X + y = 85
2x + 4y = 218
x = 85 - y
<span>2(85 - y) + 4y = 218 </span>
<span>170 - 2y + 4y = 218 </span>
<span>170 + 2y = 218 </span>
<span>2y = 48 </span>
<span>y = 24 </span>
<span>x = 61</span>
The triangles are similar, they aren't congruent (identical) though as we don't know if they share a common side
In completing the square method, considering the equation X^2 - 2x + the number to be added should be<u> 1 </u>to make it a perfect square
<h3>How to know term that should added</h3>
The standard quadratic equation is of the form
ax^2 + bx + c
The completing the square method is one of the methods of solving quadratic equations
The factor to be added to the equation while using the completing the square method is of the formula
(b / 2a)^2
compared to the equation in the problem X^2 - 2x +
= (b / 2a)^2
= (2 / 2)^2
= (1)^2
= 1
Learn more on quadratic equations here:
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Answer:
(a) f(x) = √x -2
Step-by-step explanation:
The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.
The formula for speed is the total distance traveled over time. We shall calculate the 2 speeds individually- before and after lunch. Afterwhich, we shall add them together and divide by 2 to get the average.
Before lunch s = 132 mi / 3 hr = 44 mi/hr
After lunch s = 240 mi / 5 hr = 48 mi/hr
Ave s= 48 + 44 / 2
Ave s= 46 mi/hr
Therefore the correct answer is A.
