Answer:
(3,1)
Step-by-step explanation:
y=-4x^2+24x-35
x-intercept of the vertex formula:
v=-b/2a
a=-4
b=24,
c=-35
v = - 24/2(-4)
v = -24/-8
v = 3
substitute x as v
y= -4(3)^2 + 24(3) - 35
y= -4(9) + 72 - 35
y = -36 +72 - 35
y = 36 - 35
y = 1
therefore the vertex is
(3,1)
Answer:
B. x = 5/2
Step-by-step explanation:
quadratic formula is:
(
± 
)/2a
when 
+ bx + c = 0
in this equation, a = 1, b = -5, c = 25/4
plug those into the equation and simplify to get x=5/2
(because b^2-4ac in this case is equal to 0, there is only one answer)
Answer:
Step-by-step explanation:
<h2> </h2>
FIRST
I solve the angles on the center (2,3,4)
∠2 is as big as 121° because they are vertical angles
∠3 is as big as ∠4 because they are vertical angles
The sum of angles on the center is 360° because they make a round of circle
121° + ∠2 + ∠3 + ∠4 = 360°
121° + 121° + ∠3 + ∠3 = 360°
242° + 2(∠3) = 360°
2(∠3) = 118°
∠3 = 59°
∠4 = 59°
SECOND
I want to find angle on the left (1) with interior angles of triangle
The sum of interior angles in triangle = 180°
∠1 + ∠3 + 48° = 180°
∠1 + 59° + 48° = 180°
∠1 = 73°
THIRD
I'm going to the right triangle. The right triangle is congruent with the left triangle. So the angles that facing each other has the same number.
∠7 = 48°
∠6 = ∠1 = 73°
FOURTH
I'm going to the upper triangle and find ∠5
The sum of interior angles in triangle = 180°
35° + ∠2 + ∠5 = 180°
35° + 121° + ∠5 = 180°
∠5 = 24°
LAST
I'm going to the lower triangle. The lower triangle is congruent with the upper triangle. So the angles that facing each other has the same number.
∠8 = 35°
∠9 = ∠5 = 24°
THE SUMMARY
∠1 = 73°
∠2 = 121°
∠3 = 59°
∠4 = 59°
∠5 = 24°
∠6 = 73°
∠7 = 48°
∠8 = 35°
∠9 = 24°
