Answer:
4.
Step-by-step explanation:
(sec α - tan α)(sec α + tan α) = sec^2 α - tan^2α
But sec^2 α = 1 + tan^2 α so
sec^2 α - tan^2α = 1 + tan^2 α - tan^2α
= 1
so 1 = (sec α - tan α)(sec α + tan α) = 1/4 * x where x is sec α + tan α
1/4 * x = 1
x = 4.
Answer:
60+2x≥300
Step-by-step explanation:
So we know that she makes a base of $60 a week and gets $2 extra for every item she sells. First, we set up an equation for how many items she would have to sell to make exactly $300 in a week. 60+2x=300. Now, all we do is replace the equal sign with a ≥ sign because it says at least which means more than or equal to.
two thousand ten and eight tenths
A snack-size bottle of chocolate milk is better because it cost less.
Answer:
y= -3x +6
Step-by-step explanation:
<u>slope-intercept form</u><u>:</u>
y=mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -3, m= -3.
Susbt. m= -3 into the equation:
y= -3x +c
Since the line passes the point (4, -6),
(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.
y= -3x +c
when x=4, y= -6,
-6= -3(4) +c
-6= -12 +c
c= 12 -6
c= 6
Hence, the equation of the line is y= -3x +6.
