Answer:
72
Step-by-step explanation:
70-(-2)=70+2=72
Answer:
![A) 14.89~ units](https://tex.z-dn.net/?f=A%29%2014.89~%20units)
Step-by-step explanation:
![AD=C=3.42~, AC=d=4.57, ~CD=a=4.39](https://tex.z-dn.net/?f=AD%3DC%3D3.42~%2C%20AC%3Dd%3D4.57%2C%20~CD%3Da%3D4.39)
![S=\frac{C+d+a}{2} =\frac{3.42+4.57+4.39}{2} =6.19](https://tex.z-dn.net/?f=S%3D%5Cfrac%7BC%2Bd%2Ba%7D%7B2%7D%20%3D%5Cfrac%7B3.42%2B4.57%2B4.39%7D%7B2%7D%20%3D6.19)
![Using ~ heron's~ formula:](https://tex.z-dn.net/?f=Using%20~%20heron%27s~%20formula%3A)
![Area~ of ADC~is:](https://tex.z-dn.net/?f=Area~%20of%20ADC~is%3A)
⇒ ![\sqrt{s(s-c)(s-d)(s-a)}](https://tex.z-dn.net/?f=%5Csqrt%7Bs%28s-c%29%28s-d%29%28s-a%29%7D)
⇒ ![\sqrt{6.19(6.19-3.42)(6.19-4.57)(6.19-4.39)}](https://tex.z-dn.net/?f=%5Csqrt%7B6.19%286.19-3.42%29%286.19-4.57%29%286.19-4.39%29%7D)
⇒ ![\sqrt{6.19*2.77*1.62*1.8}](https://tex.z-dn.net/?f=%5Csqrt%7B6.19%2A2.77%2A1.62%2A1.8%7D)
⇒
⇒ ![7.071](https://tex.z-dn.net/?f=7.071)
![Area ~of ~ ABD ~is:](https://tex.z-dn.net/?f=Area%20~of%20~%20ABD%20~is%3A)
⇒ ![\sqrt{s(s-d)(s-b)(s-a)}](https://tex.z-dn.net/?f=%5Csqrt%7Bs%28s-d%29%28s-b%29%28s-a%29%7D)
⇒ ![\sqrt{8.35(8.35-7.84)(8.35-3.42)(8.35-5.44)}](https://tex.z-dn.net/?f=%5Csqrt%7B8.35%288.35-7.84%29%288.35-3.42%29%288.35-5.44%29%7D)
⇒ ![\sqrt{8.35*0.51*4.93*2.91}](https://tex.z-dn.net/?f=%5Csqrt%7B8.35%2A0.51%2A4.93%2A2.91%7D)
⇒
⇒ ![7.816](https://tex.z-dn.net/?f=7.816)
![So, Area ~ of ~quadrilateral~ ABCD ~ =](https://tex.z-dn.net/?f=So%2C%20Area%20~%20of%20~quadrilateral~%20ABCD%20~%20%3D)
![A=Area ~of ~ADC+Area ~ of ABD:](https://tex.z-dn.net/?f=A%3DArea%20~of%20~ADC%2BArea%20~%20of%20ABD%3A)
![A=7.071+7.816](https://tex.z-dn.net/?f=A%3D7.071%2B7.816)
![A=14.89 ~units^2](https://tex.z-dn.net/?f=A%3D14.89%20~units%5E2)
<u>-----------------------</u>
hope it helps...
have a great day!!
X(7-x)>8 perform indicated multiplication on left side
7x-x^2>8 divide both sides by -1
x^2-7x<-8 halve the linear coefficient, square it, and add it to both side ie (-7/2)^2=12.25
x^2-7x+12.25<4.25 now the left side is a perfect square
(x-3.5)^2<4.25 take the square root of both sides
x-3.5<±√4.25 add 3.5 to both sides
x<3.5±√4.25
So x>3.5-√4.25 and x<3.5+√4.25 or if you want approximations
x>1.44 and x<5.56 or in interval notation:
x=(1.44, 5.56) (to nearest hundredths)