CLOTHING A online retailer is running a special on jeans. All pairs of jeans are $39. The function f(x) = 39x models the total c
1 answer:
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Answer:
y = x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
The line crosses the y- axis at (0, 1) ⇒ c = 1 , then
y = x + 1 ← equation of perpendicular line
Answer:
The value of q and p is 4 and -24 respectively.
Step-by-step explanation:
Being , the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.
Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:
x - q= 0
Solving:
x= q
Being the line x=4 the vertical asymptote, then
<u><em>4=q</em></u>
Then the function f (x) is:
The y intercept is (0,4). This is, x= 0 and y=4. Replacing:
Solving:
4*(-4)= p+8
-16= p+8
-16 - 8= p
<u><em>-24= p</em></u>
<u><em>The value of q and p is 4 and -24 respectively.</em></u>
Answer:
See below
Step-by-step explanation:
The number you described is the same as where the sine of an angle is the ratio between a right triangle's opposite side to the angle and the hypotenuse. So, in this case, if we had a right triangle with a height of
units and a hypotenuse of 2 units, the ratio between the two sides will result in the value you provided. This right triangle in particular would be a 30-60-90 triangle.
In the case of a unit circle, it’s the y-coordinate of the point where a 60° angle in the standard position intersects a unit circle and a right triangle is created from that.
