srh110 srh110
  • 02-05-2019
  • Mathematics
contestada

the two lines y=2x+8 and y=2x-12 intersect at x-axis at P nad Q. work out the distance PQ

the two lines y2x8 and y2x12 intersect at xaxis at P nad Q work out the distance PQ class=

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 11-05-2019

ANSWER

|PQ|=10

EXPLANATION

The first line is

y=2x+8

We put y=0 to find the x-intercept.

0=2x+8

-2x=8

x=-4

(-4,0) are the coordinates of P.

The second equation is

y=2x-12

To find the x-intercept, we put x=0 into the formula:

0=2x-12

-2x=-12

x=6

The coordinates of Q are (0,6).

The distance between these two points.

|PQ|=|6--4|=10

Answer Link

Otras preguntas

A substance that releases hydrogen ions in water is a base. True or false?
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 16 minutes, the container has 7 gallons of water left.
Identify the correct sentence. a. This barbecued rib sauce is more tangier than that sauce. b. This barbecued rib sauce is most tangier than that sauce. c. T
The Cold War was a period of history during which the Allied powers defeated Hitler. the United States and the Soviet Union fought each other. the United States
What's 1,537x242 SHOW UR WORK PLEASE!!!
A person throws a tennis ball 6 m/s straight up. How long does it take for it to come back to their hand?
blank text has a darker apperance than normal texts
A transition paragraph often helps to show a change in scene, season, or characters. True False Please ASAP ASAP ASAP ASAP ASAP
what digit can be in the ones place of a number that has 5as a factor
The Korean war was initiated by South Korea who wanted to unify the nation. True or False?