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!
Area of rectangle is 7x9 which is 63
Area of the square=5x5 which is 25
So area is: 63-25=38
Answer:
D.
Step-by-step explanation:
Two events A and B are independent when
where 
is the probability that event A occurs given that event B has occured.
A = randomly selected person is from California
B = randomly selected person preferred brand A
A|B = being a person from California and preferring brand A.
Hence,
Since 
events are independent.
C. Phonograph were inferior in sound quality.
Step-by-step explanation:
Researches have shown that plants respond to the sounds of their pollinator.
Some plants begin to produce a greater amount of nectar and some begin to vibrate to attract the attention of the pollinators towards them.
Greater the intensity of the sound of the pollinator, the faster the reaction will be.
Phonographs have a sound of lower intensity when compared to the intensity of sound produced by the radio.
Thus the radio was better than the phonograph in encouraging the concept of cross-pollination.
No, because the input repeated 4 twice and the output repeated 3 twice
