Answer : Distance will be 1507.2 feet .
Explanation :
Since we have given that
Radius of circle = 80 feet
So,
Circumference of circle is given by
Since , a car travels 3 times around a traffic circle.
So,
So, Distance will be 1507.2 feet .
Given equation : y=ax^2
Taking a to the other side we have, x^2=(1/a)*y
This equation describes a parabola that opens up.
When a is negative, the focus is on the negative y-axis, therefore, the parabola opens down.
The answer is a. down.
Answer:
1. Use a compass to make arc marks which intersect above and below then connect.
2. 
Step-by-step explanation:
1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.
2. The point slope form of a line is 
where 
. We write
Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.
Simplify for slope intercept form.
Answer:
The coefficient of the 2nd term of trinomial is 18.
Step-by-step explanation:
You can expand in a faster way by using the formula, (a+b)² = a²+2ab+b² :
(3x+3)² = (3x)² + 2(3x)(3) + 3²
= 9a² + 18a + 9
OR
You can expand it by doing step by step :
(3x+3)² = (3x+3)(3x+3)
= 3x(3x) + 3x(3) + 3(3x) + 3(3)
= 9x² + 9x + 9x + 9
= 9x² + 18x + 9
Let’s put these into one fraction each:
Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles
Swimming:
= (5*2)/3 miles
= 10/3 miles
Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4
Now we add all the distances up:
= (15/2) + (10/3) + (9/4)
Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
= (15/2) + (10/3) + (9/4)
= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
= (157/12)
Therefore Aaron Ran 157/12 miles or 13.08 miles.
Hope this helps!
