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2 years ago

What is the distance between the points (-3, -4) and (5, 2)?

Mathematics

1 answer:

alexandr1967 [171]2 years ago

6 0

Using the picture:

Between (-3, -4) and (5, -4) is:
The difference is in the x units: 5 - (-3) = 5 + 3 = 8

Between (5, 2) and (5, -4) is:
The difference is in the y units: 2 - (-4) = 2 + 4 = 6

We know the shape is a right angled triangle:

By applying Pythagoras' Theorem:

let the hypotenuse be x:

x² = 6² + 8²

x² = 36 + 64

x² = 100

Take square root of both sides

√x² = √100

x = 10

Distance between the 2 points = 10 units.

Option D.

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You are designing an amusement park ride with cars that will spin in a circle around a center axis, and the cars are located at

Andrei [34K]

Answer:

144 people.

Step-by-step explanation:

Let n be the vertices, where cars are located.

We have been given that the sum of the measures of the angles' vertices is 6120°.

Let us find the number of vertices using formula:

$\text{Sum of all interior angles of a polygon with n sides}=180(n-2)$ .

Upon substituting the given sum of the measures of the angles in this formula we will get,

$6120=180(n-2)$

Using distributive property $a(b+c)=a*b+a*c$ we will get,

$6120=180n-360$

Adding 360 to both sides of our equation we will get,

$6120+360=180n-360+360$

$6480=180n$

Upon dividing both sides of our equation by 180 we will get,

$\frac{6480}{180}=\frac{180n}{180}$

$36=n$

As the cars are located on the vertices of regular polygon, so there will be 36 cars in the ride.

We are told that each car holds a maximum of 4 people, so the number of maximum people who can ride at one time will be equal to 4 times 36.

$\text{Maximum number of people who can be on the ride at one time}=4\times 36$

$\text{Maximum number of people who can be on the ride at one time}=144$

Therefore, the maximum number of people who can be on the ride at one time is 144 people.

5 0

3 years ago

If the graph of a quadratic function opens down, the function has a minimum value. true or false?

DanielleElmas [232]

This is a false statement

5 0

2 years ago

What is the answer to this ?

Rudik [331]

Answer:

the answer is 180

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can one please help me with this question

Nostrana [21]

Answer:

254.34 cm^2

Step-by-step explanation:

Volume of cylinder = $\pi r^{2} h$

We know that the diameter is 6, which means that the radius is 3 cm.

Now, it also tell us that that the height is triple the radius, this means that we multiply it by 3. Therefore, the height is 9 cm.

Now we know r = 3 cm and h = 9 cm, pi is assumed to 3.14 as well.

Substituting into the formula we will end up with 254.34 cm^2.

8 0

3 years ago

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Abigail is 8 years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia. How old is each now?

irina [24]

A - age of Abigail
C - age of Cynthia

A = C + 8

A - 20 = 3 (C - 20)

A - 20 = 3C - 60

C + 8 - 20 = 3C - 60

C - 12 = 3C - 60 A = C + 8

2C = 48 A = 24 + 8

C = 24 years A = 32 years

5 0

3 years ago

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