Answer:
y = -x + 9
Step-by-step explanation:
Since the line is parallel, the slope is -1.
y = -x + c
Substituting (0,9) into the above equation:
9 = 0 + c
c = 9
y = -x + 9
<em>Feel free to mark this as brainliest! :D</em>
Answer: Length of each part of his journey is
![\frac{1}{48}\ miles](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B48%7D%5C%20miles)
Explanation:
Since we have given that
Tortoise must walk run
miles to visit a friend.
According to question,
He plans to break a journey into four equal parts .
Length of each part becomes
![\frac{\frac{1}{12}}{\frac{1}{4}}\\\\=\frac{1}{12\times 4}\\\\=\frac{1}{48}\ miles](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B12%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B12%5Ctimes%204%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B48%7D%5C%20miles)
Hence, length of each part of his journey is
![\frac{1}{48}\ miles](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B48%7D%5C%20miles)
Answer:
16 actual miles.
Step-by-step explanation:
We have been given that a scale on a hiking map shows that 1.5 inches represents 4 miles. We ate asked to find the number of actual miles that are represented by 6 inches on the map.
We will use proportions to solve our given problem.
![\frac{\text{Actual distance}}{\text{Distance on map}}=\frac{\text{ 4 miles}}{\text{1.5 inches}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BActual%20distance%7D%7D%7B%5Ctext%7BDistance%20on%20map%7D%7D%3D%5Cfrac%7B%5Ctext%7B%204%20miles%7D%7D%7B%5Ctext%7B1.5%20inches%7D%7D)
Upon substituting map distance of 6 inches in above proportion, we will get:
![\frac{\text{Actual distance}}{\text{6 inches}}=\frac{\text{ 4 miles}}{\text{1.5 inches}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BActual%20distance%7D%7D%7B%5Ctext%7B6%20inches%7D%7D%3D%5Cfrac%7B%5Ctext%7B%204%20miles%7D%7D%7B%5Ctext%7B1.5%20inches%7D%7D)
![\frac{\text{Actual distance}}{\text{6 inches}}\cdot \text{6 inches}=\frac{\text{ 4 miles}}{\text{1.5 inches}}\cdot \text{6 inches}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BActual%20distance%7D%7D%7B%5Ctext%7B6%20inches%7D%7D%5Ccdot%20%5Ctext%7B6%20inches%7D%3D%5Cfrac%7B%5Ctext%7B%204%20miles%7D%7D%7B%5Ctext%7B1.5%20inches%7D%7D%5Ccdot%20%5Ctext%7B6%20inches%7D)
![\text{Actual distance}=\frac{\text{ 4 miles}}{1}\cdot 4](https://tex.z-dn.net/?f=%5Ctext%7BActual%20distance%7D%3D%5Cfrac%7B%5Ctext%7B%204%20miles%7D%7D%7B1%7D%5Ccdot%204)
![\text{Actual distance}=\text{16 miles}](https://tex.z-dn.net/?f=%5Ctext%7BActual%20distance%7D%3D%5Ctext%7B16%20miles%7D)
Therefore, 6 inches on the map represents 16 actual miles.
Answer:
27000
Step-by-step explanation:
600(45)=27000
Answer:
14
Step-by-step explanation:
f(-14) = ||-14|| = |14| = 14