determine the coordinates of the points that satisfy each condition two points on the x-axis are 10 units from (1,8)

Answers

Answer 1

Answer:

To determine the coordinates of the points that satisfy the condition of being 10 units from (1,8) on the x-axis, we can set up two equations based on the distance formula.

Let's assume the coordinates of the points are (x, 0), where y = 0 represents the x-axis.

Using the distance formula, we have:

√[(x - 1)^2 + (0 - 8)^2] = 10

Simplifying the equation, we get:

√[(x - 1)^2 + 64] = 10

Squaring both sides, we have:

(x - 1)^2 + 64 = 100

Now, you can solve this equation to find the possible x-coordinates of the points.

Based on what you just explained about determining the coordinates of points that satisfy a given condition, let's move on to a related concept

Related Questions

Tom gets $12 off a box of chocolates that had an original $48. what percentage is the discount?
Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car A is 0.46, and the probability that she will purchase car B is 0.34. What is the probability that she will not purchase either car A or car B?0.12 0.40 0.20 0.80
Which of the following equations has an infinite number of solutions?A. 3x – 3 = –4xB. 2y + 4 – y = 16C. 7x + 5 = 4x + 5 + 3xD. 6y – 2 = 2(y – 1)
Solve for y 4y — - 7 = -3 5
Karissa eats 400 bananas per day. using f(x)=400x•422, where x is the amount of time in days, and f(x) is the amount of potassium in karissa's bones in Mg. how much radiation has she built up over 14 days, if there is 0.1 mSv of radiation per 422 milligrams of potassium.equation: f(x)=400x•422

A 12-gallon tub has a faucet that lets water in at a rate of 3 gallons per minute, and a drain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons of water in the tub, how long will it take to ﬁll the tub completely?

Answers

Vol of water required to fill up the tub = 12-3 = 9
Rate of water per min =    3 -1.5 = 1.5/min
Using the formula           vol   =   rt
                                            t = v/r
                                            t =    9/1.5    =   6
time taken =    6 mins

A countrys population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using exponential growth formula. Round your answer to the nearest million. P=Ae to the power kt

Answers

Answer:

171 million

Step-by-step explanation:

Given the exponential growth formula expressed as $P = Ae^(kt)$ where P is the countrys population and t is the time.

Initially in 1991, at t= 0, P = 147 million

$P = Ae^(kt)\n147 = Ae^(k(0))\n147 = Ae^0\n147 = A(1)\nA = 147$

If by 1998 it was 153 million, this means that the population is 153 million 7 years later i.e when t = 7, P = 153. On substituting into the formula to get the constant 'k';

$P = Ae^(kt)\n153 = 147e^(k(7))\n153 = 147e^(7k)\n153/147 = e^(7k)\ne^(7k) = 1.041\nTaking \ ln \ of \ both \ sides\nlne^(7k) = ln 1.041\n7k = 0.04018\nk = 0.04018/7\nk = 0.00574$

To estimate the population in 2017, to number of years from 1991 to 2017 is 26 years. Hence we are to find the value of P given t = 27, A = 147 and k = 0.00574

$P = Ae^(kt)\nP = 147e^(0.00574*26)\nP = 147e^0.14924\nP = 147*1.16095\nP = 170.659$

Hence the population in 2017 using exponential growth formula to the nearest million is 171 million.

Need to find common denominators for 58/2.9 and 58/5

Answers

The smallest common denominator is 2.9 x 5 = 14.5

The smallest common denominator would be 5 times 2.9 which is 14.5

What is the distance around a triangle that has sides measuring 2 1/8 feet, 3 1/2 feet, and 2 1/2 feet?

Answers

Perimeter = 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8

Another name for positive integers is

Answers

ok so
integers are like
-3,-2,-1,0,1,2,3,4...
positive
0 is not poisitiv or negative

so therefor
1,2,3,4,5
aka counting number or natural numbers

the name is counting numbers or natural numbers

natural or counting numbers because if you think about it on the left side of the integer number line we have negative integers so they wouldn't be considered natural and positive always beats negative because it has a greater absolute value

60,000 nearest to ten thousand

Answers

Answer:60,000

Step-by-step explanation:60,000 is just rounding to the ten thousand and 60,000 is the nearest ten thousand

Other Questions

5 schools sent some students to a conference.One of the schools sent both boys and girls. This school sent 16 boys. The ratio of the number of boys it sent to the number of girls it sent was 1 : 2 The other 4 schools sent only girls. Each of the 5 schools sent the same number of students. Work out the total number of students sent to the conference by these 5 schools.

How do i do this ????????????

Some friends find a sheet of stickers with 9 gold stars on it. After talking it over, the 3 friends share them fairly.

A students' choir contains 25 children and only 5 of them play the piano. If a child is selected at random, what is the probability that the child DOES NOT play the piano? Select all the right answers.