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evablogger [386]
3 years ago
5

What equation results from completing the square and then factoring?

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

\large\boxed{D.\ (x-4)^2=55}

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2\qquad(*)\\\\\\x^2-8x=39\\\\x^2-2(x)(4)=39\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\\underbrace{x^2-2(x)(4)+4^2}_{(*)}=39+16\\\\(x-4)^2=55

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Which function has a vertex at ( 2 , -5 )?
Mice21 [21]
The answer is C) y= |x-2| -5
3 0
3 years ago
If a cylinder has a height of 12 cm and a radius of 4 cm, what do you do to find the volume of the cylinder?
jenyasd209 [6]

Answer:

V = 603.43 cm³

Step-by-step explanation:

V = πr²h

Where r = 4 cm, h = 12 cm

V = 22/7 × 4² × 12

V = 22/7 × 4 × 4 × 12

V = 4224/7

V = 603.43 cm³

6 0
3 years ago
Read 2 more answers
This is due tomorrow and i have answers but i think ive done it wrong! please help
Eva8 [605]

Answer:  i) 1 - 9x² - 12x

               ii) 17 - 3x²

             iii) - 20 + 10x² - x⁴

<u>Step-by-step explanation:</u>

g(x) = 3x + 2       h(x) = 5 - x²

i) h(g(x))

  h(3x + 2) = 5 - (3x + 2)²

                  = 5 - (9x² + 12x + 4)

                  = 5 - 9x² - 12x - 4

                  = 1 - 9x² - 12x

ii) g(h(x))

   g(5 - x²) = 3(5 - x²) + 2

                 = 15 - 3x² + 2

                 = 17 - 3x²

iii) h(h(x))

   h(5 - x²) = 5 - (5 - x²)²

                 = 5 - (25 - 10x² + x⁴)

                 = 5 - 25 + 10x² - x⁴

                 = -20 + 10x² - x⁴

4 0
3 years ago
Father is 20 years older than son. if the sum of their ages is 40 years find their age​
sweet-ann [11.9K]

Answer:

20 is the father's 20 is the son

Step-by-step explanation:

20+20=40

40/2=20

40-20=20

another way:

20:n= 40

40-20=20

20:20=40

4 0
3 years ago
Read 2 more answers
“Drew has 50 red, green, and blue marbles. He has six more red marbles than blue marbles and four fewer green marbles than blue
kolezko [41]
(1) R+G+B=50
(2) R=B+6
(3) G=B-4 so substitute G in (1)
R+B-4+B=50 substitute (2) in here
B+6+B-4+B=50 group like terms and solve
3B+2=50
3B=50-2
B=48/3=16 substitute in (2) and (3)
R=16+6=22
G=16-4=12
Check
22+12+16=50✅


8 0
3 years ago
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