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Alisiya [41]
3 years ago
6

Which of the following are solutions to the equation below?

Mathematics
1 answer:
evablogger [386]3 years ago
6 0

Answer:

x = 5 ± \sqrt{17}

Step-by-step explanation:

Given

x² - 10x + 25 = 17 ← left side is a perfect square, thus

(x - 5)² = 17 ( take the square root of both sides )

x - 5 = ± \sqrt{17} ( add 5 to both sides )

x = 5 ± \sqrt{17}

Thus

x = 5 - \sqrt{17}

x = 5 + \sqrt{17}

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Find the value of x. For Geometry​
Sergeu [11.5K]

Answer:

x=36

Step-by-step explanation:

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3 years ago
A 120 meter long ski lift carries skiers from 40 m above. What is the IMA of the lift
IrinaVladis [17]

The ideal mechanical advantage of a slope is given by the ratio between the output load, which is simply the weight of the object (), and the input force  applied to move the object along the slope:

The energy conservation law states that the potential energy of the object when it reaches the final height h is equal to the work done to move the object along the distance of the slope , i.e.

From this we find

Therefore, we can substitute this into the formula of the ideal mechanical advantage and calculate its value:

Please said thanks

4 0
3 years ago
Simplify the expression<br> (-3+4k) - (-2+ 7k)
DedPeter [7]

Answer: −1−3k

Step-by-step explanation:

Distribute:

(−3+4k)−1(−2+7k)

(-3+4k)+{2-7k}

Eliminate redundant parentheses:

(−3+4k)+2−7k

-3+4k+2-7k

Add the numbers:

−3+4k+2−7k

−1+4k−7k

Add the same term to both sides of the equation:

−1+4k−7k

−1−3k

4 0
3 years ago
The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?
SSSSS [86.1K]

Answer:

see below

Step-by-step explanation:  5 27  7  16

area = 1/2 bh

height of a triangle is 7 ft more than its base

base = b

height = b + 7

area = 30

area = 1/2 b(h)

30 = 1/2 b(b + 7)

30 = 0.5(b²+ 7b)

30 = 1/2 b²+ 3.5b           solve for b

1/2 b²+ 3.5b = 30        

1/2 b²+ 3.5b - 30 = 0        

b²+ 7b - 60 = 0            factor

   (b +12)(b - 5) = 0    when b = -12 or 5     base length can't be negative

b = base = 5

area = 1/2 bh     1/2×2(9)     = 9

area = 1/2 bh     1/2×5(12)     = 60

area = 1/2 bh     1/2×9(16)     = 56

area = 1/2 bh     1/2×12(19)     = 114

5 0
3 years ago
What the answer X/3=3
galina1969 [7]

Answer:

x = 9

Step-by-step explanation:

Isolate the variable. Note the equal sign, what you do to one side, you do to the other. Multiply 3 to both sides.

(x/3)(3) = 3(3)

x = 3(3)

x = 3 * 3

x = 9

x = 9 is your answer.

~

3 0
4 years ago
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