Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)
Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.
Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
Answer:
$-6
Step-by-step explanation:
$(8-14)
= $-6
Hope this helped!
There is 8 pints in 1 gallon so 12x8=96
96 pints to fill a 12 gallon pot
Answer: 107 degrees.
Step-by-step explanation:
A quadrilateral is defined as a 2-dimensional closed shape which has four sides and four vertices.
By definition the interior angles of a quadrilateral add up 360 degrees.
We know that this quadrilateral has 2 right angles (which are angles that measure 90 degrees) and we know that the measure of the third angle is 73 degrees.
Let be "x" the measure of the fourth angle.
Then you can write this expression:
And finally solve for "x":
Answer:
see explanation
Step-by-step explanation:
f(x) × g(x)
= 11(123x - 40) ← distribute
= 1353x - 440
Substitute x = - 4 into the product
= (1353 × - 4) - 440
= - 5412 - 440
= - 5852
