X2 + 5x - 6 =0
(x +6)(x-1)=0
Answer:
Step-by-step explanation:
sides =8 cm, 17 cm and 15 cm
Area of triangle by Hero's Formula,
S=a+b+c/2
S=17+8+15/2
S=40/2
S=20
A=![\sqrt{s(s-a)(s-b)(s-c)}](https://tex.z-dn.net/?f=%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D)
A=![\sqrt{20(20-17)(20-8)(20-15)}](https://tex.z-dn.net/?f=%5Csqrt%7B20%2820-17%29%2820-8%29%2820-15%29%7D)
A=![\sqrt{(20)(3)(12)(5)}](https://tex.z-dn.net/?f=%5Csqrt%7B%2820%29%283%29%2812%29%285%29%7D)
A=![\sqrt{3600}](https://tex.z-dn.net/?f=%5Csqrt%7B3600%7D)
A=60 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Answer:
you saved $3.20
Step-by-step explanation:
16 x 20/100
16 x 0.2
= 3.20
so 16-3.20= 12.80
final price is 12.80
The answer is B) <span>Stacy’s employer is withholding too little for state income tax.
Stacy's state income tax withholding should be:
163.88 x 19% = $31.14, which is less than $24.58</span>
since we know those two triangles are similar then we can use proportions.
![\cfrac{AE}{AB}=\cfrac{AD}{AC}\implies \cfrac{14-8}{2x}=\cfrac{14}{2x+4}\implies \cfrac{6}{2x}=\cfrac{14}{2x+4}\implies \cfrac{3}{x}=\cfrac{14}{2x+4} \\\\\\ 6x+12=14x\implies 12=8x\implies \cfrac{12}{8}=x\implies \cfrac{3}{2}=x \\\\[-0.35em] ~\dotfill\\\\ AB=2x+4\implies AB=2\left( \frac{3}{2} \right)+4\implies AB=3+4\implies AB=7](https://tex.z-dn.net/?f=%5Ccfrac%7BAE%7D%7BAB%7D%3D%5Ccfrac%7BAD%7D%7BAC%7D%5Cimplies%20%5Ccfrac%7B14-8%7D%7B2x%7D%3D%5Ccfrac%7B14%7D%7B2x%2B4%7D%5Cimplies%20%5Ccfrac%7B6%7D%7B2x%7D%3D%5Ccfrac%7B14%7D%7B2x%2B4%7D%5Cimplies%20%5Ccfrac%7B3%7D%7Bx%7D%3D%5Ccfrac%7B14%7D%7B2x%2B4%7D%20%5C%5C%5C%5C%5C%5C%206x%2B12%3D14x%5Cimplies%2012%3D8x%5Cimplies%20%5Ccfrac%7B12%7D%7B8%7D%3Dx%5Cimplies%20%5Ccfrac%7B3%7D%7B2%7D%3Dx%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20AB%3D2x%2B4%5Cimplies%20AB%3D2%5Cleft%28%20%5Cfrac%7B3%7D%7B2%7D%20%5Cright%29%2B4%5Cimplies%20AB%3D3%2B4%5Cimplies%20AB%3D7)