Answer:
2 ( m + 2 m) = 36 is the required linear equation
Length of the rectangle is 12 ft and width = 6 ft
Step-by-step explanation:
Let the width of the rectangle = m ft.
So, the length of the rectangle = 2m ft.
Perimeter of rectangle = 36 ft
Now, PERIMETER OF THE RECTANGLE = 2(LENGTH + WIDTH)
⇒2 ( m + 2m) = 36
or, 2 x 3m = 36
⇒ 6m = 36 , or m = 36/6
⇒ m =6 ft
So, the Width of the rectangle; = m = 6 ft
and the Length of the rectangle = 2 m = 2 x 6 = 12 ft.
Answer:
There were 39 children at the party
Step-by-step explanation:
Here, we want to know the number of children at the party
To do this, we have to add the y-values ( frequencies of the age grades)
We have this as;
8 + 8 + 7 +10 + 6 = 39
The expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
<h3>How to express in standard form?</h3>
The expression is given as:
8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
Collect the like terms
8mn⁵ -mn⁵ - 2m⁶ -4m⁶ + 5m²n⁴ +9m²n⁴+n⁶ - 4m³n³ - m³n³
Evaluate the like terms
7mn⁵ - 6m⁶ + 14m²n⁴+n⁶ - 5m³n³
Rewrite in standard form
n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Hence, the expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Read more about expressions at:
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The area of triangle ABC with the given parts is c- 7.3in
