Answer:
The answer is 122
Step-by-step explanation: 0.25 is the constant proportionality in this equation .
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Answer:
- slope = 3/2
- y-intercept = 3
- x-intercept = -2
Step-by-step explanation:
The slope is the coefficient of x when the equation is of the form ...
y = (something).
Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:
12x -8y = -24 . . . . . given
-8y = -12x -24 . . . . .subtract 12x
y = 3/2x +3 . . . . . . . divide by -8
This is the "slope-intercept" form of the equation. Generically, it is written ...
y = mx + b . . . . . . where m is the slope and b is the y-intercept
So, the above equation answers two of your questions:
slope = 3/2
y-intercept = 3
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The x-intercept is found fairly easily from the original equation by setting y=0:
12x = -24
x = -24/12 = -2 . . . . . the x-intercept
_____
A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.
Since the carton can hold 1000 units of the cubes.
Each unit of cube = 1inch * 1inch *1inch = 1inch³
Total volume = 1000 * 1inch³ = 1000 inch³
To get the dimension: The carton would take the shape of a cube.
Let each side be x.
x*x*x = 1000
x³ = 1000 Take the cube root of both sides.
∛x³ = ∛1000
x = 10
The dimension of the carton is 10 inches by 10 inches by 10 inches
Answer:
x=53
y=26
H=106
G=93
Step-by-step explanation:
By the inscribed quadrilateral conjecture:

Hope this helps!
Answer:
none
Step-by-step explanation:
We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.
According to the 'Law of Sines- Ambiguous Case', we have,
If a < b×sinA, then no triangle is possible.
If a = b×sinA, only one triangle is possible
If a > b×sinA, two triangles are possible.
So, we have,
b×sinA = 10 × sin30 = 10 × 0.5 = 5.
Now, as
4 = a < bsinA = 5.
We get, according to the rule, no triangle is possible.