Answer:
C. $25
Step-by-step explanation:
We will find,
The slope of the function using 
.
Taking the points (1,40) and (2,55).
Slope = 
i.e. Slope = 
i.e. Slope = 15
Substituting the slope and point (1,40) in the equation 
,
We have, 
i.e. 
i.e. b= 25
Thus, the equation of the linear function is 
.
<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>
So, the initial value of the comic book is when x= 0.
So, 
i.e. y= 25
Hence, the cost of the book when Lucy purchased it was $25.
Answer:
6
Step-by-step explanation:
P (5-3) =2
E X
M 2 x 4 =8
D X
A X
S 8 - 2 =6
The <em>xy</em>-plane has a normal vector of 〈0, 0, 1〉, and any plane parallel to it will have the same normal vector.
Then the equation of the plane through (6, 3, 2) that is parallel to the <em>xy</em>-plane has equation
〈<em>x</em> - 6, <em>y</em> - 3, <em>z</em> - 2〉 • 〈0, 0, 1〉 = 0
==> <em>z</em> - 2 = 0
==> <em>z</em> = 2
check the picture below.
now, if we split that triangle like so with that red line, we can use the right-triangle there, to get θ.
Answer:
4 feet
Step-by-step explanation:
We start by subtracting the 6 from the 14, to get the leftover space on the wall, 8 feet. We then divide that by two, since if the painting is centered there will be two equally-sized spaces on either side of it. This means that X = 4 feet.
