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Dovator [93]
3 years ago
11

17) List the ways five dogs a Beagle, a Collie, a Greyhound, a Poodle and a

Mathematics
1 answer:
Gnoma [55]3 years ago
4 0

Answer:

  • <u>10 pairs</u>
  • <u>It is a combination</u>

<u></u>

Explanation:

This is a combination because the order does not matter: the Beagle - Collie couple is the same as the Collie - Beagle couple, so it is only counted once.

The formula for combinations is:

           C(m,n)=\dfrac{m!}{n!\cdot (m-n)!}

For five diffferent dogs to be put in pairs, the number of different pairs is:

         C(5,2)=\dfrac{5!}{2!\cdot (5-2)!}=\dfrac{5\times 4}{2}=10

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The absolute value function, f(x) = |x + 2|, is shown.
Georgia [21]

ANSWER

all real numbers

EXPLANATION

The given absolute value function is

f(x) =  |x + 2|

This function is obtained by shifting the graph of

y =  |x|

to the left by 2 units.

Since the domain of the parent function is all real numbers, the domain of the transformed function is also all real numbers because the shifting the parent function horizontally or vertically does not affect the domain.

5 0
2 years ago
Which group has the higher mean? By how much? Round to the nearest tenth.
vampirchik [111]
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7 0
2 years ago
What is the difference between the height and the slant height of a pyramid?
monitta
The height is always measured perpendicular to the horizontal surface on which the pyramid rests, whereas the slant height is measured perpendicular to one edge of the base to the vertex, and, as we would say, appears to be slanted.

8 0
3 years ago
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José is blocking off several rooms in a hotel for guest coming to his wedding. The hotel can reserve small rooms that can hold 3
miv72 [106K]

Answer:

x=2y\,,\,3x+4y=70  where x denotes number of small rooms and y denotes number of large rooms

Step-by-step explanation:

Given: Small rooms can hold 3 people, and large rooms can hold 4 people.

Number of small rooms is twice the number of large rooms.

Small rooms and large rooms altogether can accommodate 70 guests.

To find: system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved

Solution:

Let x denotes number of small rooms and y denotes number of large rooms.

As number of small rooms is twice the number of large rooms,

x=2y

As small rooms and large rooms altogether can accommodate 70 guests such that small rooms can hold 3 people, and large rooms can hold 4 people,

3x+4y=70

4 0
2 years ago
Which postulate or theorem proves that △QRS and △TRS are congruent?
Vanyuwa [196]

Answer:

Option D is correct.

SAS Congruence Postulates

Step-by-step explanation:

In Δ QRS and Δ TRS

QS \cong ST   [Side]          [Given]

RS \cong RS   [Common Side]          [Given]

\angle RSQ \cong \angle RST = 90^{\circ}   [Angle]

SAS(Side- Angle -Side) postulates states states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Then, by SAS postulates

\triangle QRS \cong \triangle TRS

8 0
2 years ago
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