Answer:
-5(g-3h+5)
Step-by-step explanation:
-5g+15h-25
-5(g-3h+5)
Answer:
x = 1
Step-by-step explanation:
Solve for x:
-103 x - 6 = -6 x - 103
Add 6 x to both sides:
6 x - 103 x - 6 = (6 x - 6 x) - 103
6 x - 6 x = 0:
6 x - 103 x - 6 = -103
6 x - 103 x = -97 x:
-97 x - 6 = -103
Add 6 to both sides:
(6 - 6) - 97 x = 6 - 103
6 - 6 = 0:
-97 x = 6 - 103
6 - 103 = -97:
-97 x = -97
Divide both sides of -97 x = -97 by -97:
(-97 x)/(-97) = (-97)/(-97)
(-97)/(-97) = 1:
x = (-97)/(-97)
(-97)/(-97) = 1:
Answer: x = 1
Answer:
33 feet
Step-by-step explanation:
We can draw a triangle in this situation.
<u>Note:</u>
The height of the tree is the side "opposite" of the 35 angle. The squirrel's distance of 47 feet from the base of the tree is the side "adjacent" to the angle.
Which trig ratio relates "opposite" and "adjacent"?
It is Tan
Thus we can write and solve (let height of tree be h):

To the nearest foot, the height of tree is about 33 feet
Answer:
.
Step-by-step explanation:
Start by finding the slope of the line perpendicular to
.
The slope of
is
.
In a plane, if two lines are perpendicular to one another, the product of their slopes would be
.
Let
denote the slope of the line perpendicular to
. The expression
would denote the product of the slopes of these two lines.
Since these two lines are perpendicular to one another,
. Solve for
:
.
The
is a point on the requested line. (That is,
and
.) The slope of that line is found to be
. The equation of that line in the point-slope form would be:
.
Rewrite this point-slope form equation into the slope-intercept form:
.