Answer:
They multiplied the exponents instead of adding.
Step-by-step explanation:
Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6
Answer:
yes
Step-by-step explanation:
Answer:
6√3
Step-by-step explanation:
6^2+x^2=12^2
36+x^2=144
-36 -36
x^2=108
x=6√3
<span>x^2 + 15x + 56.25 = 105.25
"Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
x^2 + 15x + 56.25 = 49 + 56.25
Which is
x^2 + 15x + 56.25 = 105.25
Which is the answer desired.
Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?"
Well, we know that the left hand side of the equation can now be written as
(x+7.5)^2 = 105.25
Now take the square root of each side
(x+7.5) = sqrt(105.25)
And let's use both the positive and negative square roots.
So
x+7.5 = 10.25914226
and
x+7.5 = -10.25914226
And let's find X.
x+7.5 = 10.25914226
x = 2.759142264
x+7.5 = -10.25914226
x = -17.75914226
So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
To make 8 inch tall column approximately 61 coins required.
Given,
Total one cent coins stacked on top of each other in a column = 50
Height of column = 378 inches
Approximate height of one coin = ( 50 / 378)
= 0.132 inches
To make an 8 inches tall stack No of coins required will be:
Number of coins required = ( total height / height of one coin )
= ( 8 / 0.132 )
= 60.60
≅ 61 coins
To make 8 inch tall column approximately 61 coins required.
Learn more about coins here: brainly.com/question/11677207
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