Answer:
8
Step-by-step explanation:
a² = 10² - 6²
a² = 100 - 36
a² = 64
a = √64
a = <u>8</u>
So, the value of a is 8
<em>Hope </em><em>this </em><em>is </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
<span>Frst, some notation. Let AB be a chord on circle O, and let CD be a diameter of O that passes through AB at M. </span>
Answer:
b and c, b and c are same
Step-by-step explanation:
Only a and d can be evaluated using simple substitution.
For a, integral of the square root of (x-1)dx i.e
let y = x-1
dy = dx
It becomes integral square root of ydy, ∫√ydy
which is can easily be evaluated and y is substituted back.
For d, integral of x times the square root of the quantity x squared minus 1
let y= x squared minus 1
then dy = 2xdx
dx = dy/2x
It becomes integral x times square root of y dy/2x
∫x√ydy/2x=∫√ydy/2=1/2∫√ydy which can easily be evaluated and y is substituted back
For example
We have y=7-3x
y=5-2x
and we want to find where the 2 graphs intersect
we add 3x and 2x in the 2 equations
3x+y= 7
2x+y=5
3x-2x+y-y=7-5
x=2
3*2+y=7
y=7-6
y=1
For x=2, y=1 ⇒ A(2,1) is the point where the 2 graphs intersect
⇒ There is only a point where 2 lines intersect
