Answer:
Perpendicular line y = (- 8/3)x - 76/3.
Parallel line y = (3/8)x - 1
Step-by-step explanation:
y = 3/8
x + 3
1) Perpendicular line has negative reciprocal slope.
m = - 8/3
y = (- 8/3)x + b
Point (-8, - 4)
- 4 = (- 8/3)*(-8) + b
-4 - 64/3 = b
b = - 76/3
y = (- 8/3)x - 76/3
2) Parallel line has the same slope.
m = 3/8
y = (3/8)x + b
Point (-8, -4)
- 4 = (3/8)*(- 8) + b
- 4 + 3 = b
b = - 1
y = (3/8)x - 1
Answer:
Correct choices: 2 and 4
Step-by-step explanation:
These two line segments have a positive slope.
The answer you are looking for is C. 8.
To find this you could Pythagorean Theorem. The base or bottom of the triangle would be 7, and the "leg" of the triangle would be 3. In this instance, we will call 3 "a" and 7 "b". We use these two numbers to find the missing value, which is "c" or the hypotenuse.
The formula for Pythagorean Theorem is "a^2 + b^2 = c^2". Then we follow these steps.
- Fill in the known values. 3^2 + 7^2 = c^2
- Simplify the squared numbers. 9 + 49 = c^2
- Add the numbers together. 58 = c^2
- Square root both sides. √58 = c.
- Round up to the nearest whole mile. 7.615 = c; c = 8.
Here's a picture to show how I did this. I hope this helps!
On the augmented matrix, each row represents an equation of the linear system. From left to right, the first three elements of the row represent the coefficients of the variables in order, the last element represent the right side of the equation.
On the third row we have the elements 3 8 0 4, which gives to us the following equation