<span>Step 1 :</span><span>Simplify 13y2-5yx - 23x2</span><span>
1.1 </span> Factoring <span> 13y2 - 5yx - 8x2</span> Try to factor this multi-variable trinomial using trial and error<span> </span>Found a factorization : (y - x)•(13y + 8x)
Final result :<span> (y - x) • (13y + 8x)</span>
Answer:
The dimensions of the rectangle are length = 7cm and width = 6cm.
Step-by-step explanation:
In order to solve for the dimensions, you will need to set up two equations in order to solve for the missing variable. Given the information that the length is 5 cm less then twice it's width, using 'L' for length and 'w' for width we get the following equation: L = 2w - 5. Perimeter is the sum of all the sides, or in the case of a rectangle P = 2w + 2L. We can then use our expression for 'L' in our perimeter formula: 26 = 2w + 2(2w - 5). First, using the distributive property we get: 26 = 2w + 4w - 10. Next, we combine like terms: 26 = 6w - 10. Then, we use inverse operations to isolate the variable: 26 + 10 = 6w - 10 + 10 to get 36 = 6w, divide both sides by 6 to get w = 6. Lastly, plug in the value of 'w' to 'L': L = 2(6) - 5 or L = 7.
This is easy . There is a 20 percent discount which means now it’s only (100-20%) discount.
This is 80% discount.
Money saved is equal to 100-80%
=20%
And that 20% is equal to 13$ as per the passage.
So now we need to calculate 1 percent of the item without discount .
This is equal to 13/20
This is equal to .65
Now to find the original price you will need to multiply .65 to 100 this is equal to 65$.
