Answer:
x2+y2−12x+4y−60=0
The center of the circle is point: C=(6,−2).
The radius of the circle is r=10.
Let A represent the speed of car A. Using your formula,
.. A*2 = D
.. (A +15)*1.5 = D . . . . . the same distance in a shorter time at a higher speed
Equating the two expressions for D, we get
.. 2A = 1.5(A +15)
.. 2A = 1.5A +22.5 . . . . . eliminate parentheses
.. 0.5A = 22.5 . . . . . . . . .subtract 1.5A
.. A = 22.5/0.5 = 45 . . . .divide by 0.5
Car B was 15 mph faster than this.
Car B traveled at 60 miles per hour.
Answer:
20 students.
Step-by-step explanation:
The <u>first </u>person said 5 (which is 5 x 1), the <u>second </u>person said 10 ( which is 5 x2)... we see that this is a arithmetic sequence where the first term is 5 and the nth term is 100. We know that 100 = 5 x 20, therefore, the number of students that counted all the way up to 100 was 20 and Bobby was wrong.
Answer:
Step-by-step explanation:
When dividing fractions, I use a method called Keep Change Flip. Let's use the example 1/2 divided by 3/4 as an example. First, you have to keep the first fraction the same. This is what you currently have: 1/2 / 3/4. Next, you have to change the divison sign into a multiplication symbol. Now, this is what it should look like: 1/2 x 3/4. Then, you have to flip the fraction 3/4 into 4/3. Now, you have 1/2 x 4/3. Multiply the fraction. If you don't know how to, multiply numerator by numerator, denominator by denominator. You should get 4/6. However, this isn't your final answer. You can simplify this by dividing by 2 to get 2/3. So, your answer is 2/3. Hope this helped you and let me know if you need more help! :D
Answer:
WOW
Step-by-step explanation:
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