Answer:
Your answer would be 
.
Step-by-step explanation:
The formula for the equation of a circle is 
, where (h, k) is the center of the circle, and r is the radius. Since the center is (-1, 3), the left half of the equation is 
. Now, all we have to do now is find the radius, r. To do that, you can use the distance formula to find the distance between the center (-1, 3) and a point that passes through the circle, or is on the circumference, (-4, -2). When you calculate that, you will get 
, so the radius is 
. But, we want the radius squared, which is 34. So, the final answer is what I wrote above.
Hope that helped! :)
First setup the system of equations for the given case.
Let sandwich=x
and delivery fee =y
Equations are:
4x+y=33 Equation 1
8x+y=61 Equation 2
Subtract equation 1 from 2.
4x=28
x=7
Now substitute value of x in equation 1.
4(7)+y=33
28+y=33
y=5
So cost of single sandwich=$7 and Delivery fee=$5
Now cost of 12 sandwiches:
12x+y=85
Put y=5
12x+5=85
12x=80
x=6.67 which is less than 7. So, They are not able to get 12 sandwiches for $85.
3/4 + 1/6= the common denominator is 12
3x2/4x3 + 1x2/6x2= you must multiply the bottom values of the fraction to get 12 and whatever you multiply on the bottom you must do on the top as well
6/12 + 2/12= now you can add it
8/12
8/12 ÷ 2/5= you must multiply by the reciprocal
8x5/12x2=
40/36= this is the answer
10/9 (this is the simplified answer)
Given that an object with a mass of 54kg travels at 15m/s^2, determine the kinetic energy of the object.
KE = 0.5 x mv^2
M (mass) = 54kg
V (velocity) = 15m/s^2
Then, we plug the values in.
KE = 0.5 x 54(15^2)
Now, we solve.
KE = 0.5 x 54(225)
KE = 0.5 x 12150
KE = 6075
Now, that we have solved the formula, we can see that the kinetic energy of the object is 6,075J.
Thus, the kinetic energy of the object is 6,075J.
Answer:
Total cost= $760
Step-by-step explanation:
Giving the following information:
Number of students= 347
Each bus holds 44 students.
Bus cost= $95
<u>First, we need to determine the number of buses needed:</u>
Number of buses= total students / student per bus
Number of buses= 347 / 44
Number of buses= 7.88 = 8 buses
<u>Now, the total cost:</u>
Total cost= 8*95
Total cost= $760
