Answer:
<em>C. -4.01</em>
<em>H. -7</em>
Step-by-step explanation:
<u>Solving inequalities:</u>
We have a set of numbers to verify which ones of them make the below inequality true

Rearrange

Operating

Flipping

The set of solutions contains every number less than -4
There are only two numbers less than -4 in the set of options:
C. -4.01
H. -7
m = -1
-5 = 8m + 12/4
-5 - 12/4 = 8m
4(-5) - (12/4) = 4(8m)
*to remove the denominator, multiply each figure by 4.
-20 -12 = 32m
-32 = 32m
-32/32 = 32m/32
-1 = m
m = -1
To check:
-5 = 8m + 12/4
-5 = 8(-1) + 3
-5 = -8 + 3
-5 = -5
Use distributive property <em>a(b + c) = ab + ac</em>
4(x + 2) - 3(7 + y) = (4)(x) + (4)(2) + (-3)(7) + (-3)(y)
= 4x + 8 - 21 - 3y = 4x - 3y - 13
Answer:
-2
Step-by-step explanation:
We want to evaluate;

We use the reciprocals of trigonometric ratios to obtain;

The 960 degree angle makes an angle of 60 degree with the positive direction of the x-axis and it is in the 3rd quadrant.
This implies that;

We use special trigonometric ratios to obtain;

