Answer:
Step-by-step explanation:
To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:
- Square both sides of the equation as following:
- Now you must subtract a² from each side of the equation, then you obtain:
- Apply square root to both sides:
Then:
Answer:
The line that splits the x is parallel to the other two horizontal lines. On account of this, you can get that that the topmost part of it's angle is 30° because it is the congruent alternate interior angle to the topmost 30°. The same applies with the bottomost part of the x's angle and the 40° on the bottomost line. Then you get that part of x is 30° and the other part is 40°, so x as a whole is 70°, I think.
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
The required equation of the quadratic function is where, a is a constant.
Putting a=1, we get
Therefore, the required quadratic function is .
