Answer:
(1/4, ln(1/2))
Step-by-step explanation:
The slope of the given line is -1/4, so the perpendicular line will have a slope of -1/(-1/4) = 4.
The slope of the given function is its derivative:
y' = 2/(2x) = 1/x
That will have a value of 4 when x = 1/4.
The point on the graph where the slope is 4 is (x, y) = (1/4, ln(1/2)).
Step-by-step explanation:
x cos θ + y sin θ = x cos β + y sin β
<em>Let's say x = cos A, and y = sin A.</em>
cos A cos θ + sin A sin θ = cos A cos β + sin A sin β
<em>Use angle sum formula.</em>
cos(A − θ) = cos(A − β)
A − θ = ±(A − β)
A − θ = β − A
2A = θ + β
A = (θ + β) / 2
cot A = cot((θ + β) / 2)
x/y = cot((θ + β) / 2)
Answer:
b
Step-by-step explanation:
i would wait until someone eltse answers just to be sure
Answer:
x = -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Step-by-step explanation:
AREA FORMULA: LENGTH * WIDTH
L*W=30
L=W+4 thus
(W+4)W=30
W^2+4W=30
W^2+4W-30=0
USING THE QUADRATIC EQUATION WE GET
X=(-B+-SQRT[B^2-4QC])/2A
X=(-4+-SQRT16-4*1*-30])/2*1
X=(-4+-SQRT16+120])/2
X=(-4+-SQRT136)/2
X=(-4+-11.66)/2
X=(-4+11.66)/2
X=7.66/2
X=3.83M IS THE WIDTH.
THUS THE LENGTH IS
L*3.83=30
L=30/3.83
L=7.83M IS THE LENGTH
