Answer:
f(x) = 6x² - 24x + 21
Step-by-step explanation:
The equation of a quadratic function in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 3 ) , then
f(x) = a(x - 2)² - 3
To find a substitute (1, 3 ) into the equation
3 = 1(1 - 2)² - 3
3 = a(- 1)² - 3
3 = a - 3 ( add 3 to both sides )
6 = a
f(x) = 6(x - 2)² - 3 ← in vertex form
= 6(x² - 4x + 4) - 3
= 6x² - 24x + 24 - 3
f(x) = 6x² - 24x + 21 ← in standard form
Answer:
Explanation:
Volume = 1/3(area of base) times height. 1/3(PI X R(squared)) X height. 1/3 x 3.14 x 25 x 6 = 157
<em>Hope this helps and have a great day/night!</em>
<em> -</em><em><u>grey</u></em>
Answer:
8x^2
Explanation:
First, do prime factorization of each of the coefficients:
32 ⇒ 2^5
24 ⇒ 2^3, 3
The greatest common factor (GCF) of the coefficients is 2^3 = 8.
Next, find the GCF of the variables:
x^2
x^2, y
The GCF of the variables is x^2.
Finally, multiply the GCF of the coefficients by the GCF of the variables to get:
8x^2
Answer:
The area of the sector is 
Step-by-step explanation:
we know that
The area of a complete circle (16π units^2) subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector , if the central angle is equal to 8π/5 radians
Answer:
answers below.
Step-by-step explanation:
50+x+5+180-4x-10=180
225-3x=180
-3x=-45
x=15
m<B=20
m<ACB=110
m<ACD=70
