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3 years ago

Distance formula: Does the point (2, rt sqr. 6 ) lie on the circle shown? Explain.

Mathematics

1 answer:

Zepler [3.9K]3 years ago

5 0

Answer:

Thus, the fourth answer choice is the correct one

Step-by-step explanation:

Let's check this, using the Pythagorean Theorem:

"Yes, the distance from (0, 0) to (2, square root 6 ) is 3 units."

Does 2² + (√6)² = 3²?

Does 4 + 6 = 9? NO. .

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What is three equivalent ratios for 10/12

goldfiish [28.3K]

Answer:

5:6

20:24

30:36

Step-by-step explanation:

In order to find an equivalent ratio, you have to multiply or divide your numerator and denominator by the same number.

For example:

10/12 x 3/3

30/36 = 30:36

10/12 is equivalent to 30:36

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3 years ago

Read 2 more answers

Find the vertex of the parabola y= x^2-2x-1 vertex (?,?)

SpyIntel [72]

$y=ax^2+bx+c\\\\vertex:(x_v;\ y_v)\\\\x_v=\frac{-b}{2a}\ and\ y_v=f(x_v)$

$y=x^2-2x-1\\\\a=1;\ b=-2;\ c=-1\\\\x_v=\frac{-(-2)}{2\cdot1}=\frac{2}{2}=1\\\\y_v=1^2-2\cdot1-1=1-2-1=-2\\\\Answer:(1;-2)$

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3 years ago

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A soccer team won only 10 of their first 30 games. How many of their remaining 20 games will they have to win to have a .500 rec

jeka94

Answer: 5 games

Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.

8 0

1 year ago

A red kangaroo hops at an average speed of 20km per hour. How fast is this in meters per minute?

masya89 [10]

Answer:

333.3 meters per minute

Step-by-step explanation:

The best way to solve this problem is using dimensional anaysis. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.

$\frac{20km}{1hr}$

We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.

$= \frac{20km}{1hr} *\frac{1000m}{1km} ...$

We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.

$= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}$

We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

8 0

3 years ago

Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price

soldi70 [24.7K]

Answer: 6

Step-by-step explanation:

Let x represent the number of plates bought for $6

Let y represent the Total number of plates bought = x + 1

Remember that Mrs. Lim bought another plate for $18

Total cost ÷ Total plates = Average Cost

$\dfrac{6x+18}{x+1}=8\\$

6x + 18 = 8(x + 1)

6x + 18 = 8x + 8

18 = 2x + 8

10 = 2x

5 = x

y = x + 1

= 5 + 1

= 6

5 0

3 years ago