Answer:
The vertex form for a parabola is given by this expression:
By direct comparison we see that for this case:
And we know from the general expression that the vertex is:
So then the vertex for this case is:
Step-by-step explanation:
For this case we have the following function:
And we need to take in count that the vertex form for a parabola is given by this expression:
By direct comparison we see that for this case:
And we know from the general expression that the vertex is:
So then the vertex for this case is:
Answer:
y = 148°
Step-by-step explanation:
4x - 18 = 2x + 12 (alternate exterior angles are congruent)
Collect like terms
4x - 18 = 2x + 12
4x - 2x = 18 + 12
2x = 20
Divide both sides by 2
x = 10
y = 180 - (2x + 12) (linear pair theorem)
Plug in the value of x
y = 180 - (2(10) + 12)
y = 180 - (20 + 12)
y = 148°
Answer:
Point Y is the center of the circle that passes through points D, E, and F.
Step-by-step explanation:
Hello!
∠E and the angle measuring 119 degrees (we'll refer to this as ∠A) can be classified as supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees (a straight line). Therefore, we can conclude that sum of ∠E and ∠A is 180 degrees. We can use this information to create the following equation:
∠E + 119 = 180
Now subtract 119 from both sides of the equation:
∠E = 61
We have now proven that ∠E is equal to 61 degrees.
I hope this helps!
The slope would be B) 0.05
