In how many ways can a committee of 4 students be formed from a pool of 6 students
1 answer:
You might be interested in
Answer:
<u>y = -x² + 4</u>
Step-by-step explanation:
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 0,4 )
So, h = 0 , k = 4
∴ y = a (x-0)² + 4
∴ y = a x² + 4
The parabola passes through points ( 2,0 )
∴ 0 = a 2² + 4
∴ 4 a = -4 ⇒ a = -4/4 = -1
∴ y = -x² + 4
So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>
See the attached figure.
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r =
r = 16 units
Answer:
31
Step-by-step explanation:
Let number of ten dollar bills be x .
So, number of five dollar bills = 2 x
Total amount of money in the cash register = 620 dollars
Amount of money in total cash as a result of five dollar bills = 2 x × 5 = 10 x dollars
Amount of money in total cash as a result of ten dollar bills = x × 10 = 10 x dollars
According to question ,
Total amount of money in the cash register = Amount of money in total cash as a result of five dollar bills + Amount of money in total cash as a result of ten dollar bills
⇒ 620 = 10 x + 10 x
⇒ 620 = 20 x
⇒ x = = 31
So, number of ten dollar bills = 31