Answer:
Step-by-step explanation:
3. sin^2A + cos^2A = 1 (formula )
1 + tan^2 theta = sec^2 theta (derived from the formula sec^2 theta - tan^2 theta )
b.2x = 12 (by comparing the corresponding element)
x = 12/2
x = 6
3y = 12 (by comparing the corresponding element)
y = 12/3
y = 4
mean = sum of data / no of data
4+7+5+9+11+6 / 6
42 / 6
7
mean = 7
to find median arrange the data from ascending to descending order (from smallest to biggest)
data = 3,4,6,8,10,12
median = (N +1)/2 (N means no of data )
=6 + 1/2
=7/2
=3.5
=3 th term + 4 th term /2
=6 +8 / 2
=14/2
=7 median = 7
to find value of theta
90° + 50° + theta = 180° (sum of interior angles of a triangle)
140° + theta = 180°
theta = 180° - 140°
theta = 40°
therefore theta = 40°
Hope this helps u !!
Answers:
y intercept = -4
slope = -1
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Explanation:
The given equation is the same as y = -1x + (-4)
Compare this to y = mx+b form, and we see that
m = -1 is the slope
b = -4 is the y intercept
To graph y = -x-4, you could plot the two points (0,-4) and (1,-5) and draw a straight line through them. Extend the line as far as you can in either direction.
Notice how going from (0,-4) to (1,-5) follows the process "down 1, right 1" which is directly pulled from the slope = -1 = -1/1.
Answer:
Below.
Step-by-step explanation:
f(x) = |x| This is shaped like a V with the vertex at (0,0).
f(x) = |x| + 3 this is also shaped live a V with the vertex at (0, 3).
(This is |x| translated up 3 units).
f(x) = |x| - 6 similar to the above with the vertex at (0, -6).
(This is |x| translated down 6 units).
Answer:
Step-by-step explanation:
Step-by-step explanation:
(-13/3) / (-3/4) = 52/9 = 5 + 7/9.