Question

Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1

200

likes

1001 views

Answer to a math question Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1

$Expert avatar$

Hermann

4.6

128 Answers

1. Substitute

x=3

into the line equation

y=2x+1

y = 2(3) + 1 = 6 + 1 = 7

2. Compare

y=7

with the

coordinate of the point, which is

.

3. Since

4 < 7

, the point

(3,4)

is below the line.

Answer: The point

(3,4)

is located in the lower half-plane.

Frequently asked questions (FAQs)

What is the resultant displacement when a vector of magnitude 10 units is added to a vector of magnitude 5 units? (

Find the limit as x approaches 4 of (2x^3 - 3x^2 + 5x - 8) / (x - 4).

What is the measure of the unknown angle if a line bisects the angle formed by two intersecting lines, where one angle measures 60 degrees?

New questions in Mathematics

If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.

The patient is prescribed a course of 30 tablets. The tablets are prescribed “1 tablet twice a day”. How many days does a course of medication last?

-6(3x-4)=-6

For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight

X^2 = 25

A food delivery company charges on average a delivery fee of $5 per order (including food and shipping) and has monthly fixed costs of $600. If the average cost of each meal delivered that is revenue for the company is $10 and the company has a monthly profit of $800, how many orders must they deliver per month?

A person borrows rm 1000 from a bank at an interest rate of 10%. After some time, he pays the bank rm 1900 as full and final settlement of the loan. Estimate the duration of his loan.

The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?

Two business partners have a bank balance of $17,942.00. After the first year their interest brings their balance to $18,928.91. What rate of interest is earned?

Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.

A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall

Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.

A loan is repaid with payments of $2226 made at the end of each month for 12 years. If interest on the loan is 5.2%, compounded semi-annually, what is the initial value of the loan? Enter to the nearest cent (two decimals). Do not use $ signs or commas.

2X+2=8

Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J

Find the vertex F(x)=x^2-10x

How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7

2p-6=8+5(p+9)

(3.1x10^3g^2)/(4.56x10^2g)

The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?

Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1

Answer to a math question Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1

You might be interested in