Answer:
12
Step-by-step explanation:
area =1/2 base×height
=1/2 ×4×6
=12
50:40=x:35
5/4=x/35
times both sides by (4*35)
5*35=4x
175=4x
divide both sides by 4
43.75=x
costs $43.75
The hypotenuse would be 9 inches as 6 is equal to 2/3 of 9 :)
Answer:
![\bold{x=-4\pm\sqrt{46}}](https://tex.z-dn.net/?f=%5Cbold%7Bx%3D-4%5Cpm%5Csqrt%7B46%7D%7D)
Step-by-step explanation:
![(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5C%5C%5Cx%5E2%2B8x-30%3D0%5C%5C%5C%5C%5Cunderbrace%7Bx%5E2%2B2%5Ccdot%20x%5Ccdot%204%2B4%5E2%7D-4%5E2-30%3D0%5C%5C%5C%5C%7B%7D%5Cqquad%28x%2B4%29%5E2%5C%2C-%5C%2C16-30%3D0%5C%5C%5C%5C%7B%7D%5Cqquad%5C%20%5C%20%28x%2B4%29%5E2%3D46%5C%5C%5C%5C%20%7B%7D%5Cqquad%5C%20%5C%20x%2B4%3D%5Cpm%5Csqrt%7B46%7D%5C%5C%5C%5C%20%7B%7D%5Cqquad%5C%20%5C%20x%3D-4%5Cpm%5Csqrt%7B46%7D)