Answer:
13
Step-by-step explanation:
Use the Pythagorean theorem:
- a^2 + b^2 = c^2
- 5^2 + 12^2 = c^2
- 25 + 144 = c^2
- c^2 = 169
- 13
Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.
Find the volumes of each separate rectangular prism, (top) 9 x 4 x 12 = 432 cubic meters, (bottom) 10x2x2 = 40 cubic meters, and then add them together to get the overall volume, 40+432 = 472 cubic meters. the strategy is using length times width times height, LxWxH.
Answer:
Step-by-step explanation:
We can rewrite the square root of negative 18 as 
. We can evaluate these two quantities separately. The square root of 18 can be factored to get 3 squared times 2. We can take the 3 out to get 
. Now, the square root of negative one can be rewritten as 
, so this is equal to
Answer:
C
Step-by-step explanation:
Direct variation is a special case of first order equations; in both cases, the input is multiplied by a constant which we call the "slope" or "constant of variation." However, no direct variation equation includes a constant ("y-intercept"). So, if a given equation does have a y-intersect, that equation does not represent direct variation; if it does NOT have a y-intercept, that equation represents direct variation.
A) involves a constant term, -2; NOT direct variation
B) involves a constant term, 10; NOT direct variation
C) Here 3y = x, or y = x/3, involves no constant term, so Does represent direct variation
D) involves a constant term -3; NOT direct variation
