Answer:
D
Step-by-step explanation:
The correct answer is: [C]: " x² = √32 " .
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Explanation:
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Note: Working backward, "(± 4√2)" , squared, equals what value(s)?
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Note: We are actually given 2 (TWO) solutions:
" +4√2" and "–4√2" ;
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√32 = √8 √4 = √4 √2 √4 = 4√2 ;
- √32 = -1 * √32 = - 4√2
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or:
√32 = √16 √2 = 4√2 ;
-1 * √32 = - 4√2
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However, BOTH these values, when "squared" (i.e. raised to the exponential power of "two"; will result in the same value— which is: "32" ;
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is equal to: "(4√2)² = (4)² *(√2)² = (4*4) (√2*√2) = 16*2 = " 32 " .
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√32 = √8 √4 = √4 √2 √4 = 4√2 ;
- √32 = -1 * √32 = - 4√2
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or:
√32 = √16 √2 = 4√2 ;
-1 * √32 = - 4√2
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" (4√2)² = (4)² * (√2)² = (4 * 4) (√2*√2) = 16 * 2 = " 32 " .
" (-4√2)² = (-4)² * (√2)² = (-4 *-4) (2) = 16 * 2 = " 32 " .
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The correct answer is: " 32 <span>" ; which is: Answer choice: [D]: " x</span>² = 32 " .<span>
We know that the answer is: " </span>" {" <span>± 8 "}; since we are dealing with equations that contain "x SQUARED"; that is, " x</span>²"; and when we solve for the 'square root of all values of a [variable raised to an even positive integer] ;
we take the "plus or minus" square root values ; since the value, "x" could be plus or minus; since a "negative value" multiplied by a "negative value" is a "positive value" ;
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So, the correct answer is: Answer choice: [B]: " x² = <span>± 8 " .
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Let us check our answer:
</span>√32 = √16*√2 = 4√2 ;
– √32 = – 4√2 ;
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Also, note:
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x² = 32 ; Solve for "x" ;
→ Take the square root of "each side" of the equation ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ √(x²) = √32 ;
→ | x | = √32 ;
→ x = ± √32 . Yes!
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1 gallon is 128 ounces, 5 gallons is 640 ounces. So 6*16=94 ounces Pitcher equals 64 ounces, so 640-158=452, there are 452 ounces of water left
Well, input and output are the functions so look up how to do functions with input and output and you will get the answer or look at this picture
Answer:
12^2 + 4x
Step-by-step explanation:
We need to solve the area of these two rectangles separately.
Equation: 4x(3x+1) --> 12x + 4
Area: 12x^2 + 4x
Hope this helps.
