Answer:
length = 20 cm
width = 9 cm
Step-by-step explanation:
perimeter = 58 cm
58cm = 2*L+2*w equation 1
L = 3w -7 equation 2
where:
L= length
w=width
so we have:
58 = 2(3w -7) +2w
58 = 6w -14 +2w
58 +14 = 8w
72 = 8w
w = 72/8
w = 9 cm = width
we have:
L = 3(9) -7 = 20 cm = length
we know XYZ is an isosceles, thus XY = YZ, the perpendicular segment bisectors of QR and QS are also equal to each other in length, because they both are segment bisectors and thus YR=RX=YS=SZ, so any perpendicular line stemming from the same length on each side will meet its counterpart right on the middle of the triangle.
![\bf \stackrel{QR}{\cfrac{x}{2}+2}~~=~~\stackrel{QS}{x - 10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{x}{2}+2 \right)=2(x-10)}\implies x+4=2x-20 \\\\\\ 4=x-20\implies 24=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{QR}{\cfrac{24}{2}+2}\implies 12+2\implies 14](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7BQR%7D%7B%5Ccfrac%7Bx%7D%7B2%7D%2B2%7D~~%3D~~%5Cstackrel%7BQS%7D%7Bx%20-%2010%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B2%7D%7D%7B2%5Cleft%28%20%5Ccfrac%7Bx%7D%7B2%7D%2B2%20%5Cright%29%3D2%28x-10%29%7D%5Cimplies%20x%2B4%3D2x-20%20%5C%5C%5C%5C%5C%5C%204%3Dx-20%5Cimplies%2024%3Dx%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7BQR%7D%7B%5Ccfrac%7B24%7D%7B2%7D%2B2%7D%5Cimplies%2012%2B2%5Cimplies%2014)
Answer:
the equation of the least-squares line for the data is: 
Step-by-step explanation:
In a simple linear regression model, such as,
, the coefficients bo and b1 are estimated through the method of least squares by the use of the equations:

For the data provided you have to:
, thus:

the equation of the least-squares line for the data is:

Answer:
6
Step-by-step explanation:
If minus stands before parenthesis the sign in the parenthesis changes to the opposite