The answer is A SSS because
Answer:
Option B
Step-by-step explanation:
Let the point O is the origin.
Then the coordinates of the vertices A,B and C will be,
A → (-12, -8)
B → (-8, 0)
C → (-6, -4)
Rule for the dilation of a point (x, y) by scale factor 'k' about the origin is,
(x, y) → (kx, ky)
By this rule, coordinates of the vertices of the image triangle will be,
If k =
,
A(-12, -8) → A'(-6, -4)
B(-8, 0) → B'(-4, 0)
C(-6, -4) → C'(-3, -2)
From the given options,
Option B is the answer.
We have the following:

solving for x

The solution of x is equal to 28, therefore 12 is not a solution of the equation
Answer:
The resulting graph is
.
Step-by-step explanation:
The resulting function is of the form:

Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Amplitude, dimensionless.
- Midpoint value, dimensionless.
The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is:
. According to the graph, the function is bounded between 5 (
) and -5 (
), and the midpoint value (
) is 0. The amplitude is determined by the following calculation:

If
and
, then:

The resulting graph is
.