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ziro4ka [17]
3 years ago
7

What is the answer to this equation? Algebra 1 . |10-6r| -3 = 13 ??

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
8 0

Answer:

r = -1 or r = 13/3

Step-by-step explanation:

Solve for r over the real numbers:

abs(10 - 6 r) = 16

Split the equation into two possible cases:

10 - 6 r = 16 or 10 - 6 r = -16

Subtract 10 from both sides:

-6 r = 6 or 10 - 6 r = -16

Divide both sides by -6:

r = -1 or 10 - 6 r = -16

Subtract 10 from both sides:

r = -1 or -6 r = -26

Divide both sides by -6:

Answer: r = -1 or r = 13/3

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A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall
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Step-by-step explanation:

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A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng
tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, xy \leq 8000

So,x(220-x) \leq 8000

220x-x^2 \leq 8000

So,220x-x^2 = 8000\\-x^2+220x-8000=0

General quadratic equation : ax^2+bx+c=0

Formula : x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031

So, The possible parking lengths are 45.96 feet and 174.031 feet

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This it the question
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Answer:

d

Step-by-step explanation:

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