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 is the value of the unknown number in the verbal description five times the sum of 12 and a number is 80
Is the square root of 2 times the square root of 3 rational or irrational
Which part of this sentence is notcorrect?Marcela es la muchacha alta y rico. A. rico   B. la   C. muchacha   D. alta
Which of the following best explains why anodization is a useful process in many industries? Anodization can improve the appearance of dull metals by adding lay
What is the root and meaning of disease
who decided that organized resistance by southern states who prevent racial integration in the south
Y-9=1/4 (x-7) what is the slope of this line?
Which Christian humanist Road and on which Christian humanist wrote in praise of folly criticizing church officials for focusing on money power and control inst
The equation t=0.07c represents the tax, t, based on the cost, c , of an item. Which part all of the equation represents the constant of proportionality? (A) T
what is 12 cats to 15 dogs simplest form