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:
28 inches
Step-by-step explanation:
To find the value of x you put them into an equation of: (x+6) = (3x+2), this would let you find that x=2, since 2+6 = 6+2. Once you've plugged that in all you need to do is add together all the sides, and since side A and side B are both 8 you do 12+16 to get the perimeter of 28 inches.
Answer:
Step-by-step explanation: Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(8, 5)=1. In the next intermediate step the fraction result cannot be further simplified by cancelling. In words - four multiplied by two fifths=eight fifths.
Answer:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57 Step-by-step explanation:
