Answer: 
Step-by-step explanation:
1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:
Where 
is the force acting on the object, 
is the object's acceleration and 
is the constant of proportionality.
2. Keeping this on mind, you can calculate the constant of proportionality by substituting 
and 
into the equation and solving for :
3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:
3. The result is:
Answer:
7. B 8. C 9. C
Step-by-step explanation:
7. y is greater than because the area above the line is shaded and since the line is dashed there it's not greater than or equal to.
8. C provides the correct y values for all of the x values.
9. The point (6, 3) produces -3 ≥ -8 which is the only one that is correct out of all the points provided.
Ages of Dan and Cary are 29 and 33 respectively.
<u>Step-by-step explanation:</u>
Step 1:
Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.
In 7 years, sum of their ages = 76
⇒ (x + 7) + (x + 4 + 7) = 76
⇒ 2x + 18 = 76
⇒ 2x = 58
⇒ x = 29
Step 2:
Calculate age of Cary.
⇒ x + 4 = 33
9514 1404 393
Answer:
- reflection across the origin
- rotation 180° about the origin
- reflection across the x-axis, and translation right 6 units
Step-by-step explanation:
The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:
1. reflection across the origin
2. rotation 180° about the origin
3. reflection across both x- and y-axes, in either order
__
The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...
4. reflection across the x-axis and translation 6 units right, in either order
