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Sergio039 [100]
2 years ago
9

Find the value of c that completes the square. m^2 + 32m + c

Mathematics
1 answer:
frutty [35]2 years ago
5 0

Answer:

c=256

Step-by-step explanation:

m²+32m+c=m²+32m+(32/2)²-(32/2)²+c

=m²+32m+16²-16²+c

=(m+16)²-256+c

for it to be a complete square -256+c=0

or c=256

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A rectangular prism shaped fish tank is 14 in tall the perimeter of the base is 96 in the length of the base is 3 times the widt
Alla [95]

Using the given information find the length and width of the base:

Perimeter = 2L + 2W

L = 3W

Replace L in the first equation:

Perimeter = 2(3W) + 2w

96 = 2(3W) +2W

Simplify:

96 = 6W +2W

96 = 8w

Divide both sides by 8:

w = 96 / 8

w = 12

The width is 12 inches.

The length = 3 x 12 = 36 inches.

Volume = L x W X H

Volume = 36 x 12 x 14

Volume = 6,048 cubic inches.

5 0
3 years ago
Grapes cost $4.99 for 4 pounds at the supermarket.They 6.99 for 6 pounds at food mart.Witch store has a better deal?
Triss [41]

Answer:

food mart

Step-by-step explanation:

supermarket= 1 pound cost $1.2475

food mart= 1 pound cost $1.17

5 0
3 years ago
-2x + y = 4<br> y = x + 2<br><br><br> Third question^ solve the system of equations
Leya [2.2K]

Answer:

x=-2 y=0

Step-by-step explanation:

put the second equation in to the first one

-2x+x+2=4

-x=2

x=-2

y=-2+2=0

x=-2 y=0

6 0
3 years ago
PLZ PLZZZZ HELP ASAP!!!!! <br> Explain the error: 144x2 - 100 (12x + 10)(12x - 10) 2(6x + 5)(6x - 5)
iogann1982 [59]

9514 1404 393

Answer:

  a factor of 2 is shown, but 4 was factored out

Step-by-step explanation:

The difference of squares is factored as ...

  a² -b² = (a +b)(a -b)

Then the given difference of squares factors as ...

  144x² -100 = (12x)² -10² = (12x +10)(12x -10)

Each of these factors has a factor of 2 that can be factored out:

  = (2(6x +5))(2(6x -5))

  = (2·2)(6x +5)(6x -5)

  = 4(6x +5)(6x -5)

The first factor should be 4, not 2.

7 0
3 years ago
Write a quadratic equation in standard form with the given roots of 3,-4
nexus9112 [7]

Answer:

Since the roots are 3, -4 then we must put

-3, 4 into this equation,

(x +a) * (x +b) = 0

(x -3) * (x +4) = 0 then multiplying

x^2 +x -12

Step-by-step explanation:

3 0
3 years ago
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