MATHEMATICS HIGH SCHOOL

How to solve 11x-13y=89 and -11x+13y=107 by substitution

Answers

Answer 1
Answer: \left\{\begin{array}{ccc}11x-13y=89&/+13y\n-11x+13y=107&/\cdot(-1)\end{array}\right\n\n\left\{\begin{array}{ccc}11x=13y+89\n11x-13y=-107\end{array}\right\n\nsubstitute:\n\n(13y+89)-13y=107\n13y-13y+89=107\n89=107-FLASE\n\nAnswer:No\ solution\ (x;\ y\in\O)

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What 30.000 divided by 500?

Answers

30.000 is just 30


30/500
=
0.06

Which size container of cold farm ice cream is the better deal for Sheldon?

Answers

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Find the distance between point P(2, -1) and Q(10,-7)

Answers

The distance between the two points is 10.

How do I write 4(3x+2)-9 in written form?

Answers

Step-by-step explanation:

4 times 3x+2 subtracted by9

hope it helps

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Answer:

12x-1

Step-by-step explanation:

First, you would have to distribute. Would mean to multiply the 4 with every number in the parenthesis.

4(3x+2)-9

12x+8-9

Now combine like terms

8-9 = -1

The answer is 12x-1

The temperature of a chemical reaction ranges between 30 degrees Celsius and 70 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 10-hour period. What is a cosine function that models this reaction?

Answers

Let us consider function as T= Acos(teta)+B, max and min values will occur when cos(teta) = +1 and -1;
so 30= -A+B; 
     70= A+B;
solving both B=50, A=20;
also at t=0 , cos(teta)= -1 and finishes one cycle after t=10hour;
so(teta) = pi+pi*t/10;
so, T= 20cos(pi+pi*t/10) + 50;

The diagram shows a semicircle divided into three arcs of equal length, where A is the midpoint of . What is mDEC?

Answers

mDEC will be equal to mECA. This is because AC and ED are parallel lines, cut through by a transversal line (EC). This makes mDEC and mECA interior angles, which are, by definition, equal to one another.
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