X+96+5x=180
6x=84
X=14 which is B.
Check: 14+96+5(14)=110+70=180
The transformations are vertical translation 7 units up.horizontal translation 3 units to the left
We have given that the equations
let f(x)=x^2 and g(x)=(x-3)^2+7
We have to determine the correct transformation,
<h3>What is the vertical translation?</h3>
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.
Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.
Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.
To learn more about the transformation visit:
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Answer:
Yellow= 1/2 or 50%chance
Red= 1/5 or 20% chance
Blue= 1/5 or 20% chance
Green= 1/10 or 10% chance
Step-by-step explanation:
There are 10 game pieces
5 are yellow
2 are red
2 are blue
And 1 is green
5/10=1/2=50%
2/10=1/5=20%
2/10=1/5=20%
1/10=10%
Add these up and you get 10/10 or 100%
Hope this helps and don't forget to follow!
The length of each side of the square is 3 ft.
<u>Step-by-step explanation:</u>
We have , A composite figure is formed by combining a square and a triangle. Its total area is 52.5 ft. The area of the triangle is 43.5 ft . We know that area of a square = 
. According to question:
area of square =
area of triangle = 43.5 ft
total area = 52.5 ft.
Total area = area(square+triangle)
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, the length of each side of the square is 3 ft.
Answer:
y=5/3x+7/3
Step-by-step explanation:
Here are the points: (1,4) and (-2, -1)
let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)
label the points:
x1=1
y1=4
x2=-2
y2=-1
now subsitute into the equation
m=(-1-4)/(-2-1)
m=-5/-3
m=5/3
the slope of the line 5/3
Here's the equation so far:
y=5/3x+b (b is a place holder)
we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>
let's use (1,4) as an example
4=5/3(1)+b
4=5/3+b
subtract 5/3 from both sides
7/3=b
Now, put it all together:
y=5/3x+7/3
Hope this helps!
