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2 years ago

Find the midpoint of AB: A(3,-8) B(-15,-8)

Mathematics

2 answers:

Stels [109]2 years ago

5 0

Answer:

(-6, -8)

Step-by-step explanation:

Pavlova-9 [17]2 years ago

3 0

Answer:

C (-6,-8)

good luck buddie

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A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3

Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = $nPk=\frac{n!}{(n-k)!}$

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts = $5P4+4P2+8P3$

$=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468$

So, this can be done in 468 ways.

7 0

2 years ago

What is the radius of circle c

Oxana [17]

Answer:

radius = 13

Step-by-step explanation:

Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.

First let's find the shorter leg.

Equidistant Chords Theorem

Two chords are congruent if they are equidistant from the center.

Chords in the picture are congruent and that means that the distance from the center to each of them is the same!

Let's calculate the distance. But to get the distance we have to find x first.

Since the distances are the same:

$x + 3 = 2x + 1\\2 = x$

Therefore:

$\text{distance (short leg)} = 2x + 1 = 2\cdot2 + 1 = 5$

Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.

Therefore:

$\text{long leg} = \frac{\text{chord}}{2} = \frac{24}{2} = 12$

All that is left is the Pythagorean Theorem in the right triangle.

Pythagorean Theorem

$\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2$

Hypotenuse in our case is the radius.

$\text{radius}^2 = 5^2 + 12^2\\\text{radius}^2 = 25 + 144\\\text{radius}^2 = 169\\\text{radius} = 13$

7 0

1 year ago

Solve the equation below for x and check your solution. 4x+3=x

Afina-wow [57]

Answer:

x= -1

Step-by-step explanation:

4x+3=x

we subtract x to both sides of the equation:

4x -x +3 = x-x

we have:

3x +3 = 0

we subtract 3 to both sides of the equation:

3x +3 -3 = -3

3x = -3

we divide by 3 both sides of the equation

3x/3 = -3/3

x= -1

we test the result in the original equation:

4x+3=x

4*(-1) + 3 = -1

-4 +3 = -1

-1 = -1

so finally x= -1

3 0

2 years ago

How do you know whether distance or displacement is greater?

34kurt

Displacement is always less than or equal to the distance traveled, so it cannot be greater than the distance. if they are the same direction, then their magnitude will be equal, however, if they have different directions then displacement will be less than the distance.

5 0

2 years ago

The greatest amount of sap collected from any one tree is

Serga [27]

Answer:

80 cups of water in 5 gallons.

Step-by-step explanation:

HOPE THIS HELPS! :D

8 0

2 years ago

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