ahmed got a better buy because he got toy for $4.1 each while robert got 3 for $4.3 each
Answer:
It will be in the attachment below.
Step-by-step explanation:
Translating a vertex 3 units down and 4 units to the left means that the x coordinate is 4 less than before and the y is 3 less. So, subtract 4 from -5 to get -9; from -2 (twice) to get -6 (twice), and subtract 3 from 5 (twice) to get 2 (twice); from 3 to get 0. So, the new coordinates are (-9, 2), (-6, 2), and (-6, 0). The original shape is in red, and the translated shape is blue.
Begin with cos(θ) = 5/13, θ in Quadrant IV
you should distinguish the 5-12-13 right-angled triangle
and then cosØ = adjacent/hypotenuse
x = 5, r = 13 , y = -12, since Ø is in IV
and sinØ = -12/13
also tan(ϕ) = −√15 = -√15/1 = y/x and ϕ is in II,
y = √15 , x = -1
r^2 = x^2 + y^2 = 15+1 = 16
r = 4
sinϕ = √15/4 , cosϕ = -1/4
you must know that:
cos(θ − ϕ) = cosθcosϕ + sinθsinϕ
= (5/13)(-1/4) + (-12/13)(√15/4)
= -5/52 - 12√15/52
= (-5-12√15)/52
Answer:
y=x
Step-by-step explanation:
We want a line parallel to y =x+42
The slope of y =x+42 is 1
Parallel lines have the same slope
We have the slope m=1 and a point (2,2)
We can use point slope form to write a line
y-y1 = m(x-x1)
y-2 = 1(x-2) point slope form
Changing to slope intercept form
y-2 = x-2
Add 2 to each side
y-2+2 = x-2+2
y=x
