The Evaluating expression √6 +√6+√27-√12 become √3(2√2+ 1) after simplification.
According to the statement
We have given that one evaluating expression which is √6 +√6+√27-√12
And we have to simplify this expression by evaluating it.
So, Given expression is:
√6 +√6+√27-√12
√6 +√6+√(9*3)-√(4*3)
√6 +√6+3√(3)-2√(3)
√6 +√6+√3( 3-2)
After evaluating the expression it become
√6 +√6+√3(1)
√(3*2) +√(3*2) +(1)√3
Take common from above expression then
√3(√2 +√2 ) +√3
√3(2√2) +√3
√3(2√2+ 1)
Now the expression √6 +√6+√27-√12 become √3(2√2+ 1) after simplification.
So, The Evaluating expression √6 +√6+√27-√12 become √3(2√2+ 1) after simplification.
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Question:
Which choice is equivalent to the expression below?
√6 +√6+√27-√12
A. √3(2√2+ 1)
B. 2√3-√21
C. 3√3+√6
D. 5√3
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Answer:
C
Step-by-step explanation:
Area is W×L. The area of the rectangle is 6x^(2) + 7x - 3.
So we write that as 6x^(2) + 7x - 3 = W×L
We can factor 6x^(2) + 7x - 3 to see the width and length.
Then, you get (2x + 3) (3x - 1) = W × L
Now you have to values for width and length
The formula for perimeter is 2W + 2L, you can choose which is width and which is length
Next, substitute the values in the formula: 2(2x + 3) + 2(3x - 1) and solve it. Done! :)
Well, we know that x=7
Plug that into the given equation, 14x-2
14(7) = 98
Then 98-2 = 96
96 is your final answer !!
So basically in the equation just replace ‘x’ with 7, because they are equal to each other!
Hope this helped
Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
It is A because it is explaining 3/6-0/6 split into three parts
3/6-0/6 is 3/6 and that can be simplified to 1/2.
Hope this helps :)