Answer:
20x² + 40y²
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x(2x + 3x) + 5y(5y + 3y)
<u>Step 2: Simplify</u>
- [Addition] (Parenthesis) Combine like terms: 4x(5x) + 5y(8y)
- Multiply: 20x² + 40y²
Answer:
I am not sure how your figure is, but I am using one of mine figure.
<1 is corresponding with <5.
<2 is corresponding with <6.
<3 is corresponding with <7.
<4 is a corresponding angle with the given angle.
<5 and <7 are vertical to the given angle.
<6 is a supplementary to the given angle.
I am not sure if answer is right, but hopw this helps, thank you :) !!
111 yards
Explanation
Step 1
to solve this we need to know the equivalence
![\begin{gathered} 3\text{ ft= 1 yd} \\ 3\text{ ft}\leftrightarrow1\text{ yd} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203%5Ctext%7B%20ft%3D%201%20yd%7D%20%5C%5C%203%5Ctext%7B%20ft%7D%5Cleftrightarrow1%5Ctext%7B%20yd%7D%20%5Cend%7Bgathered%7D)
Now, we can apply a rule of three
let x represents the number of yards in 333 ft, so
so
![\begin{gathered} if \\ 3\text{ ft}\rightarrow\text{ 1 yd} \\ \text{then} \\ 33\text{ ft}\rightarrow x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20if%20%5C%5C%203%5Ctext%7B%20ft%7D%5Crightarrow%5Ctext%7B%201%20yd%7D%20%5C%5C%20%5Ctext%7Bthen%7D%20%5C%5C%2033%5Ctext%7B%20ft%7D%5Crightarrow%20x%20%5Cend%7Bgathered%7D)
as the ratio is the same, we have a proportion
![\begin{gathered} \frac{3\text{ ft}}{1\text{ yd}}=\frac{33\text{ ft}}{x\text{ yd}} \\ \frac{3}{1}=\frac{33}{x} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B3%5Ctext%7B%20ft%7D%7D%7B1%5Ctext%7B%20yd%7D%7D%3D%5Cfrac%7B33%5Ctext%7B%20ft%7D%7D%7Bx%5Ctext%7B%20yd%7D%7D%20%5C%5C%20%5Cfrac%7B3%7D%7B1%7D%3D%5Cfrac%7B33%7D%7Bx%7D%20%5Cend%7Bgathered%7D)
Step 2
now, solve for x
![\begin{gathered} \frac{3}{1}=\frac{333}{x} \\ \text{cross multiply} \\ 3\cdot x=333\cdot1 \\ 3x=333 \\ \text{divide both } \\ \frac{3x}{3}=\frac{333}{3} \\ x=111 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B3%7D%7B1%7D%3D%5Cfrac%7B333%7D%7Bx%7D%20%5C%5C%20%5Ctext%7Bcross%20multiply%7D%20%5C%5C%203%5Ccdot%20x%3D333%5Ccdot1%20%5C%5C%203x%3D333%20%5C%5C%20%5Ctext%7Bdivide%20both%20%7D%20%5C%5C%20%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B333%7D%7B3%7D%20%5C%5C%20x%3D111%20%5Cend%7Bgathered%7D)
so, the answer is 111 yards
I hope this helps you
Answer: The value of x is 6.
Step-by-step explanation:
In the figure we have two secants.
A secant is a line that intersects a circle in exactly two points.
For the figure attached below:
![a\times b=c\times d](https://tex.z-dn.net/?f=a%5Ctimes%20b%3Dc%5Ctimes%20d)
So for the given figure,
![x\times 8=4\times (4+8)\\\\\Rightarrow\ x=\dfrac{4\times12}{8}\\\\\Rightarrow\ x=6](https://tex.z-dn.net/?f=x%5Ctimes%208%3D4%5Ctimes%20%284%2B8%29%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%5Cdfrac%7B4%5Ctimes12%7D%7B8%7D%5C%5C%5C%5C%5CRightarrow%5C%20x%3D6)
Hence, The value of x is 6.