Answer:
y=2x+6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(10-6)/(2-0)
m=4/2
m=2
y-y1=m(x-x1)
y-6=2(x-0)
y-6=2(x)
y-6=2x
y=2x+6
Answer:
D: The maximum value is 0
Step-by-step explanation:
Choice A is true because the x-intercepts are shown on the graph and are both -2 and 2.
Choice B is true because the parabola intercepts the y axis at 2.
Choice C is true because the AoS runs down the vertex which happens to be on the point (0,2).
Choice D is false because this parabola has no maximum value (parabolas continue forever unless stated otherwise).
Answer:
88 deg
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. That means that the sum of the measures of angles O and Q is 180 deg.
2x + 2x + 4 = 180
4x + 4 = 180
4x = 176
x = 44
m<O = 2x = 2(44) = 88
Answer: 88 deg
Answer: 2 < x < 16
The triangle inequality theorem says that if we have a triangle with sides a,b,c then
b-a < c < b+a
with b being longer than 'a'
In this case, a = 7 and b = 9 and c = x
so we have
b-a < c < b+a
9-7 < c < 9+7 .... replace a with 7, replace b with 9
2 < c < 16
2 < x < 16 .... replace c with x
So x can be any number between 2 and 16. The value of x cannot be equal to 2. Also, x cannot be equal to 16 either.
Answer:
A)
B)
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
Problem 1)
We have the two points (-4, 5) and (7, 18).
Let (-4, 5) be (x₁, y₁) and let (7, 18) be (x₂, y₂).
Substitute:
Evaluate:
Problem 2)
We have the two points (-2, -3) and (-4, 4).
Similarly, we will let (-2, -3) be (x₁, y₁) and (-4, 4) be (x₂, y₂).
Substitute:
Evaluate: