Answer:
see explanation
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
Given the equation in standard form : ax² + bx + c : a ≠ 0
then the x-coordinate of the vertex is
= - 
j(x) = x² - 12x + 7 is in standard form
with a = 1, b = - 12 and c = 7, hence
= - 
= 6
substitute x = 6 into j(x) for y- coordinate
y = 6² - 12(6) + 7 = 36 - 72 + 7 = - 29
vertex = (6, - 29 ) and
j(x) = (x - 6)² - 29 ← equation in vertex form
Simplify both sides of the equation.
---------> 14a + 5 = 9a − 5
Subtract 9a from both sides.
-------=> 5a + 5 = − 5
Divide both sides by 5.
--------> −2
<h2>The correct answer: a
= −2</h2>
Answer: 36.84
(lmk if this isnt right)
Step-by-step explanation:
To find the perimeter of the rectangle:
3+3+3+3+3+3=18
or
3(6)=18
To find the diameter of the circle:
12-(3+3)
12-6=6
You can combine the 2 half circles to make 1 full circle since they both have the same diameter. Use the circumference formula to solve.
C=πd
Substitute
C=3.14(6)
Multiply
C=18.84
Add the perimeter of the rectangle and the circumference of the circle.
18+18.84=36.84
This is what I got as my answer. Hope it helps!
To find the answer, you would first subtract 17.19-3=14.19. Then, divide 14.19/0.11=129. He was billed for 129 minutes
(You divide 14.19/0.11 because 0.11= 11 cents
