Answer:
17.5
Step-by-step explanation:
y=kx
35 = k(140)
k = 0.25
(k is constant of proportionality)
y = (0.25)(70)
y=17.5
The answer is B. 0.25 inch. Lets multiply all of them by the same factor. Since A. and B. have 3 decimals, lets divide all numbers by 1000: A. 0.026 * 1000 = 26, B. 0.25 * 1000 = 250, C. 0.24 * 1000 = 240, D. 0.025 * 1000 = 25. So, by comparing the whole numbers, it can be concluded that the biggest steel rod is B. 0.25 inch.
Answer:
Step-by-step explanation:
The 9th term is the next-to-last term, where the left term of the binomial is raised to the first power, the right term of the binomial is raised to the 8th power (9-1=8), and the multiplier is 9C8 = 9!/(8!·1!) = 9. This product is ...
9·(3x)^1·(-2y)^8 = 6912xy^8
A, basic calculator math hope this helps
Answer:
Vertex = (-4,-5)
P-value = -2
Opens Downward
Step-by-step explanation:
Given:
- Focus = (-4,-7)
- Directrix = -3
Since focus is less than directrix, the parabola obviously opens downward.
To find vertex (h,k), for downward parabola, focus is (h, k + p) and directrix is y = k - p
We have:

First equation being focus and second being directrix, solve the simultaneous equation:

Substitute k = -5 in any equation - I’ll choose (1) for this:

Therefore vertex is at (h,k) = (-4,-5) with p-value being -2 since p < 0 then the parabola opens downward.
Attachment added for visual reference