Wow ! There's so much extra mush here that the likelihood of being
distracted and led astray is almost unavoidable.
The circle ' O ' is roughly 98.17% (π/3.2) useless to us. The only reason
we need it at all is in order to recall that the tangent to a circle is
perpendicular to the radius drawn to the tangent point. And now
we can discard Circle - ' O ' .
Just keep the point at its center, and call it point - O .
-- The segments LP, LQ, and LO, along with the radii OP and OQ, form
two right triangles, reposing romantically hypotenuse-to-hypotenuse.
The length of segment LO ... their common hypotenuse ... is the answer
to the question.
-- Angle PLQ is 60 degrees. The common hypotenuse is its bisector.
So the acute angle of each triangle at point ' L ' is 30 degrees, and the
acute angle of each triangle at point ' O ' is 60 degrees.
-- The leg of each triangle opposite the 30-degree angle is a radius
of the discarded circle, and measures 6 .
-- In every 30-60 right triangle, the length of the side opposite the hypotenuse
is one-half the length of the hypotenuse.
-- So the length of the hypotenuse (segment LO) is <em>12 </em>.
Answer: good luck
Step-by-step explanation:Step 1) Because the first equation is already solved for
y
we can substitute
3
x
+
8
for
y
in the second equation and solve for
x
:
8
x
+
4
y
=
12
becomes:
8
x
+
4
(
3
x
+
8
)
=
12
8
x
+
(
4
⋅
3
x
)
+
(
4
⋅
8
)
=
12
8
x
+
12
x
+
32
=
12
(
8
+
12
)
x
+
32
=
12
20
x
+
32
=
12
20
x
+
32
−
32
=
12
−
32
20
x
+
0
=
−
20
20
x
=
−
20
20
x
20
=
−
20
20
20
x
20
=
−
1
x
=
−
1
Step 2) Substitute
−
1
for
x
in the first equation and calculate
y
:
y
=
3
x
+
8
becomes:
y
=
(
3
⋅
−
1
)
+
8
y
=
−
3
+
8
y
=
5
The solution is:
x
=
−
1
and
y
=
5
or
(
−
1
,
5
)
Answer:
Can you be more specific, like y is what and k is what because it tells us what x is but not the rest.
Step-by-step explanation:
48.5 (bigger dog's weight) − 24.8 (smaller dog's weight) = 23.7 pounds (the difference between the two)
Answer:
The first one. Top left.
Step-by-step explanation:
The top right one makes a triangular prism.
I don't even know if the bottom right is even a thing.
The bottom left is a cube.
