Answer:
Horizontal ; 4 units right
Vertical ; 5 units down
Step-by-step explanation:
Here, we want to describe a transformation
From what we have, we can see that while 4 was added to the x value, 5 was subtracted from the whole
The 4 added shows a translation to the right of the x-axis while the -5 added is a downward translation on the y axis
So we have our answer as;
horizontal translation of 4 units right and vertical translation of 5 units down
The y-values of 1, 2, 4, 8 imply an exponential function of base 2. At n = 1, y = 1 = 2^0. We can substitute into the various choices to determine the correct equation, which turns out to be a_n = 2^(n-1).
yes, A triangle with no equal sides is called a scalene triangle. ... An exterior angle of a triangle is equal to the sum of the two remote interior angles. True. A three sided regular polygon is called equilateral.
Step-by-step explanation:
sin²x = 2 - 2cosx
1 - cos²x = 2 - 2cosx (because sin²x + cos²x = 1)
cos²x - 2cosx + 1 = 0
(cosx - 1)² = 0
cosx - 1 = 0
cosx = 1
Hence x = 0.
Let's solve your equation step-by-step.
4(x−3)−5(x+1)=3
Step 1: Simplify both sides of the equation.
4(x−3)−5(x+1)=3
(4)(x)+(4)(−3)+(−5)(x)+(−5)(1)=3(Distribute)
4x+−12+−5x+−5=3
(4x+−5x)+(−12+−5)=3(Combine Like Terms)
−x+−17=3
−x−17=3
Step 2: Add 17 to both sides.
−x−17+17=3+17
−x=20
Step 3: Divide both sides by -1.
−x−1=20−1
x=−20