Answer:
Step-by-step explanation:
A dilation is something that enlarges or shrinks an existing figure, retaining all angle measures. The two figures will be similar, not congruent.
A dilation of 1/2 (which is less than one) will make a figure smaller. You divide each coordinate point by two
(x, y) → (
)
This is a differential equations problem. We are to work backwards and determine the function f(x) when given f "(x) and initial values.
<span>f ''(x) = 12x^2 + 6x − 4, when integrated with respect to x, yields:
x^3 x^2
f '(x) = 12------ + 6----- - 4x + C, or 4x^3 + 3x^2 - 4x + C, and
3 2
x^4 x^3 x^2
f(x) = 4------- + 3------- - 4------ + Cx + D, or f(x)=x^4 + x^3 - 2x^2 + Cx + D
4 3 2
Now, because f(0)=5, 5=0^4 + 0^3 -2(0)^2 + C(0) + D, so that D=5.
Determine D in the same manner: Let x=1 and find the value of C.
Then the solution, f(x), is x^4 + x^3 - 2x^2 + Cx + 5. Replace C with this value and then you'll have the desired function f(x).</span>
Answer:
54 mins
Step-by-step explanation:
A, they are vertical angels! they have the same measure!
Answer:
when we add two negative numbers the result will always be a negative number, on adding negative numbers the direction of the move will always be to the left side
hope this helps!
