Answer:
54.2 mph
Step-by-step explanation:
Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...
70² = c² +(c -10)²
4900 = 2c² -20c +100 . . . . eliminate parentheses
c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form
(c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form
c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical
c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution
Cynthia's average speed was 54.2 miles per hour.
19,700,000 because 19 million is 19,000,000 and 700,000 is 700,000 add thise together and you get 19,700,000
Answer:
is the correct answer.
Step-by-step explanation:
We know that vertex equation of a parabola is given as:
where 
is the vertex of the parabola and
are the coordinate of points on parabola.
As per the question statement:
The parabola opens upwards that means coefficient of 
is positive.
Let 
Minimum of parabola is at x = 3.
The vertex is at the minimum point of a parabola that opens upwards.
Putting value of a and h in the equation:
Formula used: 
Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.
Comparing 
and 
13 = 9+k
k = 4
Please refer to the graph attached.
Hence, correct option is
The answer is "$94."
If all 6 friends spent $420 on kayaks, and $144 on food, then they spent $564 in total. Divide $564 by 6 people to see how much each person payed.
420+144=564
564÷6=94
