Answer:
x = 120°
Step-by-step explanation:
We are given;
sec²x + 4secx = -4
Rearranging gives;
sec²x + 4secx + 4 = 0
Factorizing the left hand side gives;
(sec x + 2)(sec x + 2) = 0
This means that;
(sec x + 2) = 0
From trigonometry, we know that sec x = 1/cos x
Thus;
(1/cos x) + 2 = 0
1/cos x = -2
cos x = -1/2
cos x = -0.5
x = cos^(-1) -0.5
x = 120°
Answer:
C
Step-by-step explanation:
x=m(p-q)
Dividing both sides by m
x/m=p-q
OR
p-q=x/m
Now subtract p to both sides
-q=(x/m)-p
Now
Divide both sides by -1
q=p-(x/m)
Answer:
2
Step-by-step explanation:
f(5) will fall in the interval x≥5 and its corresponding function is:
f(x) = 6x - 28
∴ f(5)= 6*5 - 28 = 30 - 28 = 2
Answer: 3 (first choice)
A power to a power gives a multiplication of powers, e.g.,
(7¹⁰)² = 7²⁰
So the left side is 7²⁰ / 7⁴ and we divide the top and bottom by 7 get we
(7¹⁰)² / 7⁴ = 7²⁰ / 7⁴ = 7¹⁹ / 7³
We compare that to the right side 7¹⁹ / 7ˣ and it's clear x=3.