You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.
If for exampla you have two lines, the first one being:

And the second one, that is perpedicular to the one above:

The slope of the second one is the negative inverse of the first one:

The slope of the given line y=-7/4+4 is m=-7/4
So the slope of the perpendicular line has to ve the inverse negative of -7/4

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

replace with the coordinates of the point and the slope and calculate:

Subtract 7 to both sides of the equation to write it in slope-intercept form:

Now you can graph both lines
Answer:
1. There are 8 big fish for every 10 small fish.
2. There are 4 big fish for every 5 small fish.
Answer:



.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now


Answer:
<h2><u>The amount paid to an employee was </u><u>
162</u></h2>
Step-by-step explanation:
<h2><u>The expression 12h + 30w Identifies the amount paid to an employee.</u></h2><h2><u>Let h represent hours and let w represent the total amount of g-wagons sold. </u></h2><h2><u>Since the question explains that an employee works 6 hours and sells 3 wagons, put h as h = 6 and w as w = 3. We would end up getting this equation. 12h + 30w = 12(6) + 30(3).</u></h2><h2><u>Now all you need to do is solve it.</u></h2><h2><u>left side = 72</u></h2><h2><u>right side = 90</u></h2><h2><u>
72 + 90 =</u><u> 162</u></h2>