Answer: y = -1x + 8
Step-by-step explanation: linear equations must be written in the format
y = mx + b from.
m represents the slope which it -1
b represents the y-intercept which is 8.
Just substitute the slope and y-intercept in the m and b places and that is a linear equation.
To find volume, multiply length x width x height.
4 1/2 x 5 x 3 1/4
4.5 x 5 x 3.25 = 73.125
1/4 = 0.25
Divide the total of the large cube to the small cube.
73.125/0.25 = 292.5
292 and 1/2 of the small cube(s) are needed to fill the right rectangular prism.
hope this helps
Answer:
Step-by-step explanation:
Internal dimensions of the box will be smaller considering the thickness of the wood:
- 21 - 1 = 20 cm
- 11 - 1 = 10 cm
- 7 - 0.5 = 6.5 cm (open top)
<u>The volume is now:</u>
Answer: 18
Step-by-step explanation:
Using the Triangular Prism formula,
V=A (sub)B(sub) h
Solving for A (sub)B(sub)
A (sub)B(sub) = V/h = 162/9 = 18
Hope this helps...
Naturally, any integer

larger than 127 will return

, and of course

, so we restrict the possible solutions to

.
Now,

is the same as saying there exists some integer

such that

We have

which means that any

that satisfies the modular equivalence must be a divisor of 120, of which there are 16:

.
In the cases where the modulus is smaller than the remainder 7, we can see that the equivalence still holds. For instance,

(If we're allowing

, then I see no reason we shouldn't also allow 2, 3, 4, 5, 6.)