A line is perpendiculat to another which has a slope of m if the perpendicular line has a slope of -1/m.
That means that if the product of slopes of two lines is -1, the two lines are perpendicular.
Here, y1=-7/4x, or m=-7/4
The perpendicular should have a slope of -1/m=-1/(-7/4)=4/7
Answer:
Same side: 4, 1.5, 5/3, 0.2
Opposite side: -5, -1/4
Step-by-step explanation:
We know that dilation caused by a positive factor leads to the object being on the same side and dilation caused by a negative factor leads to the object being on the opposite side. Therefore, the dilation caused by positive numbers 4, 1.5, 5/3, 0.2 will lead to object being on the same side. And dilation caused by a negative numbers -5 and -1/4 will lead to object being reflected to the opposite side
Answer:
Please see the attached image below, to find more information about the graph
The figures that are obtained by a single reflection are shown in the image inside a red rectangle.
The axis of reflection is shown with a black line.
- The figure from the left shows horizontal reflection
- The figure from the right shows vertical reflection
Answer:
Pr(B) = 0.69
Pr(J/B) = 0.35
Pr(J∩B) = 0.14
Pr(G/J') = 0.66
Pr(G) = 0.31
Step-by-step explanation:
Applying,
Pr = possible outcome (a)/Total outcome(t)
(1) Pr(B) = a/t............ Equation 1
From the diagram
Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465
Substitute these values into equation 1
Pr(B) = 320/465
Pr(B) = 0.69
(2) Pr(J/B) = (35+65)/(220+65)
Pr(J/B) = 100/285
Pr(J/B) = 0.35
(3) Pr(J∩B) = 65/465
Pr(J∩B) = 0.14
(4) Pr(G/J') = 145/220
Pr(G/J') = 0.66
(5) Pr(G) = 145/465
Pr(G) = 0.31
