Answer:
unit price is $0.81 cents
Step-by-step explanation:
To find the unit price we have to divide the total price by the number of golf balls.
38.97 ÷ 48=.811875 rounded to the nearest cent .81
Answer:
k = -8c.
Step-by-step explanation:
y^2 = kx
Find the slope of the tangent by differentiating:
y' 2y = k
y' = k / 2y = the slope of the tangent.
The given equation of the tangent is y = -2x + c so the slope = -2.
Therefore k/2y = -2 so k = -4y and y = -k/4
y^2 = kx so k^2/16 = kx giving x = k/16.
Substituting for x and y in y = -2x + c:
-k/4 = -2 k/16 + c
-k/4 = -k/8 + c
c = -k/4 + k/8 = -k/8.
So -k = 8c
k = -8c.
Answer:
10
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
64+36 = c^2
100 = c^2
Take the square root of each side
sqrt(100) = sqrt(c^2)
10 = c
Hello from MrBillDoesMath!
Answer: 9
Discussion
By the Pythagorean theorem, the length of the third side (the hypotenuse) in the triangle with sides 4 and 6 is sqrt ( 4^2 + 6^2) = sqrt (52)
Applying Pythagoras to the left most triangle (sides, x and 6) gives:
x^2 + 6^2 = m^2 (I am calling the unknown side "m)
Finally, in the big right triangle (the one containing the two right triangles)
(x + 4) ^2 = (sqrt(52)) ^2 + m^2
OK! Subtract the first equation from the second:
(x+4)^2 = 52 + m^2
x^2 + 36 = m^2
-----------------------------------------------------
( x+4)^2 - x^2 - 36 = 52 + (m^2 - m^2) =>
x^2 + 8x + 16 - x^2 -36 = 52 =>
x^2 - x^2 + 8x + 16 -36 = 52 =>
0 + 8x - 20 = 52 =>
8x = 72 =>
x = 9
Thank you,
MrB
