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AnnZ [28]
2 years ago
8

Find the solution for x in the equation below. x² + 72x = 8

Mathematics
1 answer:
ipn [44]2 years ago
6 0

x^2+72x=8\\x^2+72x+1296=1304\\(x+36)^2=1304\\x+36=\sqrt{1304} \vee x+36=-\sqrt{1304} \\x=-36+2\sqrt{326} \vee x=-36-2\sqrt{326}

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10
ikadub [295]

Answer:

OD)  4.9 units, 14.2 units

<em> The lengths of the legs of a right triangle</em>

<em>   </em>a = 4.9units , b = 14.2units and hypotenuse 'c' = 15

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the Acute angle is 19°

And hypotenuse (AC ) = c= 15

We will take cos∝ = = \frac{adjacent side}{hypotenuse}

          ⇒  cos19 = \frac{BC}{15}

        ⇒  BC = 15 × cos 19°

        ⇒ BC  = 15 ×0.9455

       ⇒ BC = 14.18

The length of the one leg of the right angle triangle

          BC = b = 14.18≅ 14.2

We know that ΔABC is a right angle triangle

       c^{2} = a^{2} + b^{2}

     a² = c² - b²

         = 15² - (14.18)²

        = 225 - 201.07

       = 23.93

   a² = 23.93

  a = √23.93 = 4.89≅4.9

<u><em>Final answer:-</em></u>

<em> The lengths of the legs of a right triangle</em>

<em>        </em>a = 4.9units , b = 14.2units and hypotenuse 'c' = 15

3 0
3 years ago
Intervals do not need to be of equal size for a histogram.<br><br> True<br> False
ira [324]
The correct answer is true.

They are often of the same size, but this is not a requirement. What is important is that they're adjacent.
5 0
3 years ago
Read 2 more answers
What is the LCD of 1/9,1/27,8/45<br> HELP ASAP PLEASE
Alla [95]

to get the LCD we should start by doing a quick prime factoring of each denominator, as you see in the picture below.

the factors in red are the common factors to all values, and they are used in the LCD only once, the other not common factors in blue, they're used in the LCD.

4 0
3 years ago
What is the y-intercept and slope of the equation: y=6x+2
Nimfa-mama [501]

Answer: y intercept is 2 and slope is 6 or 6/1

Step-by-step explanation:

The number in front of x is always the slope in a y=Mx+b equation and the other number is the y intercept

8 0
4 years ago
Read 2 more answers
Due to the economy and not wanting to eliminate any jobs, all state employees were asked to accept a 4.5% reduction in their sal
jeka94

Answer: The secretary's salary prior to the reduction was $42,000.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)

Mathematically speaking:

x (4.5/100)= 1890

Solving for x:

x (0.045)= 1890

x = 1890/ 0.045

x = 42,000

The secretary's salary prior to the reduction was $42,000.

7 0
3 years ago
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