Answer:
The point slope equation is: y - y1 = m (x - x1)
m = slope
Step-by-step explanation:
To use this equation, you need to know:
-<u> </u><u>one point on the line</u>
-<u> the slope of the line</u>
<u>First</u>:
(x1,y1) = a known point on the line
m = the slope
(x,y) = any other point on the line
<u>Now</u>:
we plug the numbers into the equation to get y - y1 = m (x - x1)
<u>Then</u>:
you solve the equation
L=16
W=21
Set up a systems of equations:
x=length
y=width
xy=336
x+5=y
Use substitution to solve:
x(x+5)=336
x^2+5x=336
Solve using factoring:
x^2+5x-336=0
(x-16)(x+21)=0
x=16 and x= -21
Since length can't be negative, l=16
To find width, plug length into the first equation:
(16)y=336
y=21
So...
L=16
<span>W=21</span>
A polynomial expression can only be categorized into a function if and only if a single input can only have one and only output. This means that there should be no more than one dissimilar values of y for the same value of x.
Evaluating the givens above, it can be observed that there are two -1's as an x-coordinate and it has two outputs, 0 and 1. Thus, we can remove either (-1,0) or (-1,1) for the relationship to become a function.
Answer:
Step-by-step explanation:sin
(
θ
)
=
40
41
Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
sin
(
θ
)
=
opposite
hypotenuse
Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.
Adjacent
=
√
hypotenuse
2
−
opposite
2
Replace the known values in the equation.
Adjacent
=
√
(
41
)
2
−
(
40
)
2
Simplify
√
(
41
)
2
−
(
40
)
2
.
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Adjacent
=
9
Find the value of cosine.
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cos
(
θ
)
=
9
41
Find the value of tangent.
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tan
(
θ
)
=
40
9
Find the value of cotangent.
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cot
(
θ
)
=
9
40
Find the value of secant.
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sec
(
θ
)
=
41
9
Find the value of cosecant.
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csc
(
θ
)
=
41
40
This is the solution to each trig value.
sin
(
θ
)
=
40
41
cos
(
θ
)
=
9
41
tan
(
θ
)
=
40
9
cot
(
θ
)
=
9
40
sec
(
θ
)
=
41
9
csc
(
θ
)
=
41
40
The value is 57 of you minus and divide the values