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mart [117]
2 years ago
13

Question 28 (1 point)

Mathematics
1 answer:
aniked [119]2 years ago
4 0

Answer:

+ 16

Step-by-step explanation:

x² - 8x = - 10

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + (- 4) = - 10 + (- 4)²

x² - 8x + 16 = - 10 + 16

thus 16 is added to both sides to complete the square

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Which of the following represents 5x 4/9 in radical formj
solong [7]
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\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
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5x^{\frac{4}{9}}\implies 5\sqrt[9]{x^4}
3 0
4 years ago
Find the perimeter of a rectangular strip of board is 3.28m long and 7.5m
OLEGan [10]

Answer:

21.56 m

Step-by-step explanation:

2(3.28) + 2(7.5)

(twos represent the sides)

6.56 + 15

= 21.56 m

8 0
3 years ago
Find the volume of an construction cone if it has a radius of 4 inches and a height of 16 inches.
True [87]

Answer:

≈ 268 or 85.3π

Step-by-step explanation:

V = 1/3πr²h

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V ≈ 267.9467 or 268

also can be considered 85.3π

8 0
3 years ago
Complete the following statement <br> (Picture above)
SOVA2 [1]
For this problem, you would replace x with 7 then solve.

3/ (7+2) - sqrt(7-3) =

3/9 - sqrt(4) =

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f(7) = 1
6 0
3 years ago
Solve for x: 3/3x + 1/x+4 = 10/7x
Mekhanik [1.2K]
Given,

3/3x + 1/(x + 4) = 10/7x

1/x + 1/(x+4) = 10/7x

Because the first term on LHS has 'x' in the denominator and the second term in the LHS has '(x + 4)' in the denominator. So to get a common denominator, multiply and divide the first term with '(x + 4)' and the second term with 'x' as shown below

{(1/x)(x + 4)/(x + 4)} + {(1/(x + 4))(x/x)} = 10/7x

{(1(x + 4))/(x(x + 4))} + {(1x)/(x(x + 4))} = 10/7x

Now the common denominator for both terms is (x(x + 4)); so combining the numerators, we get,

{1(x + 4) + 1x} / {x(x + 4)} = 10/7x

(x + 4 + 1x) / (x(x + 4)) = 10/7x

(2x + 4) / (x(x + 4)) = 10/7x

In order to have the same denominator for both LHS and RHS, multiply and divide the LHS by '7' and the RHS by '(x + 4)'

{(2x+4) / (x(x + 4))} (7 / 7) = (10 / 7x) {(x + 4) / (x + 4)}

(14x + 28) / (7x(x + 4)) = (10x + 40) / (7x(x + 4))

Now both LHS and RHS have the same denominator. These can be cancelled. 

∴14x + 28 = 10x + 40
14x - 10x = 40 - 28
4x = 12
x = 12/4

∴x = 3



8 0
3 years ago
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