Answer:
length = 23 inches ; width = 18 inches.
Step-by-step explanation:
Length and width can be found from the following expression after solving for x. The expression is given by :
outside area - inside area = 148 square inches
(2·x - 1)·(x + 6) - (2·x - 5)·(x + 2) = 148 (On substitute length and width expressions. Each area is the product of length and width.)
⇒ 2·x² + 11·x - 6 - (2·x² - x - 10) = 148
⇒ 12·x + 4 = 148 .................(On simplifying the expression)
⇒ 12·x = 144
⇒ x = 12
Then the original length of the mat is given by substituting value of x in outside length expression :
2·x - 1 = 2·12 - 1 = 23 inches
and the original width of the mat is given by :
x + 6 = 12 + 6 = 18 inches
Hence, the overall dimensions of the original mat are 23 inches by 18 inches.
Answer:
to find the Area of a Triangle, you have to multiply the base times the height of the triangle to find the Area.
Step-by-step explanation:
For example..
If the Base ( bottom part of the triangle) was 10 and the height ( the vertical line of the triangle) was 5, you would multiply them together to get 50. So 5o would be the area of the Triangle.
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Answer:
Usually it's in standard form: ax²+bx+c
or vertex form: y=a(x-h)²+k
If you put the graph into a graphing calculator it's going to look like a hill/depression.
Step-by-step explanation:
Standard form ex: 3x²+2x+1
Vertex form ex: y=4(x-1)²-2
Answer:
6
Step-by-step explanation:
