Answer:
x = 6/5 or x = -2
Step-by-step explanation:
We need to solve:
|5x+2|=8
We know that |u|=a the u = a and u = -a
Now solving:
|5x+2|=8
5x +2 = 8 or 5x +2 = -8
5x = 8-2 or 5x = -8-2
5x = 6 or 5x = -10
x = 6/5 or x = -10/5
x = 6/5 or x = -2
So, x = 6/5 or x = -2
Answer:
Step-by-step explanation:
The equation of a circle:
<em>(h, k)</em><em> - center</em>
<em>r</em><em> - radius</em>
<em />
We have diameter endpoints.
Half the length of the diameter is the length of the radius.
The center of the diameter is the center of the circle.
The formula of a distance between two points:
Substitute the coordinates of the given points (-8, 2) and (-2, 6):
The radius:
The formula of a midpoint:
Substitute:
Finally:
Hello!
You have to find the probability of getting a 2
This is a 1/6 chance
Then you have to find the chance of getting a number greater than 2
This is a 4/6 chance
To find the chance of these happening at the same time you multiply these together
1/6 * 4/6 = 1/9
There is a 1/9 chance
Hope this helps!
Answer:
y = x-2
Step-by-step explanation:
y = mx + b as an equation
m = slope
slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁) = (y₁-y₂)/(x₁-x₂) = (2-(-2))/(4-0) = 4/4 = 1
y = 1*x + b
plug a value in, e.g. (0, -2)
-2 = 1 * 0 + b
-2 = b
our equation is thus
y = x - 2
Answer:
x=4 and y=−2
Step-by-step explanation:
y=−3x+10;y=−2x+6
Step: Solve y=−3x+10for y:
Step: Substitute−3x+10foryiny=−2x+6:
y=−2x+6
−3x+10=−2x+6
−3x+10+2x=−2x+6+2x(Add 2x to both sides)
−x+10=6
−x+10+−10=6+−10(Add -10 to both sides)
−x=−4
-x/-1 = -4/-1 (Divide both sides by -1)
x=4
Step: Substitute4forxiny=−3x+10:
y=−3x+10
y=(−3)(4)+10
y=−2(Simplify both sides of the equation)
