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aleksandrvk [35]
3 years ago
8

3√2x+1=15, then what is the value of x? 0

Mathematics
1 answer:
kifflom [539]3 years ago
5 0

Answer:

x = 7√2/3

decimal = 3.299831

Step-by-step explanation:

Subtract 1 from both sides

3√2x+1-1=15-1

Simplify

3√2x=14

Divide both sides by 3√2

3√2x/3√2 = 14/3√2

Simplify

x= 7√2/3

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Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript neg
Darina [25.2K]

By using exponent properties, we will get the simplified expression:

x^{-1}*y^{1/2}*z^2

<h3>How to simplify the given expression?</h3>

Here we have the expression:

(x^{1/2}*y^{-1/4}*z)^{-2}

Remember the exponent properties:

(a^n)^m = a^{n*m}

And:

(a*b)^n = (a^n)*(b^n)

So using these two properties, we can rewrite:

(x^{1/2})^{-2}*(y^{-1/4})^{-2}*(z)^{-2}\\\\(x^{-2*1/2})*(y^{-2*-1/4})*(z^{-2}})\\\\x^{-1}*y^{1/2}*z^2

So we conclude that the completely simplified expression is:

x^{-1}*y^{1/2}*z^2

If you want to learn more about exponents:

brainly.com/question/8952483

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8 0
2 years ago
the perimeter of an equilateral triangle is 150cm. If the length of the altitude of the triangle is x√3cm, what is the value of
jenyasd209 [6]

Answer:

X = 25

Step-by-step explanation:

To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.

Perimeter of an equilaterial triangle = 3 * s

S = side length

Perimeter = 150cm

150 = 3s

S = 150 / 3

S = 50cm

The side lengths are 50cm each since they are all equal.

To find x,

We have to divide the triangle equally into two different part.

Check the first attachment for better illustration on how the equilaterial triangle is.

Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.

From the right angle triangle, we can use pythagorean theorem to solve for x

a² = b² + c²

a = 50cm

b = 25cm

c = x√(3)

50² = [x√(3)]² + 25²

2500 = x² * 3 + 625

2500 - 625 = 3x²

1875 = 3x²

X² = 1875 / 3

X² = 625

X = √(625)

X = 25

4 0
3 years ago
Which of the following is the graph of:<br>(x-3)^2+(y+1)^2=9?​
Marianna [84]
<h3>Answer: Choice A</h3>

center = (3, -1)

radius = 3

==================================================

Explanation:

Rewrite the y+1 as y-(-1). Rewrite the 9 as 3^2

Then compare to the general form (x-h)^2+(y-k)^2 = r^2

You should find that h = 3, k = -1 and r = 3.

The center is (h, k) = (3,-1) and the radius is r = 3.

Choice A matches with that description.

8 0
3 years ago
Which of the following are exterior angles? Check all that apply.
dmitriy555 [2]

Answer:

A, B, & C

Step-by-step explanation:

Exterior angles of a triangle are the angles outside the triangle. They are formed by extending the side lengths of the triangle beyond the vertex.

8 0
3 years ago
Gene is creating a rectangular prism. The base of his prism is shown below. He plans to have a height of 5 cubes.
Luba_88 [7]

Answer:  8 is the answer for the question

Step-by-step explanation:

Can i get brainiest

5 0
2 years ago
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