All categories

2 years ago

Suppose the point P = ( - 10,6) is reflected across the x-axis to the point P'.

Mathematics

1 answer:

mash [69]2 years ago

5 0

Answer:

(-10,-6)

Step-by-step explanation:

When this point is reflected in the x-axis, the y-coordinates change from either positive to negative or negative to positive. The x-coordinates will not change.

Since the y-coordinates is originally positive, it will change to negative. Giving us our answer of:

(-10,-6)

You might be interested in

3. Identify the subsets of real numbers that apply to /100/5

Alina [70]

Using number sets, it is found that the correct classification of the number is:

C. rational number, integer, whole number, natural number , real number.

Numbers are classified as:

Whole, which is all positive numbers and zero, also called natural.
Integers, which is the set of whole numbers plus negatives.
Rational, which is the set of integer numbers plus terminating or repeating decimals.
Irrational, which are non terminating decimals.
Real, which are the sum of rational and irrational.

In this problem, the number given is:

$\frac{100}{5} = 20$

Which is a whole(natural) number, thus it is also integer, rational and real, and the correct option is C.

A similar problem is given at brainly.com/question/10814303

7 0

3 years ago

Can someone please give me an equation in slope-intercept form for this graph?

Scilla [17]

Answer:

substitute y = mx +b = (2/3)x -2

Step-by-step explanation:

slope intercert form looks like this

y = mx + b

m is the slope

b is the y intercept

The line intercepts the y at -2

To find slope, pick 2 points to find the slope

m = (y2 - y1)/(x2-x1)

i select point 1 (0,-2) and point 2 (3,0)

m = (0-(-2))/(3-0) = (2)/3

substitute y = mx +b = (2/3)x -2

4 0

3 years ago

How many bits are required to represent the decimal numbers in the range from 0 to 999 in straight binary code?

ad-work [718]

Note that powers of 2 can be written in binary as

$2^0=1_2$
$2^1=10_2$
$2^2=100_2$

and so on. Observe that $n+1$ digits are required to represent the $n$ -th power of 2 in binary.

Also observe that

$\log_2(2^n)=n\log_22=n$

so we need only add 1 to the logarithm to find the number of binary digits needed to represent powers of 2. For any other number (non-power-of-2), we would need to round down the logarithm to the nearest integer, since for example,

$2_{10}=10_2\iff\log_2(2^1)=\log_22=1$
$3_{10}=11_2\iff\log_23=1+(\text{some number between 0 and 1})$
$4_{10}=100_2\iff\log_24=2$

That is, both 2 and 3 require only two binary digits, so we don't care about the decimal part of $\log_23$ . We only need the integer part, $\lfloor\log_23\rfloor$ , then we add 1.

Now, $2^9=512$ , and 999 falls between these consecutive powers of 2. That means

$\log_2999=9+\text{(some number between 0 and 1})$

which means 999 requires $\lfloor\log_2999\rfloor+1=9+1=10$ binary digits.

Your question seems to ask how many binary digits in total you need to represent all of the numbers 0-999. That would depend on how you encode numbers that requires less than 10 digits, like 1. Do you simply write $1_2$ ? Or do you pad this number with 0s to get 10 digits, i.e. $0000000001_2$ ? In the latter case, the answer is obvious; $1000\times10=10^4$ total binary digits are needed.

In the latter case, there's a bit more work involved, but really it's just a matter of finding how many number lie between successive powers of 2. For instance, 0 and 1 both require one digit, 2 and 3 require two, while 4-7 require three, while 8-15 require four, and so on.

8 0

3 years ago

If 2 gallons of paint are needed to paint 3,000

IgorLugansk [536]

Answer:10 gallons are needed to paint 15,000 square feet of wall.

Step-by-step explanation:

3,000/2=1,500

15,000/1,500=10 gallons

6 0

2 years ago

Tables do not include numerical data. True or false?

stepan [7]

True all table does not need to include numerical data

5 0

3 years ago

Read 2 more answers