Answer:x
2−14x+40=0 Factor x2−14x+40 using the AC method.(x−10)(x−4)
0 If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.x−10=0x−4=0 Set the first factor equal to 0 and solve.x=10Set the next factor equal to 0and solve....x=4
The final solution is all the values that make (x−10)(x−4)=0 true x=10,4
Step-by-step explanation:IDK
I don’t know if this is the answer but.. An angle generated by one complete counterclockwise rotation measures 360° or 21 radians. 360° An angle generated by one complete clockwise rotation measures -360° or -21 radians.
We will use the Pythagora’s theorem for this. Using the formula: a^2 + b^2 = c^2
Pls see the below working out :)
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :

So, the linear speed of the carousel is 3.64 ft/s.
Answer:
1)
, 2) The value of
is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Step-by-step explanation:
Let be a rectangle with a length of
feet and a width of 3 feet. The area (
), measured in square feet, and perimeter (
), measured in feet, formulas are, respectively:

(Eq. 1)
(Eq. 2)
1) Now, we assume that
, then we reduce the system of linear equation into a sole linear equation:
(Eq. 3)
2) We proceed to solve for
:


The value of
is 3.
3) Lastly, we obtain the values of the perimeter and area:




The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.