Answer: #20, x = 3
#21, x = 1/2
Step-by-step explanation:
#20) x + 4 + x + 2+ x + 5 = x + 3 +x+3+x+1+x+1
3x + 11 = 4x + 8
<u>-3x -3x</u>
11= x + 8
<u> - 8 - 8</u>
3 = x
#21) 12x(5) = 6x + 9 + x + 10 + x + 7
60x =8x + 26
<u> -8x -8x</u>
52x = 26
divide both sides by 52
x = 1/2
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
Answer:
D. 12
Step-by-step explanation:
<A = <C = 50. It's isosceles triangle
So AB = BC
Plug in
4x = 2x + 6
2x = 6
x = 3
AB = 4 (3) = 12
9514 1404 393
Answer:
? = 15a^2
Step-by-step explanation:
We assume you want
(5a)/(8ab) = (?)/(24a^2·b)
Multiplying by 24a^2·b, we get ...
(5a)/(8ab)·(24a^2·b) = ? = 15a^2
Answer:
5:15 :))
Step-by-step explanation:
you would do 1+3(=4) and then divide 20 by 4(=5)
5×1=5
5×3=15