Answer:
The equation in vertex form is:
Step-by-step explanation:
Recall that the formula of a parabola with vertex at 
is given by the equation in vertex form:
where the parameter 
can be specified by an extra information on any other point apart from the vertex, that parabola goes through.
In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:
we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter 
:
The, the final form of the parabola's equation in vertex form is:
Answer:
I am pretty sure it is 15.
Step-by-step explanation:
Answer:
D = 120° , E = 30° , F = 30°
Step-by-step explanation:
Let D = 4x
Let E&F = x
4x + x + × = 180°[angles in triangle is 180°]
6x = 180°
x = 180/6
x = 30°
E = 30°
F =30°
D =4(30°)
=120°
(Correct me if i am wrong)
Answer:
Yes!
Step-by-step explanation:
We know that right triangles follow the Pythagorean Theorem, where
So we will put our side lengths into this formula, keeping in mind that c = the hypotenuse, which is the longest side. a and b are fairly arbitrary.
If this works, we know it's a right triangle.
1089 + 1936 = 3025
3025 = 3025
It worked! It's a right triangle!!
Answer:
A.
Step-by-step explanation:
A.
In graph A no two points have the same x-coordinate. That makes it a function.
