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Explain how to use the coordinates and absolute value to find the distance between points at (3, –7) and (3, 2).

ser-zykov [4K]

Answer:

Using the formula for the distance between two points, which is generated using coordinates and absolute value, we find that the distance between these two points is of 9 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

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

This formula is generated using coordinates and absolute value.

In this question:

(3,-7) and (3,2). So

$D = \sqrt{(3-3)^2+(2-(7))^2} = \sqrt{81} = 9$

The distance between these two points is of 9 units.

4 0

3 years ago

You have a bag full of apples. There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the

vredina [299]

Answer:

Step-by-step explanation:

There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.

a) Select 3 apples with replacement. Find the probability that all there are green.

Given that we are taking all apples with replacement, the probability of getting a green apples remains the same in all 3 trials. Therefore the probability here is computed as:

= (Number of green apples/Total apples)

= (4/17)^3

= 0.0130

Therefore 0.0130 is the required probability here.

b) Select 3 apples with replacement. Find the probability that none are red

Probability that none are red is computed here as:

= (Number of non red apples/Total apples)

= (9/17)^3

= 0.14838

Therefore 0.14838 is the required probability here

c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples

Probability that we get at least 2 red apples when 4 apples are drawn is computed here as:

= 1 - (Probability that no red apple is taken out when 4 apples are taken out + Probability that 1 red apple is taken out when 4 apples are taken out)

= 1 - 8C0 x 9C4 + 8C1 x 9C3 / 17C4

= 1 - 0.3353

= 0.6647

Therefore 0.6647 is the required probability here

d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.

Given that the first apple is red, we are left with 16 apples out of which 5 are yellow. Therefore the required probability here is computed as:

= 5/16

= 0.3125

Therefore 0.3125 is the required probability here

3 0

3 years ago

A recipe calls for 2 3/4 cups of milk. How many cups of milk, written as a fraction greater than one, are used in the recipe?

ivann1987 [24]

11/4 the recipe calls for a total of 11/4 cups of milk

8 0

3 years ago

Read 2 more answers

1. A drawing of a triangular park shows that the sides measure 12 m, 30 m, and 18 m. Can these dimensions be correct?

Varvara68 [4.7K]

Answer: 1. It is not possible to construct a triangle of given measure sides.

2. The value of ∠A is 44°

Step-by-step explanation:

1.

Given: Three sides of a triangle

Let a= 12 m , b=30 m and c= 18 m

Now as we know

The sum of two sides of a triangle is always greater than the third side

Therefore we need to show

a+b>c -----(i)

b+c>a -----(ii)

c+a>b -----(iii)

(i a+b= 12+30 = 42>18= b ⇒ a+b>c

ii) b+c=30+18= 48 >12=a ⇒ b+c>a

iii) c+a=18+12=30=b ⇒ c+a= b

Therefore the third condition does not verified

Hence, it is not possible to construct a triangle of given measure sides.

2.

As we now triangle sum property which states that the sum of all the three angles of a triangle is 180°

So we have

$x+59+84+x+51=180\\\\\Rightarrow 194 +2x=180\\\\\Rightarrow 2x= 180-194\\\\\Rightarrow 2x=-14\\\\\Rightarrow x= -7$

Therefore

$\angle A = x+51= -7+51= 44^\circ$

Hence, the value of ∠A is 44°

6 0

3 years ago

There are 5 girls and 1 boy taking swimming lessons. The ratio that compares the number of girls taking

Sergio [31]

Answer:

5:6

five of the 6 students are girls

5/6

Step-by-step explanation:

Not sure if these are the three different ways you wanted, but all of these represent the number of girls compared to the total number of students.

5 0

3 years ago