Acar tracked 640 miles at a certain speed. if the speed of had been 8 mph faster, the trip could have been made in 4 hours less time. find the speed.

Step-by-step explanation:

Distance = rate × time, or  

d=rt, so

         Let x = original speed.

Then x + 8 = faster speed

       Let t₁  = time at original speed

      And t₂ = time at faster speed

    Then t₂ = t ₁ - 4

Check:

OK.

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq