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katrin [286]
3 years ago
8

Team A is located on the south bank of a river. Teams B and C are located on the north bank. The angle formed from Team C to Tea

m A is S 42o W. Team C is 10 feet due east of Team B and 12 feet from Team A. How far is Team A from Team B?
8.1 ft

12.4 ft

20.6 ft

9.1 ft
Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0
20 Ft is the answer
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What are the solutions of the equation (x – 3)2 + 2(x – 3) -8 = 0? Use u substitution to solve.
Andrej [43]

Answer:

x = -1 and x = 5

Step-by-step explanation:

<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>

<em />

(x – 3)² + 2(x – 3) -8 = 0   -------------------------------------------------------(1)

To solve this problem, we will follow the steps below;

let u = x-3

we will replace x-3 by u in the given equation:

(x – 3)² + 2(x – 3) -8 = 0  

u² + 2u -8 = 0  ----------------------------------------------------------- --------------(2)

We will now solve the above quadratic equation

find two numbers such that its product gives -8 and its sum gives 2

The two numbers are 4 and -2

That is; 4×-2 = -8    and 4+(-2) = 2

we will replace 2u by (4u -2u)  in equation (2)

u² + 2u -8 = 0

u² + 4u - 2u -8 = 0

u(u+4) -2(u+4) = 0

(u+4)(u-2) = 0

Either  u + 4 = 0

            u = -4

or

u-2 = 0

u = 2

Either u = -4    or u = 2

But  u = x-3

x = u +3

when u = -4

x = u + 3

x = -4 + 3

x=-1

when u = 2

x = u + 3

x = 2 + 3

x=5

Therefore, x = -1  and  x =5

x

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3 years ago
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Mademuasel [1]
The answer is A. You can check by plugging in the numbers for x.
8 0
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The HCF and LCM of two numbers x and 126 are 24 and 840 respectively. Find the value of x.
Zigmanuir [339]

Answer:

x=160

Step-by-step explanation:

x×126=24×840

x=\frac{24 \times840}{126} =160

8 0
3 years ago
Which of the following numbers is a Mersenne prime?<br> A: 90<br> B: 27 - 1<br> C: 211 - 1<br> D: 15
My name is Ann [436]

Answer:

  B:  2⁷-1 = 127

Step-by-step explanation:

A Mersenne prime is a prime of the form 2^n -1, where n is also a prime.

Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.

  2⁷-1 = 127 is a Mersenne prime

3 0
3 years ago
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