Answer:
y = 3x - 10
Step-by-step explanation:
Starting with 3x - y = 10, add y to both sides:
3x = 10 + y
Then subtract 10 from both sides:
3x - 10 = y
If you switch the sides of the equation, it can also be written as:
y = 3x - 10
Let's first say that L=W+44
and then remember that perimeter is P=2L+2W
replace the L with W+44
we then get P=2(W+44)+2W, now I'll solve it
P=2W+88+2W
P=4W+88
substitute 288 for P
288=4W+88
200=4W
50=W
so now we now how wide the court is. add 44 to find the length which gives you L=94
as always plug the numbers back into your perimeter equation to ensure L and W are correct
Penjelasan langkah demi langkah:
1)
![= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49](https://tex.z-dn.net/?f=%3D%20243%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%5C%5C%3D%20%28%5Csqrt%5B3%5D%7B243%7D%29%5E2%5C%5C%3D%207%5E2%5C%5C%3D%2049)
2) √32 +3√18-2√50
= √16*2 +3√9*2-2√25*2
= 4√2 + 3(3√2)-2(5√2)
= 4√2 + 9√2-10√2
= 13√2-10√2
= 3√2
3) 1000 ⅔×64⅙
![= (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6} \\= 10^2 \times 2\\= 100 \times 2\\= 200](https://tex.z-dn.net/?f=%3D%20%28%5Csqrt%5B3%5D%7B1000%7D%29%20%5E2%20%5Ctimes%20%282%5E6%29%5E%7B1%2F6%7D%20%20%5C%5C%3D%2010%5E2%20%5Ctimes%202%5C%5C%3D%20100%20%5Ctimes%202%5C%5C%3D%20200)
4) 3/4+√2
![3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }](https://tex.z-dn.net/?f=3%2F4%2B%5Csqrt%7B2%7D%20%5C%5C%3D%20%5Cfrac%7B3%2B4%5Csqrt%7B2%7D%20%7D%7B4%20%7D)
5) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
6) 12/3+√3
= 4+√3
7) √1000—2√40
= 10 -2 (√4*10)
= 10-2(2√10)
= 10 - 4√10
8) 2- ¹+3-¹
![= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5C%5C%20%3D%20%5Cfrac%7B3%2B2%7D%7B6%7D%5C%5C%20%3D%20%5Cfrac%7B5%7D%7B6%7D)
9)
![\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B%5Csqrt%7B5%7D%20%7D%5C%5C%20merasionalisasikan%5C%5C%3D%20%5Cfrac%7B5%7D%7B%5Csqrt%7B5%7D%20%7D%5Ctimes%20%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7B%5Csqrt%7B5%7D%20%7D%5C%5C%3D%20%5Cfrac%7B5%5Csqrt%7B5%7D%20%7D%7B%5Csqrt%7B25%7D%20%7D%5C%5C%3D%20%5Cfrac%7B5%5Csqrt%7B5%7D%20%7D%7B5%7D%5C%5C%20%3D%20%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7B1%7D)
Jika pernyataannya opsional, penyebutnya adalah 1
10) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
It is trueee....... hope this helps
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:
![l = 2w + 4](https://tex.z-dn.net/?f=l%20%3D%202w%20%2B%204)
The perimeter is 96 feet:
![p = 96](https://tex.z-dn.net/?f=p%20%3D%2096)
We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:
![p = 2l + 2w](https://tex.z-dn.net/?f=p%20%3D%202l%20%2B%202w)
We can solve for w by plugging the other two values into the last:
![p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}](https://tex.z-dn.net/?f=p%20%3D%202w%20%2B%202l%5C%5C96%20%3D%202w%20%2B%202%282w%20%2B%204%29%5C%5C96%20%3D%202w%20%2B%204w%20%2B%208%5C%5C88%20%3D%206w%5C%5C3w%20%3D%2044%5C%5Cw%20%3D%20%5Cfrac%7B44%7D%7B3%7D%5C%5Cw%20%3D%2014%5Cfrac%7B2%7D%7B3%7D)
Now we can find the length by plugging w into the first equation:
![l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}](https://tex.z-dn.net/?f=l%20%3D%202w%20%2B%204%5C%5Cl%20%3D%202%2814%5Cfrac%7B2%7D%7B3%7D%29%20%2B%204%5C%5Cl%20%3D%2029%5Cfrac%7B1%7D%7B3%7D%20%2B%204%5C%5Cl%20%3D%2033%5Cfrac%7B1%7D%7B3%7D)
One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:
![p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96](https://tex.z-dn.net/?f=p%20%3D%202l%20%2B%202w%5C%5Cp%20%3D%202%2833%5Cfrac%7B1%7D%7B3%7D%29%20%2B%202%2814%5Cfrac%7B2%7D%7B3%7D%29%5C%5Cp%20%3D%2066%5Cfrac%7B2%7D%7B3%7D%20%2B%2029%5Cfrac%7B1%7D%7B3%7D%5C%5Cp%20%3D%2096)
So we know our answer's correct