Assuming M is midpoint of RS
the midpoint formula is
x term of the midpoint is average of the x value of the 2 points
y term of the midpoint is average of the y value of the 2 points
if R is (x,y)
S is (6,1)
x value of midpoint is 4
x value of S is 6
x value os R is x
so
average of x and 6 is 4,
(x+6)/2=4,
x+6=8,
x=2
y value of midoint is 2
y value of S is 1
y value of R is y
average of 1 and y is 2
(y+1)/2=2
y+1=4
y=3
the midpoint is (2,3)
Answer:
$8.6
Step-by-step explanation:
The total tax is 8 dollars and 60 cents
Answer:
(-1,6)
Step-by-step explanation:
Given that(4,6) is on the graph of f(x)
f(-4x) means x is multiplied by -4
When x is multiplied by -1 then there will be reflection over y axis
We multiply every point by -1. so multiply the x values of the given point (4,6) by -1
New point is (-4,6)
If any number is multiplied with x then there will be a horizontal compression or stretch.
4 is multiplied with x , so there will be horizontal compression because 4 is greater than 1
To get new point, we divide the x values by 4 for compression
we already got (-4,6) after multiplying by -1
Now we divide the x coordinate -4 by 4 = -1
So corresponding point for the function f(-4x) is (-1,6)
Answer:
5.4 in.
Step-by-step explanation:
Figuring out the area of shapes like these are quite simple, you first have to break apart this shape to make solving this easier. If you draw a line and break off the triangle from the square you will get 2 different shapes. A square with all the sides being 2 inches, and a triangle that is 2 inches tall and 1.4 inches across (you subtract 3.4 by 2). Next you just use the equation (2 * 2) + ((1.4 * 2)/2). Multiply 2 by 2 (which is 4) and you get the area of the square (you multiply the base by the width). And for the triangle you multiple 1.4 by 2 (you get 2.8)... But because it's a triangle you have to divide that number by 2 since the triangle is half of a square. So 2.8 / 2 is going to be 1.4. After that you now have the equation 4 + 1.4 and the answer is going to be 5.4.
Answer:
1/6
Step-by-step explanation: