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
Answer: 6
Step-by-step explanation:
From the question, we are informed that Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side.
The number of stones that are need would be gotten by dividing 5 by 5/6. This would be:
= 5 ÷ 5/6
= 5 × 6/5
= 30/5
= 6
Therefore, the answer is 6.
Answer:
135
Step-by-step explanation:
The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle
Two Angles are Supplementary when they add up to 180 degrees.
Two Angles are Complementary when they add up to 90 degrees
Let the angle = x
Supplement of the angle = y
The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle
x - 180 = 3(x - 90)
x - 180 = 3x - 270
Collect like terms
3x - x = 270 - 180
2x = 90
x = 90/2
x = 45
x+ y = 180
45 + y = 180
y = 180 -45
y = 135
Aruthmetic sequene is
an=a1+(n-1)d
where d=common difference between terms
adds 6 every time
d=6
first term is 8
a1=8
8+6(n-1)
distribute
8+6n-6
8-6+6n
2+6n is answer
1/2 / 3 = 1/2 x 1/3 = 1/6
each person will get 1/6 lb of chocolate
