Answer: Hope This Helps!
Step-by-step explanation:
Use the distance formula to calculate the side length of each side of the triangle. If any 2 sides have equal side lengths, then the triangle is isosceles.
More precise info: Given the coordinates of the triangle's vertices, to prove that a triangle is an isosceles plot the 3 points (optional) use the distance formula to calculate the side length of each side of the triangle. If any 2 sides have equal side lengths, then the triangle is isosceles.
Answer:
Step-by-step explanation:
L
H
S
=
cos
4
x
=
2
cos
2
(
2
x
)
−
1
=
2
(
cos
(
2
x
)
)
2
−
1
=
2
(
2
cos
2
x
−
1
)
2
−
1
=
2
(
4
cos
4
x
−
4
cos
2
x
+
1
)
−
1
=
8
cos
4
x
−
8
cos
2
x
+
2
−
1
=
8
cos
4
x
−
8
cos
2
x
+
1
=
R
H
S
Again
L
H
S
=
cos
4
x
=
2
cos
2
(
2
x
)
−
1
=
2
(
1
−
2
sin
2
x
)
)
2
−
1
=
2
(
1
−
4
sin
2
x
+
4
sin
4
x
)
−
1
=
2
−
8
sin
2
x
+
8
sin
4
x
−
1
=
8
sin
4
x
−
8
sin
2
x
+
1
=
R
H
S
sin
2
x
+
cos
2
x
=
1
cos
2
x
=
1
−
sin
2
x
substitute in the equation as follows
8
cos
4
x
−
8
cos
2
x
+
1
=
8
cos
2
x
(
cos
2
x
−
1
)
+
1
=
8
(
1
−
sin
2
x
)
(
1
−
sin
2
x
−
1
)
+
1
=
8
(
1
−
sin
2
x
)
(
−
sin
2
x
)
+
1
=
8
sin
4
x
−
8
sin
2
x
+
1
Okie dokie,
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the
tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a
10.
(mobile) 5/10 or

Now, decide if you can simplify. You can! 5/10 simplifies down to
1/2.

is your answer!
--------
Example for the
hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over
100!26/100 or

You can simplify this!
13/50 is your answer!
Calculators can also come in handy!
Good luck!
Answer:
29 students
Step-by-step explanation:
divide by 7 to get 1/9 then multiply by 9 to get total.
Answer:
51
Step-by-step explanation:
plug in
8(6)- (-3)
48-(-3)
51