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:
∠DCF = 129°
Step-by-step explanation:
We assume that line CE is between lines CD and CF.
The angle sum theorem applies:
∠DCF = ∠DCE +∠ECF
∠DCF = 75° +54°
∠DCF = 129°
Is it possible with only letters
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(3*x^3+8*x^2+5*x-7)=0
Step by step solution :Step 1 :Equation at the end of step 1 : x-((((3•(x3))+23x2)+5x)-7) = 0 Step 2 :Equation at the end of step 2 : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step 3 :Step 4 :Pulling out like terms :
4.1 Pull out like factors :
-3x3 - 8x2 - 4x + 7 =
-1 • (3x3 + 8x2 + 4x - 7)
Checking for a perfect cube :
4.2 3x3 + 8x2 + 4x - 7 is not a perfect cube
Trying to factor by pulling out :
4.3 Factoring: 3x3 + 8x2 + 4x - 7
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 3x3 - 7
Group 2: 8x2 + 4x
Pull out from each group separately :
Group 1: (3x3 - 7) • (1)
Group 2: (2x + 1) • (4x)
Please 5 star and like. Appreciated
Rule T < - 7, - 8>
=>
- 7 means shift 7 units to the left
- 8 means shift 8 units down
Therefore, the answer is 7 units to the left and 8 units down
