Plot these points and then draw the line
X = 0
Y = -3
X = -1
Y = -2
X= -2
Y = -1
The answer would be (3,-1) because it is reflected
Let the two numbers be x and y.
We have x+y=45
⇒ y= 45-x.
The two numbers multiply and get 121, so we have another equation:
x*y = 121 (1)
Plug y= 45-x in (1), we have:
x* (45-x)=121
⇒ 45x - x^2 = 121 (distributive property)
⇒ x^2 - 45x = -121 (multiply -1 on both sides)
⇒ x^2- 45x + 121= 0
⇒ x= 42.128 or x= 2.872
y= 45- 42.128= 2.872
or y= 45- 2.872= 42.128.
Because it does not matter what number, x or y, is larger, the two numbers are 2.872 and 42.128.
Hope this helps~
The northbound car has traveled a distance of 6.2 miles.
Step-by-step explanation:
Step 1:
The eastbound car has traveled a distance of 5 miles and if a straight line is drawn between the two car's positions it would measure 8 miles.
This forms a triangle which has a hypotenuse measuring 8 miles while one of the other sides measures 5 miles.
Assume the distance traveled by the northbound car is x miles.
Step 2:
According to Pythagoras' theorem,


So the northbound car has traveled a distance of 6.244 miles. Rounding this off, we get 6.2 miles.
You need to multiply 4/5*2,000/1.
So, you would get 8,000/5.
Now, we need to divide 8,000 by 5, which would be 1,600.
1,600 items produced out of 2,000 are not defective.