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:
112
Step-by-step explanation:
This is a cyclic quadralterial. A cyclic quadralterial is a quadralterial that is inscribed in a circle where all the point or vertices of the quadralterial touches the circle circumference. Opposite angles in a cyclic quadralterial are supplementary.
Angle R and Angle QPS or P is supplementary since they are opposite angle.
Substitute 68 for R
So the answer is 112
Answer:
(1, 10 )
Step-by-step explanation:
Given the 2 equations
- 9x - y = - 19 → (1)
5x + y = 15 → (2)
Adding the 2 equations term by term will eliminate the y- term
- 4x + 0 = - 4
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
5(1) + y = 15
5 + y = 15 ( subtract 5 from both sides )
y = 10
solution is (1, 10 )
Answer:
Formula for the Arc length is given by:
As per the statement:
radius of circle(r) = 6 units
Angle () = radian
Use conversion:
=
then;
substitute these given values we have;
Use value of
or
Simplify:
Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units
The answer to the above question can be determined as -
Let the point on the left side of P be Q, thus coordinates of Q are (a,1) and point on the right side of P be R, thus coordinates of R will be, (a+4, 1).
Now, it given that, between x coordinates of Q and R is 4, and it can be seen that they are getting divided into half.
So, the x coordinate of P will be - a + i.e. a + 2
<u>Thus, the x coordinate of P will be a +2.</u>