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astraxan [27]
3 years ago
10

Solve -2(x-5) + 3x = 2(x+3) + 17 *

Mathematics
2 answers:
babymother [125]3 years ago
8 0

Answer:

x=-13

Step-by-step explanation:

Hope this helped :)

Anna [14]3 years ago
5 0

Answer:

x = -13

Step-by-step explanation:

-2x + 10 + 3x = 2x + 6 + 17

x + 10 = 2x + 6 + 17

x + 10 = 2x + 23

10 = 2x + 23 - x

10 = x + 23

10 - 23 = x

-13 = x

x = -13

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I need help with numbers 17 and 18.
eduard

Answer:

  17.  D

  18.  C

Step-by-step explanation:

For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.

<h3>17.</h3>

The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.

As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:

  D.  Y'(11, -8)

__

<h3>18.</h3>

Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.

  R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)

  R' = (-2/3, 1) . . . . . matches choice C

7 0
2 years ago
(5,-9);slope= -4/3<br> Write in slope intercept form
Fantom [35]

Answer:

y = 4/3x-7/3

Step-by-step explanation:

Slope intercept form is y=Mx+b; m=slope & b= y intercept

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Now substitute x & y with the point given

(-9)=-4/3(5)+b

-9= -20/3+b

+20/3 +20/3

-7/3=b

Now substitute this into the original equation

y = 4/3x-7/3

6 0
3 years ago
How many solutions does the equation -3a + 3a + 6 = 7
STALIN [3.7K]
No solution because -3a +3a is cancelled out and 6 does not equal 7

3 0
3 years ago
Read 2 more answers
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shtirl [24]
Basing on the question the volume of metal should be equal to the volume of the wire.
We already have the volume of the metal which is 1cm cube.
To get the volume of the wire, the equation is V=3.14 x r^2 x h
since the volume of the wire is same as the volume of the metal, we simply substitute.

1 cm^3 = 3.14 x r^2 x h

h is the length of the wire.
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1 cm^3= 3.14 x (0.05 cm)^2 x h
1 cm^3= 3.14 x 0.0025 cm^2 x h
h = 0.00785 cm^2 / 1 cm^3
h=0.00785 cm or 0.0785 mm.
7 0
3 years ago
If p(a) = 0.25 and p(b) = 0.65, assuming independence of events, then p(a and<br> b.is:
Art [367]
0.25x0.65=0.1625
full answer
8 0
3 years ago
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