Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Answer:
c. zero product rule
Step-by-step explanation:
apex
Answer:
c
Step-by-step explanation:
subsidized means that they pay for it
Answer:
Option C. y= ( -x)^2 -4
Step-by-step explanation:
If we have a function 
and we want to transform it into a function g(x) that is equal to f(x) displaced c units down on the y-axis, then we must do:
In this case we want to move the function 4 units down, then:
Finally, to reflect the function on the y-axis. must do 
Then we have the following function:
The answer is option C
Answer:
1) No
2) Yes
3) angle UXS = 120 degrees
4) arc CB = 40 degrees
Step-by-step explanation:
If AB is tangent to the circle, then angle at A would be 90 degrees.
1)
Is 13^2 + 14.6^2 = 19.4^2?
169 + 213.16 = 376.36 No
2)
Is 8^2 + 6^2 = 10^2?
64 + 36 = 100 Yes
3)
arc WS = arc VU + arc TU = 113 degrees
arc ST = arc WV because their chords cross making a pair of vertical angles.
full circle = 360 degrees
360-113 - 113 = 134 degrees
134/2 = 67 degrees for arc ST
arc STU = 67 + 53 = 120 degrees
Angle UXS = 120 degrees
4) arc CB = arc FB = 40 degrees because their chords cross making a pair of vertical angles.
