We know that
sec²θ=tan²θ+1-------> tan²θ=> sec²θ-1
sec θ = (√37)/6
tan²θ=> [(√37)/6]²-1--------> (37/36)-1-------> 1/36
tanθ=√(1/36)--------> 1/6
remember that
sec θ = 1/ cos θ
the cos θ is > 0
and
the sin θ < 0
so the angle θ belong to the fourth quadrant-------> tan θ is negative
therefore
the answer is
tan θ=-1/6
Answer:
x = 8
y = 21
Step-by-step explanation:
The angle (7x + 12)° and the angle (12x-28)° are alternate interior angles and so has got the same measurement
7x + 12 = 12x - 28
12 + 28 = 12x - 7x
40 = 5x divide both sides by 5
8 = x
The sum of angle (12x - 28)° and (9y - 77)° must be equal because they make a straight line with the measure of 180°
12x - 28 + 9y - 77 = 180 we already found the value of x as 8 so let's rewrite the equation
12 × 8 - 28 + 9y - 77 = 180
96 - 28 - 77 = 180 add like terms
9y - 9 = 180
9y = 189 divide both sides by 9
y = 21
Answer:
n = -15/8
Step-by-step explanation:
You can transform this into an easier equation by performing cross-multiplication:
(ie. topleft times bottomright = bottomleft times topright)
so n = -30/16 = -15/8
Answer:
1/2
Step-by-step explanation:
just count graph it will give I 1/3
Answer:
(-1, 5)
(0, 3)
(2, -1)
Step-by-step explanation:
we have
Remember that
If a ordered pair is a solution of the given function, then the ordered pair must satisfy the given function
<u><em>Verify each case</em></u>
case a) (-2, -1)
substitute the value of x and the value of y in the given function and compare the result
---> is not true
therefore
Is not a ordered pair of the given function
case b) (-1, 5)
substitute the value of x and the value of y in the given function and compare the result
---> is true
therefore
Is a ordered pair of the given function
case c) (0, 3)
substitute the value of x and the value of y in the given function and compare the result
---> is true
therefore
Is a ordered pair of the given function
case d) (1,0)
substitute the value of x and the value of y in the given function and compare the result
---> is not true
therefore
Is not a ordered pair of the given function
case e) (2, -1)
substitute the value of x and the value of y in the given function and compare the result
---> is true
therefore
Is a ordered pair of the given function