Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0
Answer:
(B) The measure of angle SUT is equal to 90 degrees
Step-by-step explanation:
It is given that in In triangle STU, .
We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.
that is:
where u is the hypotenuse, s is the base and t is the perpendicular.
Thus, the angle SUT should be of 90°.
Thus, The measure of angle SUT is equal to 90 degrees.
Hence, option B is correct.
Answer:
54 = 2 × 3 × 3 × 3 = 2 × 3³
Initial value: x = 0
The initial value is 7.
The domain is all real numbers.
The range is all real numbers greater than zero.