MATHEMATICS COLLEGE

Please help me solve this!

Answers

Answer 1

Answer:

Step-by-step explanation:

a) AB=2AM

A__________M__________B

If M is the midpoint of AB, then AM = MB

Since AM=MB MB=2AM

Therefore AB=2AM

b)AM=1/2MB

sincs M is midpoint of AB.

then AM=BM....(1)

and also AM+BM=AB

AM+AM=AB from (1)..AM=BM

2AM=AB

AM=1/2AB

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How can you solve linear equations by combining like terms?

Answers

Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.

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Answer:

by combining them like the ordinary like ordinary integers.

Step-by-step explanation:

For example we have

8x + 4y = 3x - 6

you will bring 3x to the left so it will become -3x

8x - 3x + 4y = -6

then combine like terms

there you have

5x + 4y = -6

The given:

8x + 4y = 3x - 6

8x - 3x + 4y = -6

5x + 4y = -6

answer for the example: 5x + 4y = -6

A farmer decided to put a fence around his property that measures 170 feet long and 120 feet wide. What is the perimeter of his property?

Answers

um about 300 frtt long

Answer: 580

Step-by-step explanation:

A fence is usually a rectangle shape in these questions

Perimeter of a rectangle is P = 2l + 2w

P = 2(170) + 2(120) = 580

Annisa wrote an expression that represents“the product of 6.2 and the sum of 3c and 8.”
What are the factors of the expression?

Answers

Answer:

“the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.

Step-by-step explanation:

Let us breakdown and translate the word expression into an algebraic expression.

The sum of 3c and 8 is algebraically represented as:

⇒ 3c + 8

Thus, “the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.

7. Here is a system of equations:-x+6y=9
x+6y=-3
Would you rather use subtraction or addition to solve the system? Explain
your reasoning. (Lesson 2-14)

Answers

Final answer:

It is more convenient to use addition to solve the system of equations as it eliminates one of the variables when the equations are added. The solution to the system of equations is x = -6 and y = 1/2.

Explanation:

To solve the given system of equations, it is generally more convenient to use addition rather than subtraction. This is because addition eliminates one of the variables when the equations are added together, making it easier to solve for the remaining variable. Let's see how:

Using addition:

Adding the two equations together eliminates the 'x' variable:

-x + 6y + x + 6y = 9 + (-3)

12y = 6

Now, we can solve for 'y' by dividing both sides by 12:

y = 6/12 = 1/2

Substituting the value of 'y' back into either of the original equations, we can solve for 'x':

-x + 6(1/2) = 9

-x + 3 = 9

-x = 6

x = -6

Therefore, the solution to the system of equations is x = -6 and y = 1/2.

Learn more about Solving systems of equations here:

brainly.com/question/29050831

fter production, a computer component is given a quality score of A, B, and C. On the average U of the components were given a quality score A, ( of the components were given a quality score B, and of the components were given a quality score C. Furthermore, it was found that actually of the components given a quality score A failed, of the components given a quality score B failed, and of the components given a quality score C failed. 11-A. What is the probability that a randomly selected component is NOT failed and received a quality score B