(The second one)
Noah ran 8.67 miles in 1 hour and 20 minutes
If we convert the fraction to a decimal (for the miles part) we get 8.67 or 8 2/3 miles.
If 1/3 of an hour is 20 minutes, and an hour is 60 minutes, we add 20 4 times, which gets us to 80, which is 20 past an hour.
The band has sold 1,890,000 copies or 1.89 x 10^6
Answer:
A lies on (1,3) a reflection across the y-axis is (x,y) to (-x,y). The x turns the opposite and y stays the same so...
(-1,3)
D) 30
A polygon can rotate a total of 360. This one has 12 sides and 12 angles that are all congruent. So to coincide with original image, it must rotate 1/12 of the way around
360/12=30
The value of h is 9/12 and the value of k is 35/48
<h3>How to solve the equation?</h3>
The equation is given as:
6x^2 +9x - 1 = 0
Add 1 to both sides of the equations
6x^2 +9x - 1 + 1= 0 + 1
Evaluate the sum
6x^2 +9x = 1
Divide through the equation by 6
x^2 +9/6x = 1/6
Take the coefficient of x
k = 9/6
Divide by 2
k/2 = 9/12
Square both sides
(k/2)^2 = (9/12)^2
So, we add (9/12)^2 to both sides of the equation x^2 +9/6x = 1/6
x^2 +9/6x + (9/12)^2 = 1/6 + (9/12)^2
Next, we express the left-hand side as a perfect square
(x^2 + 9/12)^2 = 1/6 + (9/12)^2
The form of the equation is given as:
(x + h)^2 = k
So, we have:
h = 9/12
k = 1/6 + (9/12)^2
Simplify
k = 1/6 + (3/4)^2
Evaluate the exponent
k = 1/6 + 9/16
This gives
k = (8 + 27)/48
Evaluate
k = 35/48
Hence, the value of h is 9/12 and the value of k is 35/48
Read more about completing the square at:
brainly.com/question/4331586
#SPJ1
