Answer:
x = 2 x = -6
Step-by-step explanation:
2 (x+2) ^2-4=28
Add 4 to each side
2 (x+2) ^2-4+4=28+4
2 (x+2) ^2= 32
Divide by 2
2/2 (x+2) ^2=32/2
(x+2)^2 = 16
Take the square root of each side
sqrt((x+2)^2) =±sqrt( 16)
x+2 = ±4
Subtract 2 from each side
x+2-2 = -2±4
x = -2±4
x = -2+4 and x = -2-4
x = 2 x = -6
Answer:
ax+b
Step-by-step explanation:
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Define x:
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Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x
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Construct equation:
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x +6x =35
7x = 35
x =5
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Find the length:
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Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet
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Answer: The shorter piece is 5 feet.
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Answer: 
Step-by-step explanation:
We have several properties of exponents in use here. The two that are used are:
<em>(Exponents with the same base that are being multiplied together can have the exponents added)</em>
<em>(A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)</em>
<em />
Let's apply it!
First, let's simplify what's inside the parenthesis.
<em>(Remember, they have the same base of "x", so we can add the exponents)</em>
= 
= 
Now we have 
. Let's use the second rule.
=
Hope this helps! :^)
Answer:
i) k = 36.8
ii)y = 36.8/square root of x
iii)y = 1.4
Step-by-step explanation:
If y is inversely proportional to square root of x;
then the two variables are related by,
y = k/ square root of x
i)Value of k when...x = 8 and y = 13,
substitute into the equation above..so as to find the value of k
13 = k/square root of 8
;k = 13 × square root of 8
;k = 36.8
ii)Then substitute the value of k with...36.8
y = 36.8/square root of x
iii)If x = 27...then y =;
y = 36.8/27
y = 1.4
