After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.
<h3>What is Equation Modelling?</h3>
Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.
Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.
Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-
2(x - 9) = 3(x + 6)
2x - 18 = 3x + 18
x = - 36
Therefore, the number is -36.
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Answer:
x = 11.85
Step-by-step explanation:
x^2+(x-4)^2=202
x^2+(x-4)(x-4)=202
x^2 + x^2 - 4x - 4x + 16 = 202
2x^2 - 8x + 16 = 202
2x^2 - 8x - 186 = 0
Apply the quadratic equation and you'll get x as:
x=11.85 or x=-7.85
x cannot be negative
therefore x = 11.85
Answer:
The side closest to P is the side that is on the same side of the angle bisector as P.
Step-by-step explanation:
The angle bisector is the line containing all the points equidistant from the sides of the angle. Points on one side of the angle bisector are closer to the angle side that is on that side of the angle bisector.
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The attached diagram shows the angle bisector as a dashed line. A couple of different locations for P are shown (P1 and P2). Apparently, we're concerned here with the distance from P along the perpendicular to each side of the angle. For P2 (on the left side of the angle bisector), it may be clear that the left perpendicular is shorter than the right one. Likewise, for P1, the right perpendicular will be shorter.
Answer:
x = 7
Step-by-step explanation:
all we know is that she had 1 brownie at the end, in the end she gave half her brownie to tyler, so add one who will get 1 1/2, before that she split her brownies between her friends, so multiply 1 1/2 by 2 and you will get 3, before that she gave 1/2 a brownie to Kiran, so we would add 1/2 to 3 and get 3 1/2, before that she first split it in half for a her friends, so at last, multiply 3 1/2 by 2 and you will geet 7 as your final answer.
I believe that it is “Sakura walks 6 miles every day”