Answer:
20
Step-by-step explanation:
AB = √(-4)² + (-3)²
AB = √ 16 + 9
AB = √ 25
AB = 5
AD = 4 ; DC = 4 ; BC = 7
Perimeter = 5 + 4 + 4 + 7 = 20 units
Answer:
6x + 3
Step-by-step explanation:
8x - 2x + 7 -4
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Measurement of Angle LOK = 82 degrees.
Solve for x.
Answer:
x = 14
Step-by-step explanation:
<LOJ = 3x
<KOJ = (2x + 12)°
<LOK = 82°
m<LOJ + m<KOJ = m<LOK (angle addition postulate)
3x + 2x + 12 = 82 (substitution)
5x + 12 = 82
5x = 82 - 12 (Subtraction property of equality)
5x = 70
x = 70/5 (division property of equality)
x = 14
Answer:
The graph of f(x) shifts 5 units right and 9 units down to graph g(x).
Step-by-step explanation:
The general form of the parabola is
Where, (h,k) is the vertex of the parabola and a is stretch factor.
The parent function is
The vertex of the parabola is (0,0).
The given function is
The vertex of the parabola is (5,-9).
The vertex of the parabola shifts from (0,0) to (5,-9), therefore the graph of f(x) shifts 5 units right and 9 units down to graph g(x).
The value of is 2.
It is given that,
Explanation:
We have,
Substitute in the above function.
Thus, the value of is 2.
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Answer:
h(0) is equal to 2.
Step-by-step explanation:
In order to find this, we first put 0 in for x in the g(x) equation.
g(x) = 2x - 1
g(0) = 2(0) - 1
g(0) = -1
Now that we have this, we can stick the answer for g(x) into the f(x) equation.
f(x) = 1 - g(x)
f(x) = 1 - -1
f(x) = 1 + 1
f(x) = 2