Answer:
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Step-by-step explanation:
An extension of the Pythagorean Theorem results in what is the so-called "distance formula".
d^2=(x2-x1)^2+(y2-y1)^2, in this case you have points (-2,4) and (2,0) so:
d^2=(2--2)^2+(0-4)^2
d^2=4^2+(-4)^2
d^2=16+16
d^2=2*16
d=√32 units
d=√(2*16)
d=4√2 units
d≈5.66 units (to nearest hundredth of a unit)
Answer:
Step-by-step explanation:
Find the absolute value vertex. In this case, the vertex for
y
=
|x
−
2
|
+
1
is (
2
,
1
)
.
To find the x coordinate of the vertex, set the inside of the absolute value
x
−
2 equal to 0
. In this case,
x
−
2
=
0.
x−2
=
0
Add 2 to both sides of the equation.
x
=
2
Replace the variable x with 2 in the expression.
y
=
|
(
2
)
−
2
|
+
1
Simplify
|
(
2
)
−
2
|
+
1
.
Simplify each term.
Subtract 2 from 2
y
=
|
0
|
+
1
The absolute value is the distance between a number and zero. The distance between 0 and 0 is 0
.
y
=
0
+
1
Add 0 and 1
.
y
=
1
The absolute value vertex is (
2
,
1
)
.
(
2
,
1
)
Answer:
86
Step-by-step explanation:
