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
)
Amplitude is 4. Take the absolute value of value a
Answer:
We have 8 liters of 54% alcohol.
We will add "x" liters of 66% alcohol to make "8 +x" liters of 65% alcohol.
54 * 8 + 66 x = 65 (8 + x)
432 + 66x = 520 + 65x
x = 88 liters
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
like terms are terms which have the same variable , that is
10x and - 5x are like terms, they both have the same variable x
Answer:
y = 28
Step-by-step explanation:
since this is an Isosceles triangle (x - 5)° must be equal to 34°
x - 5 = 34
x = 39
the sum of interior angles in a triangle is equal to 180°
if the two angles 34 + 34 = 68
Then the third angle is 180 - 68 = 112°
4y = 112
y = 28