MATHEMATICS HIGH SCHOOL

If A = (0, 0) and B = (6, 3), what is the length of ? A.7.73 units B.6.24 units C.5.20 units D.6.71 units

Answers

Answer 1

Answer:

The length of segment AB is 6.71 units

How to determine the length?

The given parameters are:

A = (0,0) and B = (6,3)

The length AB is calculated using:

$AB = √((x_2 -x_1)^2 + (y_2 -y_1)^2)$

Substitute known values

$AB = √((6 -0)^2 + (3-0)^2)$

Evaluate the sum of exponents

$AB = √(45)$

Evaluate the square root

AB = 6.71

Hence, the length of AB is 6.71 units

Related Questions

An athlete trains for 75 mins each day for as many days as possible write an equation that relates the number of days d that the athlete spends training when the athlete trains for 375 mins
Given the following scenario, decide if it is a permutation or combination, and then calculate the possibilities. Papa John’s pizza has 17 different toppings to choose from. In how many ways can you make a three topping pizza?
4y-12x+8=0; Solve for y
An ice chest contains cans of apple juice, cans of grape juice, cans of orange juice, and cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of juice.
Product of 5 and the quantity 3 plus z

a population of insects doubles every month. If there are 100 insects to start with, how many will there be in 7 month

Answers

If at the end of every month the population dubbuls then at the end of 7 month there will be 12,800

month1)200

month2)400

month3) 800

month4) 1600

month5) 3200

month6) 6400

month7)12800

Final answer:

The population of insects is doubling each month. To figure out the population after 7 months, we can use the formula for exponential growth, 2^n, where n is the number of months. Using this formula, after 7 months, there will be 12,800 insects.

Explanation:

The population of insects is doubling each month, so the insect population is growing exponentially. To calculate the population after 7 months, you can use the formula for exponential growth, which is 2^n, where n is equal to the number of time periods, in this case, months.

After 1 month, the population is 100 * 2 = 200. After 2 months, the population is 200 * 2 = 400, and so on. After 7 months, we can calculate as follows:

100 * 2^7 = 100 * 128 = 12800 insects. So, after 7 months, there will be 12,800 insects if the population doubles each month.

Learn more about Exponential Growth here:

brainly.com/question/12490064

#SPJ3

24 less than 3 times the number itself is equals to a number.what is the number?

Answers

The number is 12.

What is algebraic expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

let number be x.

3x-24 = x

3x-x = 24

2x=24

x = 12

to learn more about algebraic expression refer to:

brainly.com/question/4344214

#SPJ2

The answer is 24 x 3 = 72

Expand the logarithmic expression log(8) a/2

Answers

$log _(8) (a)/(2) = \n log _(8)a - log_(8) 2 = \n log _(8)a - (1)/(3)log _(2)2= \n log _(8)a - (1)/(3)$

Final answer:

The given logarithmic expression log(8a/2) can be expanded as 2 log 2 + log a by using the properties of logarithms.

Explanation:

The question is asking to expand the logarithmic expression log(8a/2). The properties of logarithms can be applied in order to simplify it. There are two key properties that will be used. First, the logarithm of a product of two numbers is the sum of the logarithms of the two numbers, which can be represented as log xy = log x + log y. Second, the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers, represented as log (a/b) = log a - log b.

With these properties in mind, we can start simplifying the given logarithmic expression. The expression log(8a/2) can be represented as log 8 + log a - log 2. Simplifying further, we get log 2^3 + log a - log 2, which simplifies further to 3 log 2 + log a - log 2. Simplifying one more step gives 2 log 2 + log a.

Learn more about Logarithm Expansion here:

brainly.com/question/37287488

#SPJ6

Solve: |x + 9| User: Evaluate 5|7 - 9| - 2.
-12
0
1
8

Answers

Solve:

$[x+9]$ - there is nothing to simplify

======================================

Evaluate:

$5(7-9)-2$

= $35 -45-2$

= $-10-2$

= $-12$

or

$5(7-9)-2$

= $35 -45-2$

= $35-47$

= $-12$
------------------------------------------
So, -12 is the answer.

PLEASE ANSWER ASPAA The x-intercept of the equation 2y – x = -6 is: 3. -3. 6. None of these choices are correct.