Answer:
{x,y} = {-2,-3}
Step-by-step explanation:
System of Linear Equations entered :
[1] -9x + 4y = 6
[2] 9x + 5y = -33
Graphic Representation of the Equations :
4y - 9x = 6 5y + 9x = -33
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 5y = -9x - 33
[2] y = -9x/5 - 33/5
// Plug this in for variable y in equation [1]
[1] -9x + 4•(-9x/5-33/5) = 6
[1] -81x/5 = 162/5
[1] -81x = 162
// Solve equation [1] for the variable x
[1] 81x = - 162
[1] x = - 2
// By now we know this much :
x = -2
y = -9x/5-33/5
// Use the x value to solve for y
y = -(9/5)(-2)-33/5 = -3
1) 23
2) -20
3) 2
4) -28
5) -11
A) If you cut off half the peaks (3.5 ft down from the top), they will just fill the valleys making a rectangle 18.5 ft by 30 ft. The area is the product of these dimensions.
A = (18.5 ft)*(30 ft) = 555 ft²
b) To determine the number of quarts of paint required, divide this number by 90 ft². Since you cannot buy a partial quart, if there is any remainder, use the next higher integer number of quarts.
555/90 ≈ 6.2 so Pat should buy 7 quarts of paint.
The scale factor is six and the dilation is an enlargement.
Answer:
According to the “Hare Psychopathy Checklist” a psychopath is a person who knows right from wrong in our society but often feels no guilt, remorse or empathy when they engage in wrong actions. They lie easily, blame others for their actions and often hurt people who are close to them. David Berkowitz meets the criteria of Hare’s checklist and is believed to be a true psychopath. Berkowitz is known as the “Son of Sam”, a thrill seeking serial killer who terrorized the city of New York for over a year. Information about David Berkowitz’s background, personality traits and lifestyle and his serial killer profile help to prove that he is in fact a psychopath. In conclusion, this essay will prove to readers that David Berkowitz is a notorious…
Step-by-step explanation: