Finding Midpoints on Geographical Maps

In standard math class we have startted a new Unit. We started with finding midpoints on geographical maps. First we had to chose two places from anywhere from the World. I selected the city Osijek, which is located in northern Croatia under the points 45.550 as latitude and 18.697 which        is the longitdude. We learned that the longitude lines represent the X axis, while the latitude lines represent the Y axis. My second place was Crna Bara, a small village in Vojvodina, in the Banat region, which is northern Serbia. Its coordinates were latitude as 45.966, and longitude 20.281

Test Review
Last week have a test in Standaed Mathamatics. The tast was 3 pages long with questions that were from the area of Geomatry. The first page had questions that had to involve the Pythagoras Theorem, including the visual triangles with the hypotenuse. For me these Pythagoras Theorem problems were not difficult.  For me this was the easiest part of the test.  You have to be carefull with these when writing down the units, you have to write correct units, when writing the answers. Further more, you have to show all of your work when solvin the problem 

Pythagorean Theorem

Homework: Due Friday 25. Use the Pythagorean Theorem to find the A, B, or C of a room, book, television or anything else you can think of in your home. Measure to confirm in the same we did in class. Remember that if you're expecting something to be "square" (being 90 degrees opposite the hypotenuse) and it is not, check your calculations before telling your parents :) Describe the process and your findings in your blog. In class we have started to learn the Pythagorean Theorem. Pythagoras was one of the most known Greek mathematician,scientist, and philosopher in ancient Greece. The Pythagorean Theorem's formula goes like this: а² + b²= c² For homework we had to find a right angled object in our house, and to measure it by using the Pythagorean Theorem. I chose the hall way in my house, since its is in a perfect square shape. I measured the hallway it was 6 meters with 6 meters (as I have said its a perfect square). When having the measurements i had to draw a model of the hallway on a piece of paper and divide the hallway into two parts. At first the model was in a shape of a square, after segregating the model and turning it into two parts it had a shape of a right angled triangle. When having the triangle I had 3 sides, two equal sides, which represent the variables a and b which again had 6 meters. The third side is the longest, its special name is the Hypotenuse, which has an unknown length, and which through this problem I have to find. Now when I have all the sides I start calculating. 1. а² + b²= c² 2. 6²+ 6²= c² 3. 36+36= 72 4. c= 72

During the last past weeks we have started to investigate radical expressions with it exponents, and square roots. IO have learned that when solving a expression that includes an exponent to the second power, it is called squaring, On the other hand when operating with a square root in a expression or equation, basically you are undoing the squaring, which is called square rooting. Here are two examples of expressions with square roots that we were given to solve. √45= 6.70 √12= 3.46 √5= 2.23 since this is a fraction you can simplify it even more by dividing the two decimals and getting a less number which would be 1.55

Solving Slope intercept Form

There are two planets of the same size. On both planets there are space donkeys that produce oxygen. On planet A there is less donkeys than planet B. Planet A has at the beginning 10 megatons of oxygen, while planet B has 5 megatons. From this problem my class and I had to determine where do we put the why intercept the x intercept and to determine what is the slope. We used the slope-intercept formula, which is the most practical for this type of problem. the slope intercept formula goes (y-y1)=m(x-x1). Thus into this formula we had to plug in the information that is being given to us into the equation and solve it. Since in class we changed the numbers in the scenario the equation will look different. Planet A m=3mt/wk Planet B m (25,30) So resulting from this we can see what information we are given in this scenario. Planet A has a slope or constant rate of increasing oxygen which is in this case 3 megatons per week. On the other hand, for planet B we have only the coordinates which show a certain point. Sloving the problem using Slope Intercept form (y-15)=1(X-10) +15 +15 Y=1(X+5) Y= x+5 This was the first trial of solving slope intercept form equations, the second trial uses the same formula just slightly different numbers in them. (y-20)=1(x-25) +20 +20 we are adding twenty to both sides in order to cancel out the twenty in the equation. afterwards... Y=1(x-5) Y=x-5 And the third trial uses again the same formula just know the number values are different. (Y- -10)=1(x- -25) -10 -10 We are subtracting 10 because in the equation y and the number in the parentheses are both negative, thus they will turn into a positive. Y=1(x+35) Y=x+35

Solving an Slope Intercept Equation

Solving an Slope Intercept equation Homework: Due Friday, Nov. 23. On you blog solve the point-slope equation above (slope = -2 & the X1,Y1 point is 8,4) (y-4)=-2(x-8) +4 +4 Y=-2 (x-4) Y= x-2

Slope Intercept Form

During the last week in Standard Math class, we have started learning a new formula in the system of equations. The formula is Point Slope form. This Formula is very practical for using when you just know the slope of the graph and its y and x intercept. Other than Point form and standard form, the slope intercept form may look difficult on the first look but when solving it becomes very easy. The definition of point slope form is. Point-Slope Equation of a Line y – y1 = m(x – x1), where m is the slope and (x1, y1) is a point on the line. Point-slope is the form used most often when finding the equation of a line. After finding the solution you would put it in a graph and trying to find what is a slope and both y and x intercept.