Answer: Infinitely Many Solutions
Step-by-step explanation:
Substitute y into the second equation:
2(-2x-6)=-4x-12
Then you get -4x-12=-4x=-12. Since this is 0=0 it would make it infinitely many solutions.
Answer:
<h2>
m = ¹/₁₄</h2>
Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = -14x - 1 ⇒ m₁ = -14
-14×m₂ = -1 ⇒ m₂ = ¹/₁₄
So, the slope of a line perpendicular to the line y = -14x - 1 is m = ¹/₁₄
We can see that the lines intersect at (-5,3) on the graph, so that eliminates choices B and D. Both A and C say that the first line is y=x+8, which is true. A says that the second line is y+x=-2, and after isolating y, we get y=-x+2, which seems correct. Do the same for C, and you will find that it says the other equation is y=x-2, which is not true because it must have a negative slope. So your answer will be choice A.
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
Answer:
i'd say it is either a or d, but i'd try a. 40 miles first.
Step-by-step explanation:
i hope this helps, and update me
