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alekssr [168]
3 years ago
14

Use the Associative Property of Addition to write an expression equivalent to r+ (h+t). r+ (h+t) = Enter your answer in the answ

er box. Save for Later
Mathematics
1 answer:
svlad2 [7]3 years ago
4 0

Answer:

Associative propertry of addition.

Step-by-step explanation:

The associative property of addition states that:

a+(b+c) = (a+b)+c

It states that we can add numbers regardless of the groups. The sum does not change  irrespective of how the addends are grouped.

We are given the expression:

r + (h + t)

It can be written as:

(r+h) + t

It can also be written as:

r + (h+t) = (r+t) + h = (h+t)+r = h + (t+r)

Whatever maybe the arrangement of r, h and t, their sum will always be equal. We can regroup them in many ways but the sum remains the same.

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Can you please help me solve questions 1 and 2
Katyanochek1 [597]

Answer:

see explanation

Step-by-step explanation:

(1)

Given the perimeter then the third side is the perimeter subtract the sum of the 2 given sides, that is

third side

= 4x + 3y - (x - y + x + y)

= 4x + 3y - 2x ← collect like terms

= 2x + 3y

(2)

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

Here b = 2x + 6 and h = x - 2, thus

A = \frac{1}{2}(2x + 6)(x - 2) ← expand factors using FOIL

   = \frac{1}{2}(2x² + 2x - 12) ← distribute

   = x² + x - 6 ← in standard form

7 0
3 years ago
Given that y varies inversely with x, if y=-5 when x=-6, find x when y=-2.5.
Dmitry_Shevchenko [17]

15

Explanation:

If y varies inversely as x, the two variables can be represented in an equation in the form

y

=

k

x

where

k

is some constant.

We are given that

y

=

5

when

x

=

6

. We can plug this into the above equation to find what

k

is:

5

=

k

6

30

=

k

Based on this we can create our equation:

y

=

30

x

And then find

x

when

y

=

2

:

2

=

30

x

2

x

=

30

x

=

15

5 0
2 years ago
Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable , whose possible values
Naddika [18.5K]

For a probability distribution to be represented, it is needed that P(X = 0) + P(X = 1) = 0.44. Hence one possible example is:

  • P(X = 0) = 0.40.
  • P(X = 1) = 0.04.

<h3>What is needed for a discrete random variable to represent a probability distribution?</h3>

The sum of all the probabilities must be of 1, hence:

P(X = 0) + P(X = 1) + P(X = 3) + P(X = 4) + P(X = 5) = 1.

Then, considering the table:

P(X = 0) + P(X = 1) + 0.15 + 0.17 + 0.24 = 1

P(X = 0) + P(X = 1) + 0.56 = 1

P(X = 0) + P(X = 1) = 0.44.

Hence one possible example is:

  • P(X = 0) = 0.40.
  • P(X = 1) = 0.04.

More can be learned about probability distributions at brainly.com/question/24802582

#SPJ1

6 0
1 year ago
Find all real solutions of the equation. (if there is no real solution, enter no real solution.) 8x2 + 6x − 9 = 0
Arturiano [62]
Hey there !

Check the attachment.
Hope it helps you :)

5 0
3 years ago
Which of the following triangles have three sides of different length? A. acute B. scalene C.equilateral D. right​
katen-ka-za [31]

Answer:

scalene

hope this helps

have a good day :)

Step-by-step explanation:

4 0
3 years ago
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