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3 years ago

On a number line, suppose the coordinate of A is 0 and AR=21. What are the possible coordinates of the midpoint of AR?

Mathematics

1 answer:

Gnoma [55]3 years ago

4 0

Answer:

The possible coordinates of the midpoint are -10.5 and 10.5

Step-by-step explanation:

The given parameters are;

The coordinate of A = 0

The distance from A to R which is the same as AR = 21

Given that R is on the number line, we have;

When R is on the left side of A, which is = 0 - 21 = -21, we have;

The coordinates of the midpoint, M from -21 to 0 is given as follows;

M = (A + R)/2 = (0 - 21)/2 = -10.5

When R is on the right side of A, which is = 21 - 0 = 21, we have;

The coordinates of the midpoint, M from 21 to 0 is given as follows;

M = (A + R)/2 = (0 + 21)/2 = 10.5

Therefore, the possible coordinates of the midpoint are -10.5 and 10.5.

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Please help fast! give me the equation

uranmaximum [27]

$\begin{bmatrix}x=\frac{\pi }{2}+2\pi n\\ x=\frac{3\pi }{2}+2\pi n\\ x=\frac{3\pi }{4}+\pi n\\ x=\frac{7\pi }{4}+\pi n\end{bmatrix}$

$\begin{bmatrix}\frac{3\pi }{2}+2\pi n=\frac{\pi }{2}+2\pi n\\ \frac{3\pi }{2}+2\pi n=\frac{3\pi }{4}+\pi n\\ \frac{3\pi }{2}+2\pi n=\frac{7\pi }{4}+\pi n\end{bmatrix}$

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6 0

2 years ago

A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the

denis-greek [22]

Answer:

38.60mm

Step-by-step explanation:

Step one:

Given data

We are given that the dimension of the triangles are length 23 mm and 31 mm

Let us assume that the triangle is a right angle triangle

Step two:

Applying the Pythagoras theorem we can find the third as

$z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\$

square both sides

z= √ 1490

z= 38.60mm

Hence a possible dimension of the third side is 38.60mm

3 0

3 years ago

When 4 is subtracted from 5 times a number, the result is 16. what is the number?

Deffense [45]

4
5x - 4 = 16
Add four to both sides
5x = 20
Divide both sides by 5
x = 4

4 0

3 years ago

Read 2 more answers

1. What is the value of the expression f2 + 5 if f = 3?<br> A. 8<br> B. 2<br> C. 6<br> D. 14

zaharov [31]

Option D: 14 is the right answer

Step-by-step explanation:

In order to find the value of given expression we have to put the given value for f in the expression

Given expression is:

$f^2+5$

We have to find the value of expression on f=3

So,

putting f=3 in expression

$= (3)^2+5\\= 9+5\\=14$

The value of given expression at f=3 is 14

Hence,

Option D: 14 is the right answer

Keywords: expressions, variables

Learn more about expressions at:

#LearnwithBrainly

8 0

3 years ago

Suppose that during one period extreme cold,the average daily temperature decreased 1 1/2 F each day. How many days did it take

Alenkasestr [34]

We have been given that during one period extreme cold, the average daily temperature decreased $1\frac{1}{2}$ degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.

First of all we will convert our mixed fraction into improper fraction.

$1\frac{1}{2}=\frac{3}{2}$

Now we will divide total temperature change (9) by average daily temperature change ( $\frac{3}{2}$ ) to find number of days.

$9\div\frac{3}{2}$

Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.

$9\cdot\frac{2}{3}$

$3\cdot2=6$

Therefore, it will take 6 days for the temperature to decrease by 9 degree F.

7 0

2 years ago

On a number​ line, suppose the coordinate of A is​ 0 and AR=21. What are the possible coordinates of the midpoint of AR?

On a number line, suppose the coordinate of A is 0 and AR=21. What are the possible coordinates of the midpoint of AR?