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Gnoma [55]
3 years ago
9

Simplify (6+5x)+(7x+3)

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer: 12x + 9

Step-by-step explanation:

<u>Given </u>

(6 + 5x) + (7x + 3)

<u>Put like terms together</u>

=5x + 7x + 6 + 3

<u>Combine like terms </u>

=\boxed {12x+9}

Hope this helps!! :)

Please let me know if you have any questions

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DC because DC and FG are on the same plane.

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Answer:

=452.16 ft^3

Step-by-step explanation:

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Note: Diamater/2=radius

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Which transformation of Figure A results in Figure A' ?
MariettaO [177]

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

<u>Option B: a counterclockwise rotation of 90° about the origin </u>

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin  is given by

(x,y)\implies (-y,x)

Let us substitute the coordinates of the figure A

Thus, we have,

(0,2)\implies(-2,0)

(-1,6)\implies (-6,-1)

(-4,4)\implies(-4,-4)

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

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Kara and Sonny went to see a movie at the local theater.
CaHeK987 [17]

Answer:

popcorn=4$

soft drink=4.5$

Step-by-step explanation:

  • if we used omitting method:

1-we multiply (p+s=8.5) by (-2) so we could get rid of (s) and be leftover with (p)

so: (-2p-2s= -17)

2- we subtract this equation from (p+2s=13) and the result will be (-p= -4)

3- divide them by (-1) and the result is (p=4)

4-(p+s=8.5) ,substitute (p) with (4) and make it go to the other side with negative sign and the result of (s) is (8.5-4=4.5)

  • if we used substituting method:

1-(p+s=8.50), we will make (s) go to the other side with negative sign so the result is (p=8.50-s)

2-(p+2s=13.00), substitute (p) with (8.50-s):

(8.50-s+2s=13)

3- make (8.50) go to the other side with negative sign:

(s=13-8.50=4.5) and then you could get (p)

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3 years ago
Which point slope form equations could be produced with the points (3,2) and (4,6)
Anika [276]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of a line given two points first find the slope of the line and use the formula

y - y1 = m( x - x1) to find the Equation of the line using any of the points given

Slope of the line using points

(3,2) and (4,6) is

m =  \frac{6 - 2}{4 - 3}   =  \frac{4}{1}  = 4

So the equation of the line using point

( 3 , 2 ) and slope 4 is

<h3>y - 2 = 4( x - 3)</h3>

Hope this helps you

7 0
3 years ago
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