Step-by-step explanation:
<h2>13. </h2>
<h2>14.</h2>
<h2>15.</h2>
![\implies\sf{ {x}^{3} = 216 } \\ \\ \implies\sf{ x = \sqrt[3]{216} } \\ \\ \implies\sf{ x = 6 }](https://tex.z-dn.net/?f=%20%20%5Cimplies%5Csf%7B%20%7Bx%7D%5E%7B3%7D%20%3D%20216%20%7D%20%5C%5C%20%20%5C%5C%20%20%5Cimplies%5Csf%7B%20x%20%3D%20%20%20%5Csqrt%5B3%5D%7B216%7D%20%20%7D%20%20%20%5C%5C%20%20%5C%5C%20%5Cimplies%5Csf%7B%20x%20%3D%20%206%20%7D%20%20)
Answer:
Step-by-step explanation:
x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be
x^2 + y^2 = 17.
:::::
Plug the coordinates of D into the equation.
(-4)² + (-1)² = 17, so D is on the circle.
Plug the coordinates of E into the equation.
1² + 4² = 17, so E is on the circle.
:::::
Slope of DE = (-1 - 4)/(-4 - 1) = 1
Slope of perpendicular to DE is -1.
Midpoint of DE: ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)
Point-slope equation for perpendicular bisector:
y-1.5 = -(x+1.5)
y = -x
:::::
Center of circle is (0,0)
0 = -0, so y=-x passes through the center.
Answer:
choice 1) 312 cm²
Step-by-step explanation:
area = (16 x 12) + (10 x 12) = 312 cm²
Answer:
So, the present accumulated value is, $ 49557.69
Step-by-step explanation:
According to the question, payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. So, present accumulated value, =
$ 
= $ 
$ 49557.69
So, the present accumulated value is, $ 49557.69
