Answer:

Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let h represent the hypotenuse, then
h² = 5² + (
)² = 25 + 2 = 27 ( take the square root of both sides )
h =
← exact value
Answer:
x = 32.6666667
Step-by-step explanation:
12(x - 2) + 3x = 12(x + 6) + 2
Distribute;
12x - 24 + 3x = 12x + 72 + 2
Collect like terms;
15x - 24 = 12x + 74
Subtract 12x from both sides;
3x - 24 = 74
Add 24 to both sides;
3x = 98
Divide both sides by 3;
x = 32.6666667
Answer:
Step-by-step explanation:
Given the equation 4x²+ 49y² = 196
a) Differentiating implicitly with respect to y, we have;

b) To solve the equation explicitly for y and differentiate to get dy/dx in terms of x,
First let is make y the subject of the formula from the equation;
If 4x²+ 49y² = 196
49y² = 196 - 4x²

Differentiating y with respect to x using the chain rule;
Let 





c) From the solution of the implicit differentiation in (a)

Substituting
into the equation to confirm the answer of (b) can be shown as follows

This shows that the answer in a and b are consistent.
Answer:
<u>15.4 gallons</u>
Step-by-step explanation:
This can be solved using a proportion. Keep in mind that "
" is miles and "
" is gallons

Cross multiply.

Solve.

Therefore, Adbul would need 15.4 gallons to drive 418 miles.
You don't have a picture here , but try to see if any ray are maybe parralell .
Hope this helps!