Answer:
8/15
Step-by-step explanation:
For right triangles tan p = opposite leg / adjacent leg
tan p = 24 /45 = 8/15
X = 35
use the formula a^2 + b^2 = c^2 in order to find the hypotenuse, which is x.
21^2 + 28^2 = c^2
441 + 784 = c^2
1225 = c^2
35 = c
x = 35
Answer:
Step-by-step explanation:
2^-4 = 1/(2x2x2x2)= 1/16
2^5= 2x2x2x2x2= 32
5^3 = 5x5x5= 125
5^-2 = 1/(5x5)= 1/25
Answer with Step-by-step explanation:
We have to prove that
is true for all sets A and B
Let 
Then
or 
and
or 
Hence,
Conversely ,Let 
Then x belongs to A and x does not belongs to B then
x belongs to A- B
Or x belongs to A and x belongs to B then x belongs to 
Hence, 
Therefore, 
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.