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hichkok12 [17]
3 years ago
13

What is square root of the product of the number z and itself​

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

\large\boxed{z}

Step-by-step explanation:

What is square root of the product of the number z and itself?

Break down into smaller parts

What is the product of the number z and itself?

Product = multiply

Write an equation multiplying z by itself

z * z

Bring back the full question: What is the square root of the product of the number z and itself?

Now we can just add a \sqrt{} to the front of our equation to solve the problem.

\sqrt{z * z}

Simplify

z * z = z^{2}

\sqrt{z^{2} }

In this case, the square root cancels out the exponent (z^{2}), so \sqrt{z^{2} } can simplify to z.

Hope this helps :)

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Find the length of the third side. If necessary, round to the nearest tenth
Lilit [14]

\huge\bold{Given:}

Length of the base = 8

Length of the hypotenuse = 17

\huge\bold{To\:find:}

The length of the third side ''x".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\purple{x\:=\: 15}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

\longrightarrow{\blue{}} {x}^{2} + (8)² = (17)²

\longrightarrow{\blue{}} {x}^{2} + 64 = 289

\longrightarrow{\blue{}}  {x}^{2} = 289 - 64

\longrightarrow{\blue{}}  {x}^{2} = 225

\longrightarrow{\blue{}}  x = \sqrt{225}

\longrightarrow{\blue{}}  x = 15

Therefore, the length of the missing side x is 15.

\huge\bold{To\:verify :}

\longrightarrow{\green{}} (15)² + (8)² = (17)²

\longrightarrow{\green{}} 225 + 64 = 289

\longrightarrow{\green{}} 289 = 289

\longrightarrow{\green{}} L.H.S. = R. H. S.

Hence verified.

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}

3 0
2 years ago
If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the
Law Incorporation [45]
                         Δ DUM         Δ MAP

hypotenuse:      15                2y-3
short leg:             12                0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.
6 0
3 years ago
Which expression is equivalent to 3+2? 
vichka [17]

Answer:

Any expression that equals 5.

Step-by-step explanation:

3 + 2 = 5, so any expression that equals 5 is equivalent to 3+2.

8 0
2 years ago
What is 4 - 2x = -2
vlada-n [284]

Answer:

x=3

Step-by-step explanation:

4-2x-4=-2-4

-2x=-6

\frac{-2x}{-2}=\frac{-6}{-2}

x=3

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Divide 81 ft in the ratio 5 :4
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Answer:

Rr = 51 : 68

Step-by-step explanation:

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