If N = 8
if M = 7
then the equation is 8(2) - 7
do the multiplication first 8(2) = 16
now do the subtraction 16 - 7 = 9
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
Answer:
(-3,0) = x and (0,4) = y
Step-by-step explanation:
Answer:
x and (x - 6)
Step-by-step explanation:
y = a(x - h)² + k
h = 3 k = -2
y = a (x - 3)² -2
For point (0 , 0) on the function
0 = a (0 - 3)² -2
0 = 9a - 2
a = 2/9
a (x - 3)² -2 = 2/9 (x² - 6x + 9) - 2 = 2/9 * x * (x - 6) + 2 - 2 = 2/9 * x * (x-6)
Another way to write this is:
x = 23y + 5
xy = 6732
Now plug in the first equation into the second:
(23y + 5)y = 6732
23y^2 + 5y - 6732 = 0
Either use quadratic equation or factor:
(y - 17)(23y + 396) = 0
y = 17 or -396/23
You know you can automatically eliminate the second y because it's negative and you need the two integers to multiply to a positive number (6732).
Plug y = 17 back into either equation (second might be easier):
17x = 6732
x = 396
