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timama [110]
3 years ago
11

Please can someone help me solve the question in the picture 10 points plus brainliest!!!​

Mathematics
1 answer:
Effectus [21]3 years ago
8 0

Answer:

E. 2 1/2

E. 8.5 cm

C. 6 cm

Step-by-step explanation:

4............................

Scale factor = AE/AC = (4+6)/4 = 10/4 = 2.5

<u>Correct option is</u> E. 2 1/2

5............................

DE = ?

  • DE = √AD² - AE² = √15² - 10² = √125 = 5√3 ≈ 8.66
  • <em>For measure of AD see next question (6)</em>

<u>Close option is</u> E. 8.5 cm

6............................

AB = ?

  • AD/AB = 2.5 <em>the scale factor as per question 4</em>
  • (AB + 9)/AB = 2.5
  • 2.5*AB = AB + 9
  • 1.5*AB = 9
  • AB = 9/1.5
  • AB = 6 cm

<u>Correct option</u> C. 6 cm

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IceJOKER [234]
There are several approaches.

(5/3)x^2 - 5 = 0 has the coefficients a=5/3, b=0 and c = -5.

Thus, the quadratic formula would be appropriate here:

         -0 plus or minus sqrt(0^2 - 4(5/3)(-5) )
x  = -------------------------------------------------------
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         plus or minus sqrt(100/3)
    = ------------------------------------
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8 0
3 years ago
acme lumber purchased 13.145 pine wood and 16.903 cedar wood to sell in the store. after 6 months they had sold7.589 pounds of l
11111nata11111 [884]

Answer:

22.459 pounds of wood

Step-by-step explanation:

Total amount of wood in store = amount of pine wood purchased + amount of cedar in the store

Total amount of wood in store = 13.145 pine wood + 16.903 cedar wood

Total amount of wood in store = 30.048 pounds of wood

If acme lumber had sold 7.589 pounds of lumber after 6 months, the amount of pounds of woods that the company have left to sell = Total amount in store initially - amount sold after 6 months

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The amount of pounds of woods that the company have left to sell  = 22.459 pounds of wood

4 0
3 years ago
The polynomial equation x5-16x2=4x4-64 has complex roots + or - 2i what are the other roots? use a graphing calculator and a sys
hichkok12 [17]

Kindly proofread the question!!!

The leading term is x^6, not x5.


Answer: The additional roots are -2, +2, each with multiplicity 2.


Step-by-step explanation:

x^6 - 16x^2 = 4x^4 - 64


x^6 - 4x^4 - 16x^2 + 64 = 0

(x+2i)(x-2i) = (x^2+4) is a factor.

(x-2)(x+2)(x-2)(x+2)(x^2+4) = 0

Polynomial long division by x^2+4

x^6 - 4x^4 - 16x^2 + 64 = 0

First term of quotient is x^4

Subtract x^6+4x^4

Remainder is -8x^4 -16x^2+64

Second quotient term is -8x^2

Subtract -8x^4-32x^2

Remainder is 16x^2+64

Third quotient term is 16

Subtract 16x^2+64

Remainder is zero

Quotient is x^4 - 8x^2 + 16

(x^2-4)^2 = x^4 + 2(1)(-4)x^2 + 16

(x-2)(x+2)(x-2)(x+2)(x^2+4) = 0


4 0
3 years ago
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