Answer:
Answer: LA=2π rh
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Step-by-step explanation:
The Definition Of a Midpoint says that is B is the
midpoint of segment AC, then segment AB ≅ AC.
Since segment AB ≅ segment BC, we can setup
the equation 2(3x - 1) = 8x - 20 and we can solve from here.
Start by distributing the 3 through the parenthses on the left side.
So we get 6x - 2 = 8x - 20.
Now subtract 8x from both sides to get -2x - 2 = -20.
Now add 2 to both sides and we have -2x = -18.
Finally, dividing both sides by -2, we find that x = 9.
If x = 9, segment BC must be 3(9) - 1 or 27 - 1 which is 26.
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
From the question, we are informed that there are 25 markers in a bag: 5 red, 5 yellow, 5 blue, 5 green, 5 purple and that one marker is drawn out of the bag, then put back in.
The probability of picking a blue marker will be: = 5/25 = 1/5
Therefore, the number of times that a blue marker will be expected to be picked in 80 draws would be:
= 1/5 × 80
= 16 times
The change in the water vapors is modeled by the polynomial function c(x). In order to find the x-intercepts of a polynomial we set it equal to zero and solve for the values of x. The resulting values of x are the x-intercepts of the polynomial.
Once we have the x-intercepts we know the points where the graph crosses the x-axes. From the degree of the polynomial we can visualize the end behavior of the graph and using the values of maxima and minima a rough sketch can be plotted.
Let the polynomial function be c(x) = x
² -7x + 10
To find the x-intercepts we set the polynomial equal to zero and solve for x as shown below:
x
² -7x + 10 = 0
Factorizing the middle term, we get:
x
² - 2x - 5x + 10 = 0
x(x - 2) - 5(x - 2) =0
(x - 2)(x - 5)=0
x - 2 = 0 ⇒ x=2
x - 5 = 0 ⇒ x=5
Thus the x-intercept of our polynomial are 2 and 5. Since the polynomial is of degree 2 and has positive leading coefficient, its shape will be a parabola opening in upward direction. The graph will have a minimum point but no maximum if the domain is not specified. The minimum points occurs at the midpoint of the two x-intercepts. So the minimum point will occur at x=3.5. Using x=3.5 the value of the minimum point can be found. Using all this data a rough sketch of the polynomial can be constructed. The figure attached below shows the graph of our polynomial.