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Mariana [72]
3 years ago
10

Is the simplified form of 2 13 -2 13 rational? Yes or no

Mathematics
1 answer:
OverLord2011 [107]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

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write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)
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\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x

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3 years ago
Ricardo lost 6 golf balls while playing yesterday he bought a box of twelve golf balls and lost 4 on the course today he now has
umka2103 [35]
16 balls. 

Let's call x the total number of golf balls that Ricardo had before he lost the first 6 balls. (x - 6).
Then he bought 12 more and lost 4 so basically 12 - 4 = 8
Add that to the equation: (x-6) + 8
And now that he has 18 golf balls at end of the second day the total must add to 18.

Full equation: (x-6) + 8 = 18

(x-6) + 8 = 18
(x-6) = 18 - 8 <-- Transpose
(x-6) = 10
16 - 6 = 10 <-- What would x have to be inoder to make this equation true? 16!
So x = 16

16 is the number of golf balls the Ricardo began with.

8 0
3 years ago
If all squares are rectangles, and if all rectangles are parallelograms, then all squares are parallelograms. Which law of prope
xxMikexx [17]

Symmetric property, I remembered the answer for this for my summer school. This is one of the equivalence properties of equality.

7 0
3 years ago
How does the sum of the interior angles change as you move the vertices of ABC to create a triangle of your choice
lbvjy [14]

Answer:

Depending on the type of triangle you form, the interior angles will either decrease or increase.

Step-by-step explanation:

if you move the vertices to form an equilateral triangle then the interior angles will change to 60°, 60°, 60° because all interior angles of an equilateral triangle are the same and the sum of the interior angles of any triangle always add of to 180°

3 0
3 years ago
Zach keeps his pet chameleon Pinky in a terrarium with the dimensions 8 x 20. There are three inches of sand in the bottom of th
vodka [1.7K]
Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³

Volume of sand in the new terrarium=10*24*h
where
h------------> is the <span>deep in the new terrarium
</span>remember that
the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in

the answer is 2 in
5 0
3 years ago
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