The curve for f(x) and g(x) have the same shape but only differs in their position relative to the y and x-axis. With respect to the y-axis, it shifted 5 units upward. With respect to the x-axis, it shifted 9 units to the right. Since the right hand side is equal to y, we add +5 to the right. Similarly, since the left hand side is equal to x, we add +9 to the left. If we transpose this to the right,it becomes -9. So the equation for g(x) is: <span>g(x)=(1/2)^x−9+5</span>
Answer: The measure of angle 3 is 50 degrees.
Step-by-step explanation:
We know that angle 2 is 130 degrees.
Angle 1 and angle 2 are verticle angles which means that they are across and equal to each other.
So angle 1 and angle 2 are 130 degrees.
Add up both angle 1 and angle 2, 130 + 130 = 260.
Now, all of these angles add up to be 360 degrees in total as they make a circle and there are 360 degrees in one.
Subtract 260 from 360, 360 - 260 = 100.
Since both angle 3 and angle 4 are also verticle angles we need to split the 100 degrees evenly, 100 ÷ 2 = 50.
So, angle 3 is 50 degrees.
Answer:
The center is (-10,10) and the radius is 4sqrt(3)
Step-by-step explanation:
(x + 10)^2 + (y - 10)^2 = 48
We can write the equation of a circle as
(x -h)^2 + (y - k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -10)^2 + (y - 10)^2 = (sqrt(16*3) )^2
(x- -10)^2 + (y - 10)^2 = (4sqrt(3)) ^2
The center is (-10,10) and the radius is 4sqrt(3)
Answer:
Step-by-step explanation:
10x + 25y = 370
y = x + 5
10x+25(x+5)=370
10x+25x+125=370
35x=370-125
x=245/35
x=7 which is the number of dimes
x+7= 7+5= 12 which is the number of quarters
So you have 12 quarters. That means you have 7 dimes.
Answer:
9.3
Step-by-step explanation:
2/.214
