Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
Well, to find the circumference of a circle, we can use the formula
C=2
r.
So just plug in 3.5 into the formula.
C=2
3.5.
Multiply and we get C=21.99. which is about 22
So our answer would be C. 22 feet.
Hope I helped!
F(x)=[(1/x)-5]+8 °°°°°°°°°°°°
Answer:
(A) Quadrilateral 1 is congruent to quadrilateral 2 because the transformations are rigid.
Step-by-step explanation:
This is because since it's only being reflected across the y-axis and translated 8 units down, it's still an isometric.
Isometry or rigid transformation is the opposite of a non-rigid transformation and occurs during translations, reflections and rotations. Non-rigid transformations occur in dilations.
Isometry basically keeps all measure angles and distances of the polygon the same before and after a transformation.
We rewrite the statement correctly:
"A linear function has an y-intercept of 12 and a slope of 3/8"
Therefore, the linear function is:
y = (3/8) x + 12
We look for the linear function of the table:
y-yo = m (x-xo)
Where,
m = (y2-y1) / (x2-x1)
m = ((- 3/8) - (- 3/4)) / ((1/3) - (- 2/3))
m = ((- 3/8) - (- 6/8)) / (3/3)
m = ((- 3 + 6) / 8) / (1)
m = 3/8
(xo, yo) = (- 2/3, -3/4)
Substituting:
y + 3/4 = (3/8) (x + 2/3)
y = (3/8) x + 2/8 - 3/4
y = (3/8) x + 1/4 - 3/4
y = (3/8) x + -2/4
y = (3/8) x + -1/2
The lines are:
y = (3/8) x + 12
y = (3/8) x + -1/2
Answer:
It has the same slope and a different y-intercept
