Answer:

Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:

Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:

The parabola also passes through (4,19) hence it must satisfy its equation.



We divide both sides by 25 to get:

Hence the quadratic function is:

An equilateral triangles has 3 equal sides and 3 equal angles.
All the angles of an equilateral triangle have a measure of 60 degrees.
Using the Pythagorean theorem, the length of the hypotenuse squared is the length of one leg squared plus the length of another leg squared.
Here's the equation for the Pythagorean theorem.
Let c be the length of the hypotenuse.
Let a and b be the length of the two legs.
a^2 + b^2 = c^2
Have an awesome day! :)
Answer:
The rearrangement can be 45, 987 , 310
Step-by-step explanation:
Here, we want to rearrange the number such that 9 is worth 10 times as what it is worth presently
The value of 9 presently is 90,000
So 10 times as worth will be 10 * 90,000 = 900,000
So we can have the new arrangement as;
45, 987, 310
Answer:
192 inches or 16 feet.
Step-by-step explanation:
Surface area is height x width x length, plug in your numbers are you get:
8 inches x 2 inches x 12 inches = 192 inches
Answer:
(-4,2)
Step-by-step explanation:
The line going horizontal is the X-axis. And they line going up and down is the y-axis. The way you write the location of a point is (X,Y). Hope this helps!!