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

what are the components of blood?
What restriction may be necessary to the domain and range of linear equations?
if a baking tray is 700mm by 600mm, how many of 25cm in diameter can fit into the baking tray?
In what ways did contributions from African Americans aid the struggle for abolition?
what is the definition of sin
when did grass evolve?
A cone has a diameter of 8 cm. and a height of 4cm.   If the height doubles then the volume is: a) four times largerb) three times as largec) Twice as larged) T
Could you tell me what Are Spores?
determine the most precise name of the quadrilateral ABCD from the information given. for #13 & #14
An atom of which element has the strongest attraction for electrons? A) Ba B) Cs C) O D) F