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

The 1905 massacre of protestors outside the czar's palace in St. Petersburg, Russia, is known as _____.
Joe earns $160 per week at a local market. He makes a payment of $12 per week for a new bike. He spends $75 each week on food an entertainment. Joe deposits the
Carly made a coaster for her juice cup. The dimensions are 9/10 for length and width. What is the area of Carly's coaster if it's shaped like a square?
Who overthrew the nobles with the support of the common people?
Which park contains a canyon that is 10 miles (16 km) long with walls that reach 3,000 feet (910 m) high?
What is the difference between nomads and hunter-gatherers of ancient times?
Kevin can travel 22 1/2 miles in 1/3 hour. What is his average speed in miles per hour?
Which describes a major advantage of steamboats over other vessels
for which form of reproduction is a mate required A. asexual reproduction B. Sexual reproduction C. Mitosis D. Binary fission
1 divided by 4 ^x = 16 what is x