Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Step-by-step explanation:
Remember, a quadratic function which has roots x = a, and x = b, can be written as:
p(x) = A*(x - a)*(x - b)
Where A is the leading coefficient. This is the factorized form of a quadratic.
We have the function:
f(x) = (x - 3)^2
Now, we could rewrite this as:
f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)
Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)
Then the only root of f(x) is x = 3.
Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:
A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
The perimeter of the triangle, namely the sum of all its 3 sides, is 110.
now, the three sides are in a 6:7:9 ratio, namely, if we divide 110 by (6+7+9), it will give us hmmm 110/22, a quotient of 22 equal pieces, namely how many times 22 would go into 110.
now, the small side, takes 6 of those pieces, the medium side takes 7 of them and the largest takes 9 of those pieces.
110/22 = 5
the small side is then 6(5).
the medium side is 7(5).
and the largest side is 9(5).
add them up, and you'd get the perimeter, 110 inches.
Answer:
Step-by-step explanation:
In equation, (-d + e)( 4e + d) will be (-4ed - d^2 + 4e^2 +ed ) to simplify we combine the terms with the same variables such as d^2, e^2 and ed. The equation becomes, 4e^2 - 3ed - d^2 . The product has 3 terms with a degree of 2. The statements that are true are B and E.
The area of the sector 2π/3 radians with diameter 10 feet 75π feet²
The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.
Diameter = 10 feet
radius = 5 feet
angle = 2π/3 radians
⇒angle= arc/radius
⇒ 2π/3 radians° =arc/10
⇒ arc =2π/3 radians *10
⇒arc=2π/3 radians*10
⇒arc = 20/π43 feet
Area of a circle = π*r²
= π*5² = π25
∵ area of complete circle is π25
∴ area of 2π/3 radians = π25/2π *2π/3 radians
= 75π answer
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