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salantis [7]
3 years ago
8

Solve the equation using square roots. 6x2 = 54

Mathematics
2 answers:
Aneli [31]3 years ago
7 0

Answer:

The solution of the equation is x=\pm 3

Step-by-step explanation:

Given : Equation  6x^2=54

To find : Solve the equation using square roots?

Solution :

The given equation is 6x^2=54

Step 1 - First we divide the equation by 6

 \frac{6x^2}{6}=\frac{54}{6}

 x^2=9

Step 2 - Taking square root both side,

\sqrt{x^2}=\sqrt{9}

x=\pm 3

Therefore, The solution of the equation is x=\pm 3

Mars2501 [29]3 years ago
5 0
6x^2 = 54

6(x^2) = 54

6(x^2)/6 = 54/6

x^2 = 9

rt(x^2) = rt(9)

x = 3

hope this helps
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Li brought five lip bombs each of the lip bombs Costs the same amount she spent a total of $7.25 A write an equation that repres
Advocard [28]

Answer:

A) 5c = 7.25

 (c being the singular lip balm price multiplied by 5)


B) You can draw a picture of 5 Lip balms, label each with (c) and then next to those drawings, put = 7.25. You could also draw 7 dollar bills and a quarter if you wanted!



C) 5c = 7.25

Divide each side by 5

c = 1.45


Each lip balm costs $1.45! Hope this helps! Please award brainliest if helped.




4 0
3 years ago
Read 2 more answers
Please help with this
klemol [59]

Answer:

(h+k)(2)=4+1+2-2=5

(h-k)(3)=9+1-3-2=3+1-1=9

3h2+2k3=3*5+2=17

7 0
3 years ago
Will give brainliest
ehidna [41]

Answer:

25.047 or roughly 25.

Step-by-step explanation:

I solved it wrong the first time then i double check with wolframalpha and got the correct number.

We know that the area of the tile is 18 \sqrt{3} and it makes a triangle, we also know the base and height. In this case the base is 2\sqrt{3}^{x/12} and the height is also given which is \sqrt{3}^{\frac{x}{6} }.

Area of triangle = \frac{bh}{2},

substituting we will end up with  18 \sqrt{3}  =( 2\sqrt{3}^{x/12}  *  \sqrt{3}^{\frac{x}{6} }) / 2

Here is the tricky part \sqrt{x} = x^{\frac{1}{2} }, i totally forgot about that lol.

Simplifying: we will get  18 \sqrt{3} = 3^{\frac{x}{8} }

Now, in order to find the x, we will need to take the log of both sides.

log18\sqrt{3}  = \frac{x}{8} log3

Solving for x we end up getting:

8\frac{log18\sqrt{3} }{log3} = x

where x = 25.047.

To be honest I deserve a nobel prize not a brainliest lol.

Good question bro, take it easy.

5 0
3 years ago
Please help i need the answer and how you did it
Arturiano [62]
1. First, do 12 x 8 to work out the area of the rectangle, which is 96ft.
Then, to work out the area of a circle, you use the equation πr² to help you. You would multiply π by the radius², which is 16. Now you have just worked out the area of a circle, but not a semicircle, so you would have to divide your answer by two to get the area of this, which would be 25.13 (rounded to 2 d.p).
To get the area of the whole shape, you just have to add the two totals together.
25.13 + 96 = 121.13ft.
Remember to put the units there, or you can lose marks.

Try your best with the next questions! I have written the formulas for the other shapes to help you work out the answers.

Area of a square = Multiply sides together.
Area of rectangle = Multiply width by length.
Area of a circle = Multiply π by the radius².
Area of a semicircle = Multiply π by the radius², and the divide by two.
Area of a triangle = Multiply the base by the height, and then divide by two.

Really hope this helps!

3 0
3 years ago
Read 2 more answers
Adam is building a rectanglar swimming pool. The perimeter of the pool must be no more then 120 feet. If the length of the pool
jasenka [17]

Answer:

W\leq 38\ ft

The maximum width must be 38\ ft

Step-by-step explanation:

Let

L ----> the length of the rectangular pool

W ---> The width of the rectangular pool

we know that

P\leq 120\ ft  

P=2(L+W)

so

2(W+L)\leq 120 ----> inequality A

we have

L=22\ ft

substitute the value of L in the inequality A

2(W+22)\leq 120

simplify

(W+22)\leq 60

W\leq 60-22

W\leq 38\ ft

The maximum width must be 38\ ft

3 0
3 years ago
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