The content of the square root must be greater than or equal to zero. Determine the conditions on x that make this true.
As written, you require
.. x ≥ 0
If you intend
.. √(x -1) ∈ ℝ
Then
.. x -1 ≥ 0
Solve this inequality by adding 1.
.. x ≥ 1
Answer:
Translation 4 units to the left., followed by
a translation 1 unit down.
Step-by-step explanation:
The parent function is y = x^2 which is a parabola that opens upwards and has a vertex at the point (0,0).
Y = (x + 4)^2 is the graph of x^2 translated 4 units to the left.
The - 1 translates the graph down 1 unit.
So the vertex of the new graph is at (-4, 1).
As We can see that point J is on (-2,5) and L is on (-2,-2)
So we know that distance cannot be in negative, thus
Distance between J and L =5+2=7 units
JL=7
<em>Answer:</em>
<em>n = 12</em>
<em>Step-by-step explanation:</em>
<em>85%×n = 10.2</em>
<em>85n/100 = 10.2</em>
<em>85n = 1020</em>
<em>n = 1020 : 85</em>
<em>n = 12</em>
Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
There are two basic relations of angles we need to recall:
- Supplementary angles add up to 180°
- Internal angles of a triangle add up to 180°
Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:
c = 180 - ( a + b )
Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus
c = 180 - d
From the two relations above, it follows that:
a + b = d
