Answer:
2/5
Step-by-step explanation:
= -5x - x = 2 + x
= -5x - x - x = 2
= x - x - x = -2/5
= -x = -2/5
= x = 2/5
Answers:
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Given:
Ava graphs the function
.
Victor graphs the function 
To find y intercept we plug in 0 for x

= 4
So ,Ava’s graph has a y-intercept of 4.
Ava graphs the function 
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function 
If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.
Answer: y=-2x-9
Step-by-step explanation:
If ANGL is a square, then NG and LG are adjacent sides.
Adjacent sides are perpendicular. [Each angle is 90°]
The equation of line NG is
.
By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)
slope =
Let slope of LG be <em>n</em>, then
[Product of slopes of two perpendicular line =-1]

Equation of a line passes through (a,b) and have slope m is given by :-

Equation of LG :
[In intercept form]
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
I hope this helps you
10^2=5^2+x^2
100-25= x^2
x= 5 square root of 3