Answer:
y = x - 9
Step-by-step explanation:
the line has a slope of 1 so you do not have to include it in the equation and it crosses the y-axis at -9 so the y-intercept is -9
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
Dividing the parallelogram in half and applying trigonometry is the easiest solution for me.
Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

And then we get that if
then
. So it has a critical point at
.
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.
Answer:
9
Step-by-step explanation:
Given: Subtract 9 from 10. Multiply this difference by 3, square this product.
Now, lets simplify it.
![[(10-9)\times 3]^{2}](https://tex.z-dn.net/?f=%5B%2810-9%29%5Ctimes%203%5D%5E%7B2%7D)
Using PEDMAS rule to solve it
First working on Parenthesis
= ![[(1)\times 3]^{2}](https://tex.z-dn.net/?f=%5B%281%29%5Ctimes%203%5D%5E%7B2%7D)
Opening the parenthesis
= ![[1\times 3]^{2}](https://tex.z-dn.net/?f=%5B1%5Ctimes%203%5D%5E%7B2%7D)
= ![[3]^{2}](https://tex.z-dn.net/?f=%5B3%5D%5E%7B2%7D)
= 
∴ Answer is 9.