 9}}

\mapsto{ \sf{ \sqrt{ {(length)}^{2} }} =  \sqrt{9} }

\mapsto{ \sf{length = 3 \: miles}}

<u>Now</u><u> </u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>perimeter</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>land</u> :

\boxed{ \sf{perimeter \: of \: a \: square = 4 \: * length}}

\mapsto{ \sf{perimeter \:  =  \: 4 \:  * \: 3}}

\mapsto{ \sf{perimeter \:  = 12 \: miles}}

The perimeter of the land = 12 miles

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

3 0
3 years ago
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