Answer:
Step-by-step explanation:
Here we have an implicit function, and so we must use implicit differentiation to find dy/dx.
(d/dx)(3y² - 6 = x) results in 6y(dy/dx) - 0 = (dx/dx), or 6y(dy/dx) = 1.
Then the desired derivative is
1
(dy/dx) = ---------
6y
Answer:
£3.25
Step-by-step explanation:
You would add £1.25 and £00.50 which is £1.75 then you would do £5.00-£1.75 which is £3.25
For one pair of socks you pay $12 plus $2 shipping.
Let's use x as the variable for how many pairs of socks someone might buy.
If someone buys 5 pairs of socks, they will pay $62. $12 * 5 + $2
So, we can write the expression as 12x + 2.
Answer:
x = 105 degrees
Step-by-step explanation:
First, figure out the interior angle, we can do this ading the two angles and then subtracting the sum from 180 (since the interior angle of a triangle adds up to 180 degrees)
180 - (55 + 50) = 75
next, we can figure out x by taking the sum (75) and subtracting that from 180 since it is a supplementary angle:
180 - 75 = 105
x = 105
Answer:
5229 mm³
Step-by-step explanation:
Volume of square pyramid
b = base length = 25 mm
H = height
We have to find 'H' using Pythagorean theorem,
slant height (hypotenuse) = 28 mm
leg₁ = base length ÷ 2 = 25÷2 = 12.5
leg₂ = H
H² + (12.5)² = 28²
H² = 784 - 156.25
= 627.75
H = 25.01 mm
= 5229 mm³
