Answer:
4500 feet
Step-by-step explanation:
Unit Conversion used:
1 yard = 3 feet
Unit multipliers used:
The unit multipliers are set up in such a way that when they are multiplied with eachother, the initial unit of “weeks” gets cancelled out and the final answer is assigned the units of “feet”
∴Total distance he swam during = × × ×
hiswinter break = 4500 feet
Answer:
f'(x)=-(x+42)/5
Step-by-step explanation:
Rewrite f(x) as y:
y=-5x-42
Flip x and y and solve for y:
x=-5y-42
x+42=-5y
(x+42)/-5=y
So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)
2. (4/5x, 4/5y)
3. (5/4x, 5/4y)
4. (7.5x, 7.5y)
(Please help)
Answer:
1. The dilation (0.2x, 0.2y) is an enlargement.
When the scale factor of a dilation is greater than 1, it results in an enlargement. In this case, the scale factor is 0.2, which is less than 1. However, the absolute value of the scale factor is greater than 1. Therefore, it is considered an enlargement.
For example, let's consider a point (2, 3). After applying the dilation with a scale factor of 0.2, the new coordinates would be (0.4, 0.6). This shows that the image has been enlarged.
2. The dilation (4/5x, 4/5y) is an enlargement.
Similar to the first dilation, the scale factor in this case is less than 1, but its absolute value is greater than 1. Hence, it is an enlargement.
For instance, if we have a point (5, 6) and apply the dilation with a scale factor of 4/5, the new coordinates would be (4, 4.8). This demonstrates an increase in size.
3. The dilation (5/4x, 5/4y) is also an enlargement.
The scale factor here is greater than 1, which indicates an enlargement.
Let's consider a point (8, 10) and apply the dilation with a scale factor of 5/4. The new coordinates would be (10, 12.5), indicating an increase in size.
4. The dilation (7.5x, 7.5y) is an enlargement.
Once again, the scale factor is greater than 1, confirming that it is an enlargement.
For example, if we have a point (1, 2) and apply the dilation with a scale factor of 7.5, the new coordinates would be (7.5, 15), indicating an increase in size.
In summary, all the given dilations result in enlargements as their scale factors are either greater than 1 or their absolute values are greater than 1.
Step-by-step explanation:
<3
Answer:
Step-by-step explanation:
Step-by-step explanation:
Additive inverse is the opposite of a number; the sum of additive inverses is zero. An integer and its additive inverse make up a zero pair.
example: 3
integer: -3+3=0
additive inverse: 3-3=0
Hope this helps!
Thanks!