Points a, q, and o are collinear. ao = 10, aq =15, and oq = 5. what must be true about their positions on the line?

Point O is between points A and Q

Step-by-step explanation:

Given,

A, Q and O are collinear,

There are three possible cases,

Case 1 : A is between Q and O,

i.e. AQ + AO = QO

Case 2 : Q is between A and O,

i.e. AQ + QO = AO

Case 3 : O is between A and Q,

i.e. AO + OQ = AQ

We have given,

AO = 10, AQ =15, and OQ = 5.

∵ AO + OQ = AQ

⇒ Point O is between points A and Q

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)