Given:
Alexis has a rectangular backyard that is 50 yards by 55 yards.
She wants to build a fence that stretches diagonally from one corner to the opposite corner.
To find:
The length of the fencing she needs.
Solution:
We have,
Length = 50 yards
Width = 55 yards
We know that, the diagonal of a rectangle is




On further simplification, we get


Therefore, the length of the required fencing is 74.3 yards.
Answer:
3.) ![\displaystyle y - 4 = 4[x - 1]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%204%20%3D%204%5Bx%20-%201%5D)
2.) ![\displaystyle y + 5 = 2[x + 2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%205%20%3D%202%5Bx%20%2B%202%5D)
1.) ![\displaystyle y + 3 = 1\frac{1}{5}[x + 5]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%203%20%3D%201%5Cfrac%7B1%7D%7B5%7D%5Bx%20%2B%205%5D)
Step-by-step explanation:
In the Point-Slope Formula,
all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
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I am joyous to assist you anytime.
Answer:
x=4
Step-by-step explanation:
x=0 is an undefined slope(straight line vertically)
We need the line to pass through the point (4,3)
So, we just take the x coordinate from the equation and make it also have an undefined slope.
x = 4
We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .

Using Quotient identity for tangent function, we will get


Taking out sine function from the numerator

Cancelling the common term of numerator and denominator

The equation for a quadratic is as follows:
y = ax^2+bx+c
The first variable “a” determines whether the parabola opens up or down
The squared allows the equation to look like the parabola swoop when graphed.
The c term is the constant term