Answer:32 m
Step-by-step explanation: Basically 8*8/2=32 so its just 32 if the sides are 8m
Answer:
the y intercept is -9/2 or -4 1/2
Answer:
The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find numbers
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the other number = x + 9
Let the number be x.
Sum of two numbers = 25
According to question, x + x + 9 = 25
⇒ 2x + 9 = 25
⇒ 2x = 25 - 9
⇒ 2x = 16
⇒ 2x/2 = 16/2
⇒ x = 8
Therefore, x + 9 = 8 + 9 = 17
Therefore, the two numbers are 8 and 17.
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Answer:
positive 11x+ positive 14 to the right is greater than negative 8 to the left
Step-by-step explanation:
hope I helped