Answer:
explain please and thank you
Answer:
no answers
math.....................................
Answer:
40
Step-by-step explanation:
Substitute 25 for x
![{25}^{2} - 30(25) + 225 = 100](https://tex.z-dn.net/?f=%20%7B25%7D%5E%7B2%7D%20%20-%2030%2825%29%20%2B%20225%20%3D%20100)
100 is the area of the square so that means
10 is the side length of each side of the square.
Multiply 4 by 10 to get the perimeter.
![4 \times 10 = 40](https://tex.z-dn.net/?f=4%20%5Ctimes%2010%20%3D%2040)
Answer:
The slope of the green line is 3.
Step-by-step explanation:
<em><u>Definition: </u></em>If the two lines are said to be perpendicular, than the multiplication of their slope is -1.
In other words, the slope of the perpendicular line is the negative reciprocal of the given slope of the line.
Here we are slope of the red line, which is -1/3
Let's take it as "m1"
Let's take "m2" the slope of the green line.
By the above definition,
![m_1 *m_2 = -1](https://tex.z-dn.net/?f=m_1%20%2Am_2%20%3D%20-1)
Given: ![m_1 = -\frac{1}{3}](https://tex.z-dn.net/?f=m_1%20%3D%20-%5Cfrac%7B1%7D%7B3%7D)
Now plug m1 value in the above statement, we get
![-\frac{1}{3} *m_2 = -1](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7D%20%2Am_2%20%3D%20-1)
Multiply both sides by reciprocal of -1/3. The reciprocal of -1/3 = -3
![-3*-\frac{1}{3} *m_2 = -3*-1](https://tex.z-dn.net/?f=-3%2A-%5Cfrac%7B1%7D%7B3%7D%20%2Am_2%20%3D%20-3%2A-1)
![m_2 = 3](https://tex.z-dn.net/?f=m_2%20%3D%203)
Therefore, the slope of the green line is 3.
Answer:
x = 39
Step-by-step explanation:
We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:
80^2 + x^2 = 89^2
6400 +x^2 = 7921
x^2 = 1521
x = ![\sqrt{1521}](https://tex.z-dn.net/?f=%5Csqrt%7B1521%7D)
x = 39