Answer:
8 / 15
Step-by-step explanation:
By Pythagoras theorem,
OP² + PQ² = OQ²
OP² + 8² = 17²
OP² = 17² - 8²
= 289- 64
OP² = 225
OP² = 15²
OP = 15
Formula : -
Tan θ = Opposite side / Adjacent side
Here,
θ = Q
Opposite side = PQ = 8
Adjacent side = OP = 15
Tan Q = 8 / 15
Answer:
D) -2
Step-by-step explanation:
to identify the slope of a line written in slope-intercept form, it would be
the coefficient of the 'x' term
Here's a table of the function y=-2x-3
Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
Tan x degrees = 31
To find X use arctan.
x = arctan(31)
x = 88.15
x = 88.2 (rounded to the nearest tenth)
