Answer:
No
Step-by-step explanation:
Price after the socks is marked up = $40 + $5 = $45
If the sock is discounted by 40%, the price of the socks would be 60% of the original price
0.6 x $45 = 27
The discounted price is $27
Answer:
1,000,000,000
Step-by-step explanation:
Answer:
sec Θ = 
Step-by-step explanation:
Using the trigonometric identity
sec²Θ = tan²Θ + 1
Since 270° < Θ < 360° ← that is fourth quadrant, then
sec Θ > 0, thus
sec²Θ = (- 
)² + 1 = 
+ 1 = 
, then
sec Θ = 
=
Answer:
A) 34x²
Step-by-step explanation:
6x * 7x = 42x²
2x * 4x = 8x²
42x - 8 x = 34x²
Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
