Answer:
E. 7x
Step-by-step explanation:
3x plus 4x is equal to 7x because they both have the same terms and when added cannot the X of 3x and 4x cannot be joined together .
So they remain the same.
Answer:
- p = -3
- v: (4, -1)
- f: (4, -4)
- d: y = 2
Step-by-step explanation:
The equation ...
(x -h)² = 4p(y -k)
is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.
The vertex for equation ...
(x -4)² = -12(y +1)
is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.
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<em>Additional comment</em>
As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.
You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.
Answer:
12
Step-by-step explanation:
To solve this, we need to apply the rule that (a × b)ⁿ = aⁿ × bⁿ
In other words, if we multiply two numbers that are raised to same power, we will get the same value as their product raised to that power.
In the case of 18, if we break it down to primary factors, we get:
3 × 3 × 2
= 3² × 2
To get a perfect cube, we need each of those factors to become a perfect cube as well. To do that we simply multiply by:
3 × 2² (which equals 12)
giving us:
3² × 2 × 3 × 2²
= 3³ × 2³
If we solve that we get:
= 27 × 8
= 216
which is the cube of 2 × 3, or 6³.
So the number you had to multiply by was 12.
28 times 5 because volume= length times width times height. Brainliest?
Answer: 3 the actual answer is 2.995421844
Step-by-step explanation: