1) use the distance formula to find that the radius (r) of the circle = 5
2) use the midpoint formula to find that the center of the circle (h,k) = (3, 0)
3) Now use the formula of a circle and input the (h,k) and r to create:
(x - 3)² + (y - 0)² = 5² → (x - 3)² + y² = 25
4) input the "x" value given in the question (x = 0) and solve for "y":
(0 - 3)² + y² = 25 → 9 + y² = 25 → y² = 16 → y = +/- 4
Since the question states that "b" must be positive, you can disregard the -4.
Answer: b = 4
I hope this helps, it’s a bit messy but yeahh
Answer:
4x^2+19x-5=(x+5)(4x -1)
Step-by-step explanation:
The given expression is 4x^2 + 19x - 5
The leading coefficient is 4 and last term is -5
Multiply them, we get -20
Now find the factors of -20 such that when you add the factors we have to get 19.
-1*20 = -20
20+ (-1) = 19
The right factors are -5 and 9.
4x^2 + 19x - 5 =4x^2 + 20x -1x - 5
= 4x(x + 5) -1(x + 5)
= (x + 5)(4x -1)
The missing factor is (4x -1)
Thank you.
Answer:
Gets smaller
Step-by-step explanation:
- The standard deviation is the quantification of spread of data. According to descriptive statistics the standard deviation s is given by:
s = Σ ( x - u ) / sqrt ( n )
Where, n : sample size
u : Mean value
- So we see that standard deviation (s) is inversely proportional to square root of sample size (n).
- We can see that as sample size (n) increases the standard deviation (s) decreases.
Answer:
Value of x will be 0.1515
Step-by-step explanation:
We have given the equation 
We have top fond the value of x using exponent and logarithmic property
So
Taking log both side
x = 0.1515
