Answer:
Area of shaded region = 351.68 cm²
Step-by-step explanation:
Area of a circle = πr²
where r = radius = 3.14
Area of bigger circle = 3.14 × 11²
= 3.14 × 11 × 11
= 379.94cm²
Area of smaller circle = 3.14 * 3²
= 3.14 × 3 × 3
= 28.26cm²
Area of shaded region = Area of bigger circle - Area of smaller circle
= (379.94 - 28.26) cm²
= 351.68 cm²
Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
Answer:
y=3x+5
Step-by-step explanation:
I think that this is what they mean...
y=mx+b
y=3x+b
y=3x+5
plug in #s
5=15+5
5=20 no
Given :
Center of circle, C = ( 1 , 5 )
Point on circle, P = ( 5 , 1 )
To Find :
The radius of a circle.
Solution :
We know, radius of circle is the distance between center and point of circle.
Distance between two points A(p,q) and B(r,s) is given by :
So, distance between the points (1, 5) and (5, 1) is :
Therefore, radius of circle is 5.66 units.
Hence, this is the required solution.
Let the number be 'a':
The difference of the square of a number and 4
a^2 -4
is equal to 3 times that number.
= 3*a
a^2 -4 =3a
a^2 -3a -4=0
(a-4) (a+1)=0
solutions are: 4 and -1
