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masya89 [10]
3 years ago
12

Solve 4x - 9 = k for x. O A. x=479 O B. x= k + 9

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

Answer:

         k + 9

x = --------------

              4

Step-by-step explanation:

To solve 4x - 9 = k for x, start by adding 9 to both sides.  You'll get:

4x = k + 9

Now isolate x by dividing both sides by 4:

         k + 9

x = --------------

              4

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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
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nadezda [96]

Answer:

P(-8,6), Q(-5,2), R(2,1)

8 0
3 years ago
PLEASE DO NOT BE NONSENSE​
gayaneshka [121]
7. 18.3 divided by 4 is 4.575. 4.575 is closest to 4.5 which would be our answer

8. 14.6 divided by 3 is 4.86. If we round it, then it would be 5 which would be the answer

10. The answer to the problem would be 11.58
6 0
3 years ago
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A cube has a side length of 20.5 cm .what is the surface area of the cube?
Nitella [24]

To sum up, we only have the length of one side.

We need to find the width of the same side. -

20.5 x 20.5 = 420.25

To get the surface area, we multiply by six.

<u>Why?</u> There are six sides on a cube.

420.25 x 6 = 2521.5

Answer: 2521.5 cm

6 0
3 years ago
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Is 16 and 40 relatively prime?
8_murik_8 [283]

Answer:

No

Step-by-step explanation:

Relatively prime means that the only common factor the 2 numbers share is 1

factors of 16 are 1, 2, 4, 8, 16

factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

common factors are 1, 2, 4, 8

Hence 16 and 40 are not relatively prime


8 0
3 years ago
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