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Gala2k [10]
3 years ago
8

Mary ate one of the muffins she baked and had 12 left. Write an equation to find how many muffins Mary started with.

Mathematics
2 answers:
Wittaler [7]3 years ago
8 0
Well, do you know what 12+1 is? Because if she ended with 12 and ate 1 to begin with, you just add those numbers together, and that is your answer!
RSB [31]3 years ago
8 0

Answer:

x - 1 = 12

Step-by-step explanation:

Given: Mary ate one of the muffins she baked and had 12 left.

Let "x" be the number muffins she baked. She ate one and left with 12.

x - 1 = 12

So the required equation is x -1 = 12 to find the number muffins Mary started with.

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For the rhombus below, find the measure of angles 1,2,3 and 4.
Alexus [3.1K]

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

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3 years ago
Determine algebraically the zeros of f(x)=3x^3+21x^2+36x
Mashcka [7]

Answer:

The zeros of the given polynomial function f(x) are -3,0,-4

Step-by-step explanation:

Given polynomial is f(x)=3x^3+21x^2+36x

To find the zeros of the given polynomial:

First equate the polynomial function f(x) to zero

That is f(x)=3x^3+21x^2+36x=0

By synthetic division we can solve it

-3_| 3      21       36     0

      0       -9      -36    0

   _____________________

      3      12        0        0

      Therefore x+3 is a factor

    That is x=-3 is a zero

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    3x(x+4)=0

    3x=0 or x+4=0

    Therefore x=0 or x=-4

    Therefore the zeros are -3,0,-4

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