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3 years ago

(2/5) + ( -1/4). Show your work by using the “butterfly” method.

Mathematics

1 answer:

pashok25 [27]3 years ago

3 0

Answer:

0.15

Step-by-step explanation:

Step 1: Make sure the bottom numbers (the denominators) are the same

Step 2: Add the top numbers (the numerators), put that answer over the denominator

Step 3: Simplify the fraction (if needed)

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Please help me answer the question in the picture!

Natasha2012 [34]

Answer:

x=75

Step-by-step explanation:

A( I mean angle)+B+C+D=360°

A=C

B=D

2A+2D=360°

A+D=180°

30°+x+x=180°

2x=150°

x=75

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4 years ago

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3 years ago

8+[13-(2+1)] ????????

IgorLugansk [536]

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4 years ago

Which ballon was father from the town at the beginning, and which traveled more quickly.

Len [333]

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3 years ago

Solve the polynomial equation

ExtremeBDS [4]

Hey there!

You can solve this by squaring both sides to first cancel out the square root on the left. Then, you can eliminate each term as your normally would.

$2 \sqrt{x} =x-3$

$(2 \sqrt{x})^{2} = (x-3)^{2}$

$(4x) = (x-3)(x-3)$

$4x = x^{2} -6x+9$

$x^{2} -10x+9$

Now, you're given the opportunity to find your solution using the quadratic formula. That formula is:

$\frac{-b_-^+ \sqrt{b^2-4ac} }{2a}$

You can find out a, b, and c by comparing your new equation to the standard form. Luckily, we just put our equation into standard form:

$ax^{2} + bx + c$

$x^{2} -10x+9$

$a = 1 \\ b = -10 \\ c = 9$

To find your solution, plug these numbers into the quadratic formula and solve.

$\frac{-b_-^+ \sqrt{b^2-4ac} }{2a}$

$\frac{10_-^+ \sqrt{-10^2-4(9)}}{2}$

Remember to use PEMDAS when solving these problems.

$\frac{10_-^+ \sqrt{100-36}}{2}$

$\frac{10_-^+ \sqrt{64}}{2}$

$\frac{10_-^+ 8}{2}$

Now, solve this final bit by adding the top terms then subtracting them for two different answers.

$\frac{10 + 8}{2} = 9$

$\frac{10- 8}{2} = 1$

Don't assume that both of these are correct. The very last step is to plug both of these into the original problem you were given and see if they make the equation true.

$2 \sqrt{9} =9-3$
$2*3=6$
$6=6$

$2 \sqrt{1} =1-3$
$2*1=-2$
$2 \neq -2$

So (finally), your answer will be x = 9.

Hope this helped you out! :-)

7 0

4 years ago