9514 1404 393
Answer:
see below for the graph
Step-by-step explanation:
We can specify the location of the minimum and the axis of symmetry using the vertex form of the quadratic equation:
y = a(x -h)² +k . . . . . . . vertex (h, k); scale factor 'a'
We can put the given values into the equation to see what 'a' needs to be to make the function have the desired y-intercept.
-3 = a(0 -(-2))² +(-5)
2 = 4a . . . . add 5 and simplify
a = 1/2 . . . . divide by 4
The equation for the desired function can be ...
y = 1/2(x +2)² -5
Answer:
Step-by-step explanation:
-34 = (9/5)(-20) + b
b = -34 + 36 = 2
y = (9/5)x + 2
Answer:
c = 2
Step-by-step explanation:
2c – 4 = 3(4 – 2c)
Expand brackets:
⇒ 2c – 4 = 12 - 6c
Add 6c to both sides:
⇒ 8c – 4 = 12
Add 4 to both sides:
⇒ 8c = 16
Divide both sides by 8:
⇒ c = 2
By connecting the distances traveled by the jet and the distance between them, we form a right triangle with hypotenuse equal to the unknown distance.
Using the Pythagorean,
h² = a² + b²
Substituting,
h² = (108 mi)² + (214 mi)²
h = 239.71 miles
Thus, the distance between them is approximately 239.71 miles.
I think the answer is C, I could be wrong though
