Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Answer:
The points represent that <u>5 miles </u> were hiked in <u>3 hours.</u>
Step-by-step explanation:
So, lets go over what we need to know.
The x coordinates is the time.
The y coordinates is the miles.
We have (3, 5)
This is (x, y)
x = 3, and y = 5. Considering what we know above, the time is 3 hours, and the miles is 5.
To fill in the boxes, it asks "Blank miles are hiked in blank hours"
We know 5 miles are hiked in 3 hours.
So the fill in for the first part is 5, and the fill in for the second part is 3.
Hope this helps!
Answer:
None of these choices are correct.
Step-by-step explanation:
If a bond is quoted at 99.875, it means that it is sold at 99.875% of the face value;
Face value = 1000
Therefore, Price = 0.99875 * 1000
Price = $998.75
If Leona pays 5.5% of the selling price, it means that she is paying additional cost which will make the total cost more than the quoted price;
5.5% of 998.75 is;
0.055*998.75 = $54.93
The total cost = $998.75 +$54.93
= $1053.68
Therefore, none of the given choices is correct.
Answer:
SAS
Step-by-step explanation:
Hope this helps :)
