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1 year ago

Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10?

Mathematics

1 answer:

marishachu [46]1 year ago

5 0

The given equation is equivalent to Option D .

The mission option is

A. x+10= x+10

B. x+9 =x² + 20x + 100

C. x² +81 = x² + 100

D. x² + 81 = x² +20x + 100

<h3>What is an Equation ?</h3>

An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .

An equation is given in the question

$\rm \sqrt{x^2 + 81} = x +10$

$\rm {x^2 + 9^2} = (x +10)^2$

$\rm {x^2 + 81} = x^2 +20x + 100$

Therefore the given equation is equivalent to Option D .

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answer

z = 100

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2 years ago

How to get the radical answer simplified

SSSSS [86.1K]

For 61 you can change it to √25/√49. √25=5 and √49=7 so it would simplify to 5/7.

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3 years ago

zhuklara [117]

Step-by-step answer:

Given:

A triangle

Perimeter = 60 cm

longest side = 4* shortest side (x)

Solution:

longest side = 4x

shortest side = x

third (intermediate side = 60 -x -4x = 60-5x

The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence

x + y > 4x

x + 60-5x > 4x

60 - 4x > 4x

8x < 60

x < 60/8 = 7.5, or

x < 7.5

Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.

Examine the options: both 7 and 5 are both less than 7.5 cm.

40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.

Now also examine cases where 4x is NOT the longest side, in which case we need

4x>=y

4x >= 60-5x

9x >=60

x >= 6.67

so x=5 will not qualify, because 4x will no longer be the longest side.

The only valid option is x=7 cm

The side lengths for x=7 and x=5 are, respectively,

(7, 25, 28)

5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)

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3 years ago

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Answer:

0.006369

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By mere guessing p = probability for a right answer = 1/5 =0.20

There are two outcomes and each question is independent of the other.

X no of questions right is Bin (10,0.20)

the probability that the student will pass the test

= prob of getting more than 60%

= $P(X\geq 6)$

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3 years ago

What is the closest side lenght of this square? Area=99 square units

Alex Ar [27]

Answer:

3 $\sqrt{11}$

Step-by-step explanation:

$\sqrt{99}$ = 3 $\sqrt{11}$

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2 years ago

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