Answer:
Hope this helps
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
Rewrite the function as an equation.
y
=
5
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
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The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
5
b
=
−
4
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
5
y-intercept:
−
4
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
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Choose
1
to substitute in for
x
to find the ordered pair.
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Replace the variable
x
with
1
in the expression.
f
(
1
)
=
5
(
1
)
−
4
Simplify the result.
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1
The
y
value at
x
=
1
is
1
.
y
=
1
Choose
0
to substitute in for
x
to find the ordered pair.
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Replace the variable
x
with
0
in the expression.
f
(
0
)
=
5
(
0
)
−
4
Simplify the result.
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−
4
The
y
value at
x
=
0
is
−
4
.
y
=
−
4
Create a table of the
x
and
y
values.
x
y
0
−
4
1
1
Graph the line using the slope and the y-intercept, or the points.
Slope:
5
y-intercept:
−
4
x
y
0
−
4
1
1
Step-by-step explanation:
Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
