Write an equation for the parabola with a vertex at the origin and focus of (4,0)
1 answer:
We will first plot those points to see what type of parabola this is. If the vertex is at (0, 0) and the focus is at (4, 0), this will be a parabola that opens to the right, since the parabola always curves around the focus. The standard form for a parabola of this type is 
, where h and k are the coordinates of the vertex, and p is the distance between the vertex and the focus. Our h and k are both 0, and our p distance is 4: 
. Cleaning that up a bit we get 
. And there you go!
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Answer: There are 6 bricks in the bag.
Step-by-step explanation:
Convert from mixed number to decimal number. To do it, divide the numerator of the fraction by the denominator and add the result to the whole number part. Then:
Convert from fraction to decimal number. To do it you need to divide the numerator by the denominator. Then, you get:
Let be "x" the number of bricks in the bag<em>.</em>
<em> </em>Based on the information given in the exercise, you can set up the following proportion:
Finally, you must solve for "x" in order to find its value. This is:
To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
Therefore, the measure of the triangle's angle is 60°
Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.
Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
The missing angle measure, angle x, equals 18°.
Hope this helps!
Therefore, the measure of the triangle's angle is 60°
Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.
Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
The missing angle measure, angle x, equals 18°.
Hope this helps!