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natulia [17]
2 years ago
7

Square root of x plus 8 end root minus 6 equals x

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
5 0

Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

For more explanation, refer the following link:

brainly.com/question/10572241

#SPJ10

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The Dittany family's vegetable garden is shaped like a scalene triangle. Two of the sides measure 6 feet and 10 feet. Which coul
d1i1m1o1n [39]

Answer:

The length of the third side could be 9 ft

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

In this problem

Let

c-----> the length of the third side, in feet

Applying the Triangle Inequality Theorem

1) 6+10>c -------> c

2) c+6>10 -----> c>4\ ft

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Remember that

The scalene triangle has three different sides

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3 years ago
Is 10/9 closer to 1,1/2,0
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5 0
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Read 2 more answers
Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)
mina [271]

The result of the log function log_a (m * n ^ 2)  is 60

According to the law of logarithm if log_ab=y then b=a^y

Given the following expressions

log_am=10\\log_an=25

This can be expressed as

m =a^{10} \ and \ n = a^{25}

Substitute the value of m and n into the expression log_a (m * n ^ 2) to have:

log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60

This shows that the result of the log function log_a (m * n ^ 2)  is 60

Learn more here: brainly.com/question/12049968

6 0
2 years ago
George buys a computer. He pays a deposit of £200 and six monthly instalments of £55. How much does George pay for his computer
Citrus2011 [14]

Answer:

530

Step-by-step explanation:

200+6(55)

6x55=330

200+330=530

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