Sarah solved this system of equations. 4x + 2y = –14 –10x - 7y = –25 Step 1: 40x + 20y = –140 –40x - 28y = 100 Step 2: –8y =
–40 Step 3: y = 5 Step 4: 4x + 2(5) = –14 Step 5: x = –6 Step 6: Solution: (–6, 5) Did Sara find the correct solution to the system of equations? Explain. Yes, Sara found the correct solution. No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4. No, in step 4, she substituted the value of y back into the wrong equation to solve for x. No, in step 6, she switched the order of the solution. It should be (5, –6).
to find the mean, we must add al the numbers and divide it by n
that is,
164,175,178,166,167,145,176,150,174,162,180,156,173,158,182,184,160,172,186,168,195,169,171,187,170 we have to add al these numbers and divide it by 25
The park around which the jogger jogged is rectangular in shape. The Short cut that the jogger jogged through to her car is the diagonal of the rectangle. The diagonal becomes the hypotenuse of the rectangle. The sides of the field becomes the opposite side and adjacent side of the triangle. To determine the length of the diagonal, we would apply Pythagoras theorem. It is expressed as
