135 feet is the length of the yard
1) Parallel lines have equal slopes.
We need to find the slope of the given line by solving for y.
5x - 15y = 30
-15y = -5x + 30
y = (1/3)x - 2
The slope of the given line is 1/3, so the slope of the parallel line is also 1/3.
2) Line 1 has slope 2/3.
Line 2 has slope 2/3.
3) Line 1 is a vertical line through x = 2. Line 2 is a horizontal line through y = -5. The lines are perpendicular.
4) The given line can is solved for y, so we can see its slope is -5/2. The slopes of perpendicular lines are negative reciprocals. The perpendicular line has slope 2/5. We have point (5, 0) which is (x1, y1) in the slope-point formula.
y - 0 = (2/5)(x - 5)
y = 2/5 x - 2
5) The given equation has slope -3. To find the negative reciprocal, write the slope as a fraction, flip it, and change the sign.
Slope of perpendicular line is 1/3.
The first one has x as a like term
The second one has y as a like term
The third one has xy as a like term
The fourth one has no like terms
First multiply 300 by 36 to figure out how much the credit card would be: $10,800. Then multiply 278 by 36 to figure out how much the personal loan is: $10,008. Then subtract $10,008 from $10,800: $10,800-$10,008=$792. She would save $792 :)
This means that the dolphin ascended 7.5 meters in total.
The sea level is 0.
We know that to start off with, the dolphin was seven meters under the sea level.
We also know that the dolphin jumped .5 meters above the sea level.
This is a matter of absolute value; we are looking to find total distance, not actual height (which we already know, .5). Therefore, we ignore the negative sign and instead regard how many places each measurement is away from zero, which is another way of saying absolute value.
Take a look at x.
| x |
The lines surronding x represent absolute value. With that in mind, I can show you the process:
| -7 | + | .5 | = 7.5
is the same as saying 7 + .5 = 7.5
<em>Let me know if you have any questions, or if this helped you!</em>
