Answer:
d)X=4 or x=-2
Step-by-step explanation:
X²-2x=8
X²-2x-8=0
(x-4)(x+2)=0
X-4=0 or x+2=0
X=4 or x=-2
Answer:
Slope = -4
Step-by-step explanation:
Given points are :
(-1,30) and (4, 10)
We need to find the slope of the line that passes through these points.
We know that, the formula for the slope of line is given by :

We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10
Put values in the above formula.

So, the slope of the line is -4.
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
Answer:
Hint: 0 is x1, -2 is y1, 10 is x2, and -6 is y2.
Step-by-step explanation:
I'm not sure how to explain it, but that's how you can label your coordinates to make it easier to substitute it into the formula. The first number at the beginning of the coordinate is x and the other is y. For example, (3, 7). The three is x and the seven y. If you have two coordinates, then one group has a 1 underneath it while the other has a 2. Simply put, (x1, y1) and (x2, y2). The only thing left is to find the midpoint of segment AB (or line, not sure) by using the midpoint formula.
(If you still need help, you can always reply back)
Yes it would be 7.1 is greater than 7