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3 years ago

Add and Simplify 9/12+1/2

2 answers:

8 0

Step One: Since when you add and subtract fractions they need to have the same denominator. So you find the least common denominator. Which is 6.

Step Two:So, now you have your least common denominator. Now you multiply 1/2 * 6. Remember whatever you do to the bottom you do to the top. So you multiply 2 and 6, then multiply 1 and 6. Which will leave you with 6/12.

Step Three:Now you add the numerator. Remember you the denominator ALWAYS STAYS THE SAME. The Denominator always stays the same when you add and subtract fractions. So, 9/12 + 6/12 = 15/12.

Step Four:Now you simplify. So you divide 15 / 12= 1 with the remainder of 3. Like I said before the denominator ALWAYS STAYS THE SAME. So you now have 1 3/12. We can still simplify that number. So we divide by the least common denominator which is 3. Remember whatever you do to the bottom you have to do to the top. The whole number stays the same as well. So divide 1 3/12 / 3 = 1 1/4. So, the answer is 1 1/4

lesya [120]3 years ago

4 0

1 and 1/4..................................

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Step-by-step explanation:

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2 years ago

Find x, y and ab and how to check if the answer is right

iris [78.8K]

Answer:

x = 2, y = -2, AB = 142

Step-by-step explanation:

The fact that X is the midpoint gives you two relations:

AX = XB

AX + XB = AB

Since you have two unknowns, this number of equations is sufficient to find their values. Substituting the given expressions in the above equations, you have ...

8(3x+5) -3(y-7) -22x = 5x +y +23 -4(x-12)
8(3x+5) -3(y-7) -22x + 5x +y +23 -4(x-12) = 2x -5y +128

Simplifying the first of these can make simplifying the second one easier.

24x +40 -3y +21 -22x = 5x +y +23 -4x +48

2x -3y +61 = x +y +71 . . . . . . we can use this simplification

x -4y = 10 . . . . . . . . . . . . . . . . subtract x+y+61

Now, we can simplify the second equation to ...

2x -3y +61 +x +y +71 = 2x -5y +128

3x -2y +132 = 2x -5y +128 . . . . . simplify the left side

x +3y = -4 . . . . . . . . . . . . . . . add -2x+5y-132

Then the two equations we need to solve are ...

x -4y = 10
x +3y = -4

Subtracting the second from the first, we get

-7y = 14

y = -2

Substituting into the first of these simplified equations, we get

x -4(-2) = 10 . . . . substitute for y

x +8 = 10 . . . . . . .evaluate

x = 2 . . . . . . . . . .subtract 8

So, the solution is (x, y) = (2, -2).

Now, the values of AX and XB are ...

AX = 2x -3y +61 = 2·2 -3(-2) +61 = 71

XB = x+y+71 = 2 +(-2) +71 = 71 . . . . . . . . matches AX, a good sign

AB = 2x -5y +128 = 2·2 -5(-2) +128 = 142 . . . . = AX+XB, another good sign

The desired values are x = 2, y = -2, AB = 142.

_____

You check the answer by filling the values into the expressions given in the problem statement and seeing if you get consistent results. Here, we used the simplified expressions, rather than the original expressions, so if we did the simplification wrong, we may have the wrong answer. It is always best to use the original equations. (A machine solver working with the original equations confirms our result, so "confidence is high.")

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3 years ago

Make a table of values for the function rule. then graph the function. y=-x²+4

lakkis [162]

Answer:

check the attached picture

Step-by-step explanation:

Given function is $y=-x^2+4$ .