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
__
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.
Answer:
x = 6
Step-by-step explanation:
3 (2x - 5) = 21
=> 6x - 15 = 21
=> 6x = 21 + 15
=> 6x = 36
=> x = 36 / 6
=> x = 6
OR
3 (2x - 5) = 21
=> 2x - 5 = 21 / 3
=> 2x - 5 = 7
=> 2x = 7 + 5
=> 2x = 12
=> x = 12 / 2
=> x = 6
Hope it helps :)
Please mark my answer as the brainliest
Answer:
12
Step-by-step explanation:
12^2 is the greatest number that is closest to 148. then there is 4 as the smaller number 12-4=8
144+4=148
Answer:
114.3cm^3
Step-by-step explanation:
Square Pyramid Formulas derived in terms of side length a and height h: Volume of a square pyramid
V = (1/3)(Base area of a square)(Height of the square pyramid).
V = (1/3)area
hight
Area of the square
A = 7 x 7
A = 49
V = (1/3)49 x 7
V = (1/3)343
V = 114.(a repeating term)3
since we rounded
V = 114.3cm^3