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den301095 [7]
3 years ago
12

Find the distance between the two points. Round to the nearest tenth if necessary. (6, 11), (0, 3) a. 10 b. 14 c. 15 d. 100

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0

Answer: option a

Step-by-step explanation:

You must apply the formula for calculate the distance between the two points. which is shown below:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Therefore, keeping on mind that the points given in the problem are (6, 11), (0, 3), when you substitute values into the formula shown above, you obtain that the distance between these two points is the following:

d=\sqrt{(0-6)^2+(3-11)^2}\\d=10

allsm [11]3 years ago
3 0

Answer:

a. 10

Step-by-step explanation:

We have been given two points (6, 11) and  (0, 3). Now we need to find the distance between points (6, 11) and  (0, 3) and check which of the following choices are correct:

(6, 11), (0, 3) a. 10 b. 14 c. 15 d. 100

Also we should round to the nearest tenth if necessary.

Apply distance formula :

distance =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

distance =\sqrt{\left(0-6\right)^2+\left(3-11\right)^2}

distance =\sqrt{\left(-6\right)^2+\left(-8\right)^2}

distance =\sqrt{36+64}

distance =\sqrt{100}

distance =10

Hence correct choice is a. 10

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Hey there!

GUIDE

• The word “sum” means add

• The word “difference” means subtract

• The word “product” means multiply

• The word “quotient” means divide

• The word “is” means equal to

• The “unknown number” is a variable that is not known. So people usually label it as a variable until they figure out what the unknown value is.

Now that we have that information out the way we can solve for your given question.

“The [DIFFERENCE] between [a number] & 16 [is] 49

Lets break it down

• DIFFERENCE (between) = subtract☑️

• A NUMBER = UNKNOWN (so we will label it is as “n”]☑️

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• IS = is equal to☑️

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2 years ago
A bag contains 4 white,5 blacks and 2 blue balls. 3 balls are drawn one after the other without replacement from the bag .what i
Doss [256]

Answer:

24/99

Step-by-step explanation:

From the question given above, the following data were obtained:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

Probability that they are of different color =?

Next, we shall determine the total number of balls in the bag. This can be obtained as follow:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 4 + 5 + 2 = 11 balls

Next, we shall determine the possible outcome of draw. This can be obtained as follow.

The possible outcome could be:

WBLB or WBBL or BBLW or BWBL or BLBW or BLWB

Next we shall determine the probability of each of outcomes.

Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 11

P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990

P(WBLB) = 4/99

P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990

P(WBBL) = 4/99

P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990

P(BBLW) = 4/99

P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990

P(BWBL) = 4/99

P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990

P(BLBW) = 4/99

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P(BLWB) = 4/99

Finally, we shall determine the probability that they are of different color. This can be obtained as follow:

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Probability that they are of different color =?

Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)

= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99

= (4 + 4 + 4 + 4 + 4 + 4)/99

= 24/99

Thus, the probability that they are of different color is 24/99

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