Answer:

the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center

the parabola starts at (0,0) that is (x,y)

subtract 25 from both sides


divide both sides by 2500


the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60

y=24
the height of the arch 10 feet from the center is 24 feet
Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
Answer:
4. SAME SLOPE, SAME Y INTERCEPT.
When this happens... The system of Equations has an Infinite Number of solutions.
A IS YOUR ANSWER
5.
A system of Equations has no solution when the graph of the system are PARALLEL LINES.
OPTION D IS YOUR ANSWER.