Answer:
0.1875 miles (or 3/16 of a mile)
Step-by-step explanation:
In order to make the math easier for calculating the distance, the values have to be calculated to whole hours.
1.75*2 = 3.5
2.5 * 3 = 7.5, 7.5/2 = 3.75
Now, I divide the whole hours into quarters
3.5/4 = 0.875
3.75/4 = 0.9375
Multiply both values by 3 to get the distance after 3/4 of an hour
0.875 = 2.625
0.9375 = 2.8125
remove the smaller value from the larger value
2.8125 - 2.625 = 0.1875
I might have used a more over-complicated method than what you might have been taught, but it should be just as efficient. Good luck with your assignment!
Answer:
287
Step-by-step explanation:
The lateral surface area of a cone is r*pi*l, where l is the slant height. This is much like the formula of a square pyramid, which is a good way to understand this formula. But that aside, Lets plug in some values:
We know the diameter is 12 so r = 6.
Now lets find the slant height. We can draw a right triangle using the height, radius, and slant height. So we get, sqrt(6^2 + 14^2 ) = l, by Pythagorean's theorem. Therefore, l = sqrt(232) which is roughly 15.23
So we have 6*pi*15.23 which is roughly 287
1/7 x 2/3 =
2/21
hope this helps
What do you want to solve for? Substitute in c to find F. To solve for C,
<span>F - 32 = 9/5(c) </span>
<span>C = 5/9(F - 32)</span>
Answer:
a.
.
b. The axis of symmetry for
is
.
Step-by-step explanation:
a. The vertex form of a quadratic is given by
, where (h, k) is the vertex.
To convert from
form to vertex form you use the process of completing the square.
Step 1: Write
in the form
. Add and subtract 4:
![x^{2} - 4 x - 5=x^{2} - 4 x + {\left(4\right)} - {4} - 5](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-%204%20x%20-%205%3Dx%5E%7B2%7D%20-%204%20x%20%2B%20%7B%5Cleft%284%5Cright%29%7D%20-%20%7B4%7D%20-%205)
Step 2: Complete the square ![x^2+2ax+a^2=\left(x+a\right)^2](https://tex.z-dn.net/?f=x%5E2%2B2ax%2Ba%5E2%3D%5Cleft%28x%2Ba%5Cright%29%5E2)
![{\left(x^{2} - 4 x + 4\right)} - 9={\left(x - 2\right)^{2}} - 9](https://tex.z-dn.net/?f=%7B%5Cleft%28x%5E%7B2%7D%20-%204%20x%20%2B%204%5Cright%29%7D%20-%209%3D%7B%5Cleft%28x%20-%202%5Cright%29%5E%7B2%7D%7D%20-%209)
b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.
For a quadratic function in standard form,
, the axis of symmetry is
.
The axis of symmetry for
is
.
Look at the graph shown below.