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Fudgin [204]
3 years ago
15

How do I factor -2y+2y^2-24

Mathematics
2 answers:
Monica [59]3 years ago
5 0
Well this is a quadratic equation so.
First we rearrange it
2y^2-2y-24
2y^2-2y-48
2y^2-8y+6y-24
2y(y-4)+6(y-4)
(2y+6)(y-4)
babunello [35]3 years ago
3 0
2(y ^2-13) is it factored
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Point P'(-3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, -6) under the
Goshia [24]

Answer:

The image of the point (0, -6) under the same translation is (-6, -12)

Step-by-step explanation:

Let us revise the rules of translation

  • If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)
  • If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)
  • If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)
  • If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)

∵ The coordinate of point P are (3, 8)

∵ The coordinates of its image P' are (-3, 2)

→ The x-coordinate is changed from 3 to -3, that means the point

   translated to the left by h units

∵ h = -3 - 3

∴ h = -6

→ The y-coordinate is changed from 8 to 2, that means the point

   translated down by k units

∵ k = 2 - 8

∴ k = -6

→ By using the rule above

∴ The rule of translation is (x, y) → (x - 6, y - 6)

∵ The coordinates of the point are (0, -6)

∴ The coordinates of its image are (0 - 6, -6 - 6)

∴ The coordinates of its image are (-6, -12)

5 0
3 years ago
The total length of 5 belts and 3 shoe laces is 4.2 m. The total length of 3 shoe laces is equal to the length of 2 belts
Yuliya22 [10]

Answer:

a= 0.84m

b= 7m

i tried my best but im not sure of the answer

Step-by-step explanation:

5x+3y=4.2

2x=3y

x = 4.2-3y/5

2*(4.2-3y/5) = 3y

=1.68/3 = 0.56

y=0.56

2x = 3*0.56

x = 0.84

4 0
2 years ago
The line that is perpendicular to y=-x and passes through the point (2,4) is y=x+ ___?
iris [78.8K]

Answer:

B. 2

Step-by-step explanation:

1) all the perpendicular lines are: y=x+C, where C - number;

2) in order to calculate C: to substitute (2;4) into the equation y=x+C:

4=2+C; ⇒ C=2;

3) finally, the required equation is: y=x+2.

The answer is B. 2.

3 0
2 years ago
Valley video charges a 15$ annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the store. How many movies
SCORPION-xisa [38]
3x+15= 99
99 - 15= 84

3x=84
84÷3=28
x=28
5 0
3 years ago
Please help i need this asap
STALIN [3.7K]

Answer:

x=68°

Step-by-step explanation:

In quadrant 3 the FULL  value is 90°

90°-22°

=68°

-------------------------------------------------------

<u><em>Hope this helped!!</em></u>

5 0
3 years ago
Read 2 more answers
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