Answer:
3
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
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
84
Step-by-step explanation:
All three angles add up to 180 degrees.
Since it is a right triangle, there is a 90 degrees angle. And we know another angle is 6 degree. So we use the formula: 180 - (known angle + known angle) = unknown angle
Plugging in the information we get: 180 - (90 + 6) = x
180 - 96 = 84
So x = 84
We can check our work by adding all known angles to see if it is equal to 180 using the formula known angle + known angle + known angle = 180 degrees
Plugging in the information we get: 90 + 6 + 84 = 180
96 + 84 = 180
180 = 180
So the answer 84 is correct
Answer
Ali has 103 cookies
Step-by-step explanation:
6 x 16 = 96 96 + 7 = 103
A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
