The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?

Answers

Answer 1
Answer:

Answer:

ANSWER

x =  { - 20}{7}

y={ 4}{7}

Step-by-step explanation:

Answer 2
Answer:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:


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Given log 2 = 0.3010, log 3 = 0.4771. Find the value of a) log 12 b) log 5.

Answers

a) log 12 
= log3*4
= log3 + log4
=log3 + log 2^2
=log3 + 2log2
= 0.4771 +2*0.3010
=1.0791

b) log5
= log10/2
= log10 - log2
=1 - 0.3110
= 0.6989
a)\ \ \ log12=log(4\cdot3)=log4+log3=log2^2+log3=2log2+log3\approx\n\n\approx2\cdot0.3010+0.4771=0.602+0.4771=1.0791\n\n2)\ \ \ log5=log (10)/(2) =log10-log2\approx1-0.3010=0.699

What is the answer to this equation? 2x+2x+2=4x+2

Answers

Answer:

0

Step-by-step explanation:

You start off with 2x + 2x + 2 = 4x + 2.

You would then add like terms, as shown below.

4x + 2 = 4x + 2

Now, you would subtract 4x from both sides, and that would leave you with:

2 = 2

You would now subtract 2 from both sides, which would now leave you with 0.

Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?The range contains only natural numbers.

The domain contains only natural numbers
.
Exponential bases must be whole numbers.

Initial values must be whole numbers.

Answers

The correct answer is:


The domain contains only natural numbers .


Explanation:


The domain of a geometric sequence is the set of term numbers. This is the position of each term in the sequence: first, second, third, etc.


Since the domain is the set of positions, there are no decimal or fraction numbers in the domain. There would be no "2 and a half" term; it goes from the second to third.


This means that the values between the terms of the sequence have no value, and the graph will not be connected.

Answer: B.

(The domain contains only natural numbers.)

Step-by-step explanation:

Partition the model to prove that the following number sentence is true 2/5 + 4/10

Answers

Final answer:

In order to prove the sentence 2/5 + 4/10, a partitioned model could be used. Here, 2/5 equates to 4 out of 10 parts and 4/10 equates to 4 out of 10 parts. Adding these provides a total of 8 out of 10 parts, thereby proving the sentence is true.

Explanation:

To prove the number sentence 2/5 + 4/10 is true using a partitioned model, you need to start by understanding that fraction addition involves just combining the fractions. If you partitioned a model into 10 equal parts representing 1 whole, 2/5 would be 4 parts and 4/10 would be 4 parts. Adding these together 4parts (being 2/5) + 4parts (being 4/10) makes 8 parts. Since 1 whole is made up of 10 parts, 8 parts equate to 8/10 or 0.8. Therefore, 2/5 + 4/10 = 0.8 or 8/10 validating the sentence as true.

Learn more about Fraction Addition here:

brainly.com/question/34291287

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A catering service offers appetizers, main courses, and desserts. A banquet chairperson is to select appetizers, main courses, and desserts for a banquet. In how many ways can this be done?

Answers

(Number of appetizers) x (number of main courses) x (number of desserts)

He sum of two numbers is 46 and the difference is 2 . What are the numbers?large number is
the small number is

Answers

a + b = 46
a-b = 2

solve one of the equations for a...
a + b = 46
a = b + 2

solve for "b" using substitution...
(b + 2) + b = 46
2b + 2 = 46
2b = 44
b = 22

solve for "a" with substitution...
a + (22) = 46
a = 24

Smaller Number: 22
Bigger Number: 24
Let us condense your question in the form of system of equations,

x + y = 46
x - y = 2

Now, x = 46 - y

Thus,

46-y - y = 2

46 - 2y = 2

-2y = -44

Thus, y = 22.

x + y = 46

x + 22 = 46

Thus, x = 24.

Thus, the greater number is 24 and smaller number is 22.