Answer:
$636.53
Step-by-step explanation:
Tax: 9.75/100 × 579.98
= 56.54805
Total cost = 579.98 + tax
= 636.52805
Y = x² + 4x + 4.. Since the coefficient of x² =1, is positive, then this parabola opens upward & has a minimum.
Its axis of symmetry is = -b/a = -4/1 = 4 (so x=4)
1) When x=4, y= 4²+4(4)+4 => y=36 so the VERTEX has a minimum is at (4,36)
2)FOCUS.: To be able to calculate the focus, rewrite the equation in a standard form: y-k =a(x-h)² & y = x² + 4x + 4 could be written y=(x+2)², this means that k=0 & h=-2.
Now p being the distance between the VERTEX & the FOCUS, we apply the formula (x-2)² = 4P (y-k) , but k=0 & h=2 then (x-2)² = 4P(y-0) then P =1/4
3) DRECTRICE : y=k-P = 0-1/4 ==> y=-1/4 is the directrix
It total she would spend 65 minutes brushing the horse (this can also be 60=1 hour +5 =1 hour and 5 minutes)
BRAINIEST PLEASEEE
Answer:
The parts are 27 cm and 64 cm long.
Step-by-step explanation:
Let the shorter part be x.
"The longer part is 10 cm more than twice as long as the shorter part."
shorter part: x
longer part: 2x + 10
total length: x + 2x + 10
total length: 91
x + 2x + 10 = 91
3x + 10 = 91
3x = 81
x = 27
2x + 10 = 2(27) + 10 = 54 + 10 = 64
Answer: The parts are 27 cm and 64 cm long.
