Answer:
D. S’ is the result of switching coordinates of S.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is A'(-y, x).
Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90° counterclockwise about the origin, the new point is at S'(y, x). S’ is the result of switching coordinates of S
Answer:
260x = 170
x=170/260 * 100% = 65.4 %
Step-by-step explanation:
Answer: -2, 2
Step-by-step explanation:
0 = 5x^2 -20
0 = 5(x^2 -4)
0 = 5(x - 2)(x + 2)
0 = x - 2
2 = x
0 = x + 2
-2 = x
Answer:
23
Step-by-step explanation:
With f(4), we plug 4 into the function.
f(4) = 4² + 7
f(4) = 16 + 7
f(4) = 23
Answer:
0 ≤ t ≤ 5.
Step-by-step explanation:
In the function
,
is the independent variable. The domain of
is the set of all values of
that this function can accept.
In this case,
is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,
.
.
The first condition is an inequality about
, which is indeed the independent variable.
However, the second condition is about
, the dependent variable of this function. It has to be rewritten as a condition about
.
.
Hence, t ≤ 5.
Combine the two inequalities to obtain the domain:
0 ≤ t ≤ 5.