Answer:
x<48.84
Step-by-step explanation:
all work is shown
Answer:
The first option is correct.
Answer:
P' = (4, 4)
Step-by-step explanation:
T(x, y) is a function of x and y. Put the x- and y-values of point P into the translation formula and do the arithmetic.
P' = T(8, -3) = (8 -4, -3 +7) = (4, 4)
_____
<em>Comment on notation</em>
The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means <em>point P</em> has coordinates x=8, y=-3. The same form is used to define the translation function:
T(x, y) = (x -4, y+7)
In this case, T(x, y) is not point T, but is <em>a function named T</em> (for "translation function") that takes arguments x and y and gives a coordinate pair as a result.
Answer:
Yeah
Step-by-step explanation:
A=5w
if your finding area
Recall that
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
for all <em>θ</em>, and given that cos(<em>θ</em>) < 0, we find that
cos(<em>θ</em>) = -√(1 - sin²(<em>θ</em>)) = -√(1 - (2/5)²) = -√(21)/5
Now,
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = 1/(2/5) = 5/2
and
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>) = (-√(21)/5)/(2/5) = -√(21)/2