Answer:
a) ![\displaystyle \sqrt{17} + \sqrt{26} + 5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B17%7D%20%2B%20%5Csqrt%7B26%7D%20%2B%205)
Step-by-step explanation:
To find the length of all three sides, you have to use the Distance Formula:
![\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = D](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E2%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E2%7D%20%3D%20D)
<em>D</em>[2, 6], and <em>B</em>[−2, 3] → <em>DB</em>
![\displaystyle \sqrt{[-2 - 2]^2 + [-6 + 3]^2} = \sqrt{[-4]^2 + [-3]^2} = \sqrt{16 + 9} = \sqrt{25} = 5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B%5B-2%20-%202%5D%5E2%20%2B%20%5B-6%20%2B%203%5D%5E2%7D%20%3D%20%5Csqrt%7B%5B-4%5D%5E2%20%2B%20%5B-3%5D%5E2%7D%20%3D%20%5Csqrt%7B16%20%2B%209%7D%20%3D%20%5Csqrt%7B25%7D%20%3D%205)
<em>DB</em><em> </em>is 5 units long.
<em>E</em>[3, 2] and <em>B</em>[−2, 3] → <em>EB</em>
![\displaystyle \sqrt{[-3 - 2]^2 + [-2 + 3]^2} = \sqrt{[-5]^2 + 1^2} = \sqrt{25 + 1} = \sqrt{26}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B%5B-3%20-%202%5D%5E2%20%2B%20%5B-2%20%2B%203%5D%5E2%7D%20%3D%20%5Csqrt%7B%5B-5%5D%5E2%20%2B%201%5E2%7D%20%3D%20%5Csqrt%7B25%20%2B%201%7D%20%3D%20%5Csqrt%7B26%7D)
<em>EB</em><em> </em>is
units long.
<em>E</em>[3, 2] and <em>D</em>[2, 6] → <em>ED</em>
![\displaystyle \sqrt{[-3 + 2]^2 + [-2 + 6]^2} = \sqrt{[-1]^2 + 4^2} = \sqrt{1 + 16} = \sqrt{17}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B%5B-3%20%2B%202%5D%5E2%20%2B%20%5B-2%20%2B%206%5D%5E2%7D%20%3D%20%5Csqrt%7B%5B-1%5D%5E2%20%2B%204%5E2%7D%20%3D%20%5Csqrt%7B1%20%2B%2016%7D%20%3D%20%5Csqrt%7B17%7D)
<em>ED</em> is
units long.
Altogether, you have the perimeter of
units.
I am joyous to assist you anytime.
* Since we are talking about distance, we ONLY want the NON-NEGATIVE roots.
N+2
n+4
n+6
n+2+n+4+n+6
3n+12=-6
3n=-18
n=-6
the value of the greatest integer is -2
Answer: See explanation
Step-by-step explanation:
You didn't give the expressions but here are some expressions
a. ✓4x²y^4. 1. 2x✓y
b. ✓8x²y. 2. 2y✓2x
c. ✓4x²y. 3. 2xy²
d. ✓16xy². 4. 2x✓2y
e. ✓8xy². 5. 4y✓x
a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4
= 2 × x × y²
= 2xy²
Therefore, ✓4x²y^4 = 2xy²
b. ✓8x²y = ✓8 × ✓x² × ✓y
= ✓4 × ✓2 × ✓x² × ✓y
= 2 × ✓2 × x × ✓y
= 2x✓2y
Therefore, ✓8x²y = 2x✓2y
c. ✓4x²y = ✓4 × ✓x² × ✓y
= 2 × x × ✓y
= 2x✓y
Therefore, ✓4x²y = 2x✓y
d. ✓16xy² = ✓16 × ✓x × ✓y²
= 4 × ✓x × y
= 4y✓x
Therefore, ✓16xy² = 4y✓x
e. ✓8xy² = ✓8 × ✓x × ✓y²
= ✓4 × ✓2 × ✓x × ✓y²
Answer:
x = 69
Step-by-step explanation:
x+x+(x-27) = 180
3x = 207
x = 69
First, we have to calcutate the tax:
6%*228.00=13.2
(
![\frac{6}{100} *228= \frac{3}{50} *228= \frac{684}{50} = \frac{342}{25} =13.68](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B100%7D%20%2A228%3D%20%5Cfrac%7B3%7D%7B50%7D%20%2A228%3D%20%5Cfrac%7B684%7D%7B50%7D%20%3D%20%5Cfrac%7B342%7D%7B25%7D%20%3D13.68)
so that's the tax he has to pay.
we add this to the cost of the landmover:
228+13.68=241.68
and that's the total cost!