Answer:
Image point → (13, -3)
Step-by-step explanation:
Rule for the translation of a point (x, y) by shifting 'a' units right and 'b' units down is,
(x, y) → (x + a, y - b)
If a point (-1, -8) has been translated by 4 units right and 5 units down,
(-1, -8) → (-1 + 4, -8 - 5)
→ (3, -13)
Followed by reflection across a line y = -x.
Rule for the reflection of a point (x, y) about a y = -x is,
(x, y) → (-y, -x)
Therefore, reflection of the point (3, -13) will produce an image point as,
(3, -13) → (13, -3)
Hence, image point by the transformations given will be (13, -3).
Answer:
Alcohol intake
Step-by-step explanation:
The Independent variable also called the predictor variable may be described as the treatment which is given a subject or factors which is expected to induce a change in our measured variable which is called the predicted or dependent variable. During research, the test various factors which are expected to cause a change are the independent variable, whereas, the variable which is measured as a result of the changes caused due to the different independent variables is the dependent variable. In the scenario above, we wish to measure braking speed after the subjects have been given a certain ounce of alcohol, this ounce of alcohol is the treatment which is expected to cause a variation in the braking speed of the participants. Hence, alcohol intake is the independent variable while braking speed is the dependent variable.
Object B must contain many more particles than object A. This way object B still has a greater thermal energy
Answer:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
When x=-2
f(x) =3(-2) -12 =-6-12=-18
When x=2
f(x) = 3(2)-12=6-12=-6
So For the domain (-2,2)
Range of the function f(x) is (-18,-6)
So (-18 ,-6). is your answer.
Hope it helps....
Regards,
Leukonov/Olegion.