On the number line, a bug p is moving in the positive direction from the point 0, and a bug n is moving in the negative direction from the point 0. the speeds of both bugs are constant. both leave 0 at the same time, and four seconds later p has reached 12 and n has reached –8.if x is the point reached by p after t seconds, and y is the point reached by n after t seconds, express x and y in terms of t.30 seconds after leaving point 0, how far apart are p and n? when will p and n be 300 units apart?

x = 3t and y = 2t

The distance between P and N after 30 seconds is 150 units

P and N will be 300 units apart after 60 seconds

Step-by-step explanation:

∵ The bugs moved with constant speeds

∵ Speed = Distance ÷ Time

∵ Bug P moved 12 units in 4 sec.

∴ Its speed = 12 ÷ 4 = 3 units/sec.

∵ Bug N moved 8 units in 4 sec.

∴ Its speed = 8 ÷ 4 = 2 units/sec.

∵ P reached point x after t seconds

∴ x = 3t

∵ N reached point y after t seconds

∴ y = 2t

∵ t = 30 sec.

∴ x = 3 × 30 = 90 units

∴ y = 2 × 30 = 60 units

∴ The distance between x and y = 90 + 60 = 150 units

∵ The distance between x and y = 300 units

∴ 3t + 2t = 300

∴ 5t = 300

∴ t = 300 ÷ 5 = 60 sec.

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.