Answer:
NM = 15
Step-by-step explanation:
There is a property of secants and tangents to a circle where:
The square of the tangent length is equal the length of the external segment of the secant times the whole secant length.
Therefore, in our question, we have that:
The values of NM, ML and MK are:
So we have:
So the length of NM is:
Y = mx + b
slope(m) = -3
(6,-2)...x = 6 and y = -2
sub and find b, the y int
-2 = -3(6) + b
-2 = -18 + b
-2 + 18 = b
16 = b
so ur equation for this line is : y = -3x + 16
(a,7)......so y = 7......" a " is gonna be x
y = -3x + 16
7 = -3x + 16
7 - 16 = -3x
- 9 = -3x
-9/-3 = x
3 = x..........so " a " is gonna be 3 <===
Answer:
The vertex of the graph of f(x) = |x - 13| + 11 is (13, 11).
Step-by-step explanation:
There is something called absolute value in the given function. It means two equations will result from it.
When 
the resultant equation is
- This will be the first equation
or
When 
the resultant equation is
- This will be the second equation.
The intersection of these lines will give the vertex as found by solving both equations at the same time.
_________
Replacing the value of 
for any one;
(first one)
(second one)
The vertex is (13, 11)
The value of x is 1.14 or x = -1.47
We find the value of x in the quadratic equation 3x^2 +x-5=0
Using the formula: (-b ± √ (b²- 4 a c)) / (2a)
Where the value of a = 3, b = 1 and c = -5
Substituting the above values (a = 3, b = 1 and c = -5)
in the formula:
(-1 ± √ (1²- 4 3 (-5))) / (2*3)
= (-1 ± √ (1+60)) / (6)
= (-1 ± √ (61)) / (6)
= (-1 ± 7.81) / (6)
= (-1 + 7.81) / (6) or (-1 -7.81) / (6)
= (6.81) / (6) or (-8.81) / (6)
=1.135 or -1.468
Hence the value of x= 1.14 or -1.47
LEARN MORE ABOUT QUADRATIC EQUATIONS HERE: brainly.com/question/1214333
#SPJ9
