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Tanzania [10]
2 years ago
7

Solve the equation

= 5" alt="\sqrt{x+3} +4 = 5" align="absmiddle" class="latex-formula"> Show each step of your solution process.
Mathematics
2 answers:
Oksana_A [137]2 years ago
6 0

Answer:

x = -2 & -4

Step-by-step explanation:

√(x + 3) + 4 = 5

√(x + 3) = 5 - 4

√(x + 3) = 1

[√(x + 3)]² = (1)²

x² + 9 + 6x = 1

x² + 9 - 1 + 6x = 0

x² + 8 + 6x = 0

x² + 6x + 8 = 0

x² + (4x + 2x) + 8 = 0

x² + 4x + 2x + 8 = 0

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

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

x = -2 & -4

Hence,

Value of x is -2 & -4

sergij07 [2.7K]2 years ago
3 0

Answer:

-2

Step-by-step explanation:

We start off by subtracting 4 on both sides giving us:

sqrt(x+3) = 5-4 = 1

So,

sqrt(x+3) = 1, and squaring both sides we get x+3 = 1

Therefore,

x = -2

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The solution to a quadric equation are x=2 and x=7. If k is a nonzero constant which of the following must be equal to the quadr
nikklg [1K]

Answer:

The quadratic equation form is x² - 9 x + 14  = 0            

Step-by-step explanation:

Given in the question as ,

The solution of quadratic equation are x = 2   and x = 7

The constant K is a non-zero number

Now , let the quadratic equation be , ax² + bx + c = 0

And  sum of roots = \frac{ - b}{a}

       product of roots = \frac{c}{a}

So, 2 + 7 = \frac{ - b}{a}

Or, 2 × 7 =  \frac{c}{a}

I.e \frac{ - b}{a}  = 9     ,     \frac{c}{a} = 14

Or,  b =  - 9 a           And c = 14 a

Put this value of b and c in standard form of quadratic equation

I.e ax² + bx + c = 0

Or, ax² - 9 ax + 14 a = 0

Or , a ( x² - 9 x + 14 ) = 0  

∴ a = 0   And  x² - 9 x + 14 = 0

Hence ,  The quadratic equation form is x² - 9 x + 14  = 0      Answer

7 0
3 years ago
A container at the petting zoo holds 8138.88 cubic centimeters of grain. Visitors can fill paper cones with with grain from the
alexandr1967 [171]

Answer:

The volume of the container is = 8138.88 cubic centimeters

Radius of the cone = 4 cm

Height of the cone = 9 cm

Volume of the cone =

So putting the values as pi=3.14 , r=4 and h=9 we get

= 150.72 cubic cm

So, the number of times the cone can be filled is =

The number of times is = 54.

Step-by-step explanation:

54 is your answer

6 0
3 years ago
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erastovalidia [21]

Answer:

Correct.

Step-by-step explanation:

This is the perimeter formula for a rectangle.

Perimeter is l + l + w + 2

p = 2l + 2w

8 0
3 years ago
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ki77a [65]

Which of the following expressions represents "5 less than 3 times the number m"?

3 m-5

5 m-3

<u>5-3 m</u><u> </u><u>✓</u><u>✓</u><u>✓</u>

3-5 m

<h2>Answer:</h2>

Option 3. <u>5 - 3m</u>

5 0
3 years ago
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barxatty [35]

Answer:

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Step-by-step explanation:

I believe and Hope my answer is correct.

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