Answer:
7) x= 5, 8) x= 6, 9) x= 7
Step-by-step explanation:
As per the secant theoram, if two secant intersect outside the circle then the product of the exterior secant and total length of each secant are equal.
7) ∴ 
opening parethesis and distributing 3 with x and 3.
⇒ 
subtracting 9 on both side.
⇒ 
cross multiplying
∴ x= 5.
8) 
Opening parethesis and distributing 4 with x and 4.
⇒ 
⇒ 
subtracting 16 on both side.
⇒ 
cross multiplying
∴ x= 6.
9) 
opening parethesis and distributing 5 with x and 5.
⇒ 
subtracting 25 on both side.
⇒ 
cross multiplying
∴ x= 7.
Given a quadratic function
y = 4x² - 19x - 5
or i will write it as
4x² - 19x - 5 = y
Zero of the function is when y have the value of zero.
So the quadratic equation will be
4x² - 19x - 5 = y
4x² - 19x - 5 = 0
Now make the equation to intercept form by factorization
4x² - 19x - 5 = 0
(4x + 1)(x - 5) = 0 (this is intercept form)
Solution 1
4x + 1 = 0
4x = -1
x = -1/4
Solution 2
x - 5 = 0
x = 5
SUMMARY
-1/4 and 5 are zero function of f(x) = 4x² - 19x - 5
Answer:
Length = 5
Width = 21
Step-by-step explanation:
(x)(x + 16) = 105
x^2 + 16x = 105
x^2 + 16x - 105 = 0
(x - 5) x ( x + 21) = 0
x - 10 = 0
x = 5
x + 21 = 0
x = -21
Now that we have the zeroes.
We have to find the most viable one to put in.
Using -21 would not make sense, so we will use 5.
Plug it in:
x = 5
(5) (5 + 16) = 105
5 ( 21) = 105
Step-by-step explanation:
Quadratic term = Coefficient of x^2 term = 3.
