Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
<em>Expand:</em>
45= W² +4W
<em>-45 on both sides:</em>
W² +4W -45= 0
<em>Factorise:</em>
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
Answer:
152 gallons
Step-by-step explanation:
76÷4=19
19x8=152
The answer would be a hexagon, because there are six sides where the plane intersects.
Answer:
The answer to this question would be 11 :)
keeping in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{\cfrac{6}{7}}[x-\stackrel{x_1}{(-3)}]\implies y+1=\cfrac{6}{7}(x+3) \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{7(y+1)=7\left( \cfrac{6}{7}(x+3) \right)}\implies 7y+7=6(x+3)\implies 7y+7=6x+18 \\\\\\ 7y=6x+11\implies -6x+7y=11\implies 6x-7y=-11](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B%28-1%29%7D%3D%5Cstackrel%7Bm%7D%7B%5Ccfrac%7B6%7D%7B7%7D%7D%5Bx-%5Cstackrel%7Bx_1%7D%7B%28-3%29%7D%5D%5Cimplies%20y%2B1%3D%5Ccfrac%7B6%7D%7B7%7D%28x%2B3%29%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B7%7D%7D%7B7%28y%2B1%29%3D7%5Cleft%28%20%5Ccfrac%7B6%7D%7B7%7D%28x%2B3%29%20%5Cright%29%7D%5Cimplies%207y%2B7%3D6%28x%2B3%29%5Cimplies%207y%2B7%3D6x%2B18%20%5C%5C%5C%5C%5C%5C%207y%3D6x%2B11%5Cimplies%20-6x%2B7y%3D11%5Cimplies%206x-7y%3D-11)
