Answer:
Step-by-step explanation:
y=mx+c
where m is the gradient and c is the y-intercept of the line
Let's find the gradient of the line first.
Using the above formula,
Subst. the gradient into m:
Now, find the value of c by substituting a coordinate into the above equation.
when x=-1, y=3,
Therefore the equation of the line is
- 1 < - x/3 < 1
1st. Multiply all parts by 3:
-3 < - 3x/3 < 3. Simplify the mid term:
-3 < -x < 3. Now multiply all terms by - 1. Note when you multiply by a negative number, you flip the inequality signs:
(-1)(-3) < (-1)(-x) < (-1)(3)
+3 > x> -3
Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
Step-by-step explanation:
here, given points are
(-2,-1),(-5,-3),(-5,-4)
now
(X,y)________ (-y,X)
(-2,-1)________ (1,-2)
(-5,-3)________ (3,-5)
(-5,-4)________ (4,-5)
now plot the points in the graphs
-- Supplementary angles add up to 180 degrees.
48 + S = 180
S = 180 - 48 = <em>132 degrees</em>
-- Complementary angles add up to 90 degrees.
48 + C = 90
C = 90 - 48 = <em>42 degrees</em>
