Answer:
The lines blue and green are perpendicular
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)
The formula to calculate the slope between two points is equal to
step 1
Find the slope of the blue line
we have the points
(-1,-3) and (0,3)
substitute
step 2
Find the slope of the red line
we have the points
(3,-3) and (4,2)
substitute
step 3
Find the slope of the green line
we have the points
(-4,-1) and (2,-2)
substitute
step 4
Compare the slopes
Blue line ----> 
Red line ----. 
Green line --->
so
The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)
therefore
The lines blue and green are perpendicular
Answer:
13.7142857143
Step-by-step explanation:
so just 13
Answer:
Joseph caught 7 tadpoles
Step-by-step explanation:
Let the number of tadpoles caught by Joseph be x
The number of tadpoles Wendy caught will be ;
9(x + 3)
After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;
Hence, mathematically;
9(x + 3)/2 - 6x = 3
Multiply through be 2
9(x + 3) - 12x = 6
9x + 27 -12x = 6
9x -12x = 6-27
3x = 21
x = 21/3
x = 7
Answer:
x = -2/3, 0, 3/4
Step-by-step explanation:
The zeros of the polynomial are the solutions or roots or x-intercepts of the function. To find them, use the zero product property to solve for x. Use the property by setting each factor equal to 0.
x = 0 4x-3=0 3x+2 = 0
x = 3/4 x = -2/3
Smallest 1/4 5/12 1/2 2/3 3/4 biggest
