<span>1/3 (6ab - 9b) + 2/3(9ab + 12b)
=</span><span>2ab - 3b + 6ab + 8b
= 8ab + 5b
= b(8a + 5)
hope that helps</span>
Answer:
<u>Point C at (-18/7)</u>
Step-by-step explanation:
Point A is at -6 and point B is at 2.
So, the distance between A and B = 2 - (-6) = 8
point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.
Let the distance AC = x
∴ BC = 8 - x
AC : CB = 3 : 4
∴
Using cross multiplication
3 (8-x) = 4x
24 - 3x = 4x
24 = 7x
x = 24/7
So, Point C = -6 + 24/7 = -18/7
Point C at (-18/7)
Answer:
x=10.247
y=52.02
z=37.98
Step-by-step explanation:
For x you use Pythagorean theorem which, in this situation would be 13^2=8^2+x^2 rearranging this we can figure out x by taking the square root of 13^2-8^2.
For y you can use any trig function but I chose to use cos since that uses info we're given, to find y you just do the inverse cos or cos^-1 of 8/13 to find the angle
For z you can use any trig function but I chose to use sin since that uses info we're given, to find z you just do the inverse sin or sin^-1 of 8/13 to find the angle
Answer:
k = 6
Step-by-step explanation:
Parent function of the given graph → f(x) = (x - 1)²
If the parent function is shifted 6 units up.
Equation of the translated function will be → g(x) = (x - 1)² + 6
g(x) = f(x) + 6
Therefore, k = 6 will be the answer.
I hope this helps you
6y-2x=20
2 (3y-x)=2.10
3y-x=10
3y=x+10
y=x+10/3
