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Trinity H.
Been a math tutor for middle school students for 4 years
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Geometry
TutorMe
Question:

A triangle has a perimeter of 50. If 2 of its sides are equal and the third side is 5 more than the equal sides, what is the length of the third side?

Trinity H.

Step 1: Assign variables: Let x = length of the equal side Sketch the figure Step 2: Write out the formula for the perimeter of the triangle. Perimeter = sum of the three sides Step 3: Plug in the values from the question and from the sketch. 50 = x + x + x+ 5 Combine like terms 50 = 3x + 5 Isolate variable x 3x = 50 – 5 3x = 45 x =15 Be careful! The question requires the length of the third side. The length of third side = 15 + 5 =20 Final Answer: The length of third-side is 20

Pre-Algebra
TutorMe
Question:

Do the addition or subtraction. You can use the calculator, but be careful with the signs! -987- -654

Trinity H.

Remember that when you see two negatives next to each other, you can turn them into one big plus sign. This makes it easier to remember that subtracting a negative turns a negative to a positive. By doing this, your new equation is -987+654 which is -333. All you do is subtract 987 from 654 then add a negative sign since 987 is greater than 654.

Algebra
TutorMe
Question:

For what value of the constant K does the equation Kx2 + 2x = 1 have two real solutions?

Trinity H.

Rewrite the given quadratic equation in standard form: Kx 2 + 2x - 1 = 0 Discrimant = 4 - 4(K)(-1) = 4 + 4K For the equation to have two real solutions, the discriminant has to be positive. Hence we need to solve the inequality 4 + 4K > 0. The solution set to the above inequality is given by K > -1 for which the given equation has two real solutions.

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