Answer:
D. 13*3^x
Step-by-step explanation:
![3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x](https://tex.z-dn.net/?f=3%5Ex%20%2B4%2A3%5Ex%5E%2B%5E1%3D%20%5C%5C3%5Ex%2B4%2A3%283%5Ex%29%3D%5C%5C3%5Ex%281%2B%5B4%2A3%5D%29%3D%5C%5C3%5Ex%281%2B12%29%3D%5C%5C3%5Ex%2813%29%3D%5C%5C13%2A3%5Ex)
I did this manually on some notepaper but my scanner is not working.
The answer is 72 cm^2
The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
<h3>
Translation of coordinates</h3>
Translation is a transformation technique used to change the position of an object on an y-plane.
For instance translating a coordinate (x, y) into (x-3,y -2) means a shift of the image <u>3 units to the right and 2 units down the plane. In </u>order to get the corresponding coordinates, we will subtract 3 from the x-coordinates and 2 from the y-coordinates.
Given the coordinate of the triangle DEF as shown;
ΔDEF
D(2, 3),
E(l, 1), and;
F(4, O)
The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
Learn more on translation here: brainly.com/question/12861087
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Answer:
x = 0 or x = 5/2
Step-by-step explanation:
Solve for x over the real numbers:
x^2 sqrt(2 x - 5) = 0
Split into two equations:
x^2 = 0 or sqrt(2 x - 5) = 0
Take the square root of both sides:
x = 0 or sqrt(2 x - 5) = 0
Square both sides:
x = 0 or 2 x - 5 = 0
Add 5 to both sides:
x = 0 or 2 x = 5
Divide both sides by 2:
Answer: x = 0 or x = 5/2