All you have to do it <span>Identify the legs and the hypotenuse of the triangle. You know that the triangle is a right triangle since the ground and the raised portion of the porch are perpendicular—this means you can use the Pythagorean Theorem to solve this problem. Identify a, </span>b<span>, and c. Use the Pythagorean Theorem to find the </span>length<span> of c.</span>
Answer:
See below.
Step-by-step explanation:
(a)
To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.
![(\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) =](https://tex.z-dn.net/?f=%20%28%5Cdfrac%7B1%7D%7B2%7Dx%20-%20%5Cdfrac%7B1%7D%7B4%7D%29%285x%5E2%20-%202x%20%2B%206%29%20%3D%20)
![= \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dx%20%5Ctimes%205x%5E2%20-%20%5Cdfrac%7B1%7D%7B2%7Dx%20%5Ctimes%202x%20%2B%20%5Cdfrac%7B1%7D%7B2%7Dx%20%5Ctimes%206%20-%20%5Cdfrac%7B1%7D%7B4%7D%20%5Ctimes%205x%5E2%20%2B%20%5Cdfrac%7B1%7D%7B4%7D%20%5Ctimes%202x%20-%20%5Cdfrac%7B1%7D%7B4%7D%20%5Ctimes%206%20)
![= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B5%7D%7B2%7Dx%5E3%20-%20x%5E2%20%2B%203x%20-%20%5Cdfrac%7B5%7D%7B4%7Dx%5E2%20%2B%20%5Cdfrac%7B1%7D%7B2%7Dx%20-%20%5Cdfrac%7B3%7D%7B2%7D)
![= \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B5%7D%7B2%7Dx%5E3%20-%20%5Cdfrac%7B9%7D%7B4%7Dx%5E2%20%2B%20%5Cdfrac%7B7%7D%7B2%7Dx%20-%20%5Cdfrac%7B3%7D%7B2%7D%20)
(b)
No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.
Answer:
X is right there
Step-by-step explanation:
See?
Here we can first find the area of yard and then subtract the area of vegetable garden to get the required area.
The formula to find area is given by:
![A = l* w](https://tex.z-dn.net/?f=%20A%20%3D%20l%2A%20w%20)
Now we find area of yard:
length is 25 ft and width is 15 ft.
![A = 25 * 15](https://tex.z-dn.net/?f=%20A%20%3D%2025%20%2A%2015%20)
Area of yard = 375 ft²
Area of vegetable garden:
length = 8ft and width =8ft
So the vegetable garden is a square.
Area = 8*8
Area of vegetable garden =64 ft²
Area of backyard to be laid with grass = Area of yard-Area of vegetable garden
Area required = 375 -64 = 311 ft²
Answer : The area of backyard in which grass is to be laid is 311 square feet.
Answer:
16
Step-by-step explanation:
4+4=8
8+8=16