Answer:
m = 17.78.
Step-by-step explanation:
Given the algebraic expression;
2.5m + 10 = 1.6m - 6
To find the value of m;
First of all, we would collect like terms.
2.5m - 1.6m = -6 - 10
0.9m = -16
m = -16/0.9
m = 17.78
Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
They are called vertical angles because the definition of vertical is: <span>in a direction, or having an alignment, such that the top is directly above the bottom. The "angles opposite each other when two lines cross" match the definition.</span>
Given two points, the equation of the line in slope form can be obtained using this equation
Now we can name the points
x1 = 2, y1 = 8
x2 = 4 , y2 =9
These coordinates can then be substituted into the equation
x - 2 + 16 = 2y
2y = x - 2 +16
2y = x + 14
Divide both sides by 2
y = x/2 + 14/2
This is the equation in slope-intercept form
where the slope = 1/2
