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lisabon 2012 [21]
3 years ago
10

5. & 7. simplify 9. & 11. factor completely

Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0
5)

= - i - 2 - 3i
= - 4i - 2
= - 2 (2i + 1)

7)

= - 4 [(2 -2i - i (8 - 4i)]
= - 4 (2 - 2i - 8i + 4i^2)
= - 4 (4i^2 - 10i + 2)
= (- 4) (2) (2i^2 - 5i + 1)
= - 8 (2i^2 - 5i + 1)

9)

= p^2 - 4p - 4p + 16
= p (p - 4) - 4 (p - 4)
= (p - 4) (p - 4)
= (p - 4) ^2

11)

= p^2 - 8p - 8p + 64
= b (b - 8) - 8 (b - 8)
= (b - 8) (b - 8)
= (b - 8)^2
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7w-(2+w)=2(3w-1) solve for w
Dafna1 [17]

Steps:

7w - 2 + w = 2(3w - 1)

6w - 2 = 6w - 2

Because both sides of the equation are equal, w = an infinite amount of solutions.

Have a great day!

4 0
3 years ago
Which equation represents a linear function?
Mila [183]

The equation y - 2 = -5(x - 2) represents a linear function ⇒ 1st answer

Step-by-step explanation:

A linear function is any function that graphs to a straight line

(not a vertical line)

The forms of the linear equation are

  • y = m x + b, where m is the slope of the line which represents the function and b is the y-intercept ⇒ slope-intercept form
  • y-y_{1}=m(x-x_{1}), where m is the slope and (x_{1},y_{1}) is a point lies on the line which represent the function ⇒ slope-point form
  • Ax + By = C, where A, B, and C are constant ⇒ standard form

Linear function means the greatest power x and y in the equation of the function is 1

∵ The equation is y - 2 = -5(x - 2)

∵ The greatest power of x and y is 1

∵ The equation is in the form of y-y_{1}=m(x-x_{1}), where

   m = -5 and the coordinates of the point are (2 , 2)

∴ The equation represents a linear function

The equation y - 2 = -5(x - 2) represents a linear function

Learn more:

You can learn more about the linear function in brainly.com/question/4326955

#LearnwithBrainly

6 0
3 years ago
2 po
Lyrx [107]

Answer:

Step-by-step explanation:

Girls:Total number of people

89:235

89:47

8 0
3 years ago
Write the following in ascending order a)4/10,49/100,357/10,1/1001 plz fast ,correct and plzz with explanation
suter [353]

Answer:

1/1001 < 4/10 < 49/100 < 357/10

Step-by-step explanation:

4/10 => 0.4

49/100 => 0.49

357/10 => 35.7

1/1001 => 0.0009

Ascending order is from smallest to the greatest.

5 0
3 years ago
Read 2 more answers
In the figure,ABC is a right-angled triangle.PQ=24cm,PR=45cm and T is a point on QR such that PT丄QR.Find PT.
snow_tiger [21]

RQ² = RP² + PQ²

RQ² = 45² + 24²

RQ² = 2025 + 576

RQ² = 2601

RQ = 51

PT/PR = PQ/RQ

PT/45 = 24/51

PT = (24/51) × 45

PT = (8/17) × 45

PT = 360/17

8 0
3 years ago
Read 2 more answers
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