Answer:
B. (-3, 1), (6,2), (8,3), (6,4), (3, 5)
Step-by-step explanation:
This relation is not a function because the number 6 repeats twice.
a. -13q
b. -11q
c. 11q
d. 13q
Answer:
13q
Step-by-step explanation:
q is the same as 1q
1q + 12q = 13q
Answer:
To determine whether AB and CD are parallel, perpendicular, or neither, we need to analyze their slopes.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slopes of AB and CD:
AB:
Point A (8, 4)
Point B (4, 3)
slope of AB = (3 - 4) / (4 - 8) = -1 / -4 = 1/4
CD:
Point C (4, -9)
Point D (2, -1)
slope of CD = (-1 - (-9)) / (2 - 4) = 8 / -2 = -4
Now, let's analyze the slopes:
1. If the slopes of AB and CD are equal, then the lines are parallel.
In this case, the slope of AB is 1/4 and the slope of CD is -4. Since the slopes are different, AB and CD are not parallel.
2. If the product of the slopes is -1, then the lines are perpendicular.
In this case, the product of the slopes of AB and CD is (1/4) * (-4) = -1. Since the product is -1, AB and CD are perpendicular.
Therefore, AB and CD are perpendicular to each other.
In summary, AB and CD are perpendicular lines.
Step-by-step explanation:
<3
-5x + 7y = 62
Fill in the blanks with your x and y coordinates
( ________, _________)
To find the solution to the system of linear equations:
4x + 6y = 20
-5x + 7y = 62
We can use the method of substitution or elimination to solve for x and y. Let's use the elimination method:
1. Multiply the first equation by 5 and the second equation by 4 to eliminate the x variable:
20x + 30y = 100
-20x + 28y = 248
2. Add the two equations together:
(20x - 20x) + (30y + 28y) = 100 + 248
58y = 348
3. Divide both sides of the equation by 58:
y = 6
4. Substitute the value of y back into either of the original equations. Let's use the first equation:
4x + 6(6) = 20
4x + 36 = 20
4x = 20 - 36
4x = -16
x = -4
Therefore, the solution to the system of linear equations is:
(x, y) = (-4, 6)
-2/3x=-468/17