What is the midpoint of OA ?A: (2m, n)
B: (m, n)
C: (m – n, 0)
D: (m, 2n)
Answers
Answer:
(m,n)
Step-by-step explanation:
Since O is at the origin, we can take the coordinates of point A and divide them by 2 to find the midpoint
( 2m/2,2n/2)
The midpoint is at (m,n)
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Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3? (-1, ___)
The price of apples went from $0.30 per lb to $0.90 per lb in three years. Find the rate of change of the price of apples.
2.Write a ratio comparing the total pairs of socks in the drawer to the pairs of white socks in the drawer. Make sure it is in simplest form and that you write it in all 3 forms. * *A sock of drawers contains 21 pairs of socks: 8 pairs are blue, 3 pairs are yellow and 10 pairs are white.
Answers
The exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).
The position
Since the position of the carousel is (x, y) = (20cosθ, 20sinθ) and we need to find the position when θ = 5π/12 = 5π/12 × 180 = 75°
So, substituting the value of θ into the positions, we have
(20cos75°, 20sin75°)
The value of 20cos75°
20cos75° = 20cos(45 + 30)
Using the compound angle formula
cos(A + B) = cosAcosB - sinAsinB
With A = 45 and B = 30
cos(45 + 30) = cos45cos30 - sin45sin30
= 1/√2 × √3/2 - 1/√2 × 1/2
= 1/2√2(√3 - 1)
= 1/2√2(√3 - 1) × √2/√2
= √2(√3 - 1)/4
= (√6 - √2)/4
= (-√2 + √6)/4
So, 20cos75° = 20 × (-√2 + √6)/4
= 5 (-√2 + √6)
The value of 20sin75°
20sin75° = sin(45 + 30)
Using the compound angle formula
sin(A + B) = sinAcosB + cosAsinB
With A = 45 and B = 30
sin(45 + 30) = sin45cos30 + cos45sin30
= 1/√2 × √3/2 + 1/√2 × 1/2
= 1/2√2(√3 + 1)
= 1/2√2(√3 + 1) × √2/√2
= √2(√3 + 1)/4
= (√6 + √2)/4
= (√2 + √6)/4
So, 20sin75° = 20 × (√2 + √6)/4
= 5(√2 + √6)
Thus, (20cos75°, 20sin75°) = 5 (-√2 + √6), 5(√2 + √6).
So, the exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).
Learn more about position here:
Answers
Answer:
18
Step-by-step explanation:
Answer:
18 because it's asking for the tw
B. The cost for x children and y adults to go to the movies if the adult tickets are $11 and the child tickets are $6
C. The number of kids in a school class if there are 6 girls and 11 boys
D. The total number of marbles in a jar if there are 11 green and 6 red
Answers
Answers
Answer:
C. a = 3
b = 7
c = -20
Step-by-step explanation:
x = -b+/- (sq) b^2 - 4ac.
Well the way to plug the numbers in is by using this equation: Ax^2 + Bx + C = 0
S if you use your equation : 3x^2 = 20 - 7x
First you have to move everything to one side.
So it'll look like this:
3x^2 = 20 - 7x
-20 -20
3x^2 - 20 = -7x
+7x +7x
3x^2 - 20 + 7x = 0
don't forget that... Ax^2 +Bx+ C= 0
3 = A
7 = B
-20 = C
Answers
15+1=1/6n+1/6n
16=1+1/6n
16=2/6n
16=1/3n
16*3/1=n
therefore, n=48.........
Answer:
n=48
Step-by-step explanation:
y = 2/3x + 7
Answers
y = (2/3)x + 7
y = (2/3)5 + 7
y = 10/3 + 7
y = 10/3 + 21/3
y = 31/3
y = 10 1/3
The point is (5, 10 1/3) OR (5, 31/3).