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wel
3 years ago
15

Solve the equation with the problem set {-28,-8,8,28} |10-x|=18

Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:

{-8,28}

Step-by-step explanation:

|10-x|=18

The absolute value has two solutions, one positive and one negative.

10-x = 18   and 10-x = -18

Subtract 10 from each side

10-10-x = 18-10     10-10-x=-18-10

-x = 8                     -x = -28

Multiply each side by -1

x = -8                      x = 28

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An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on th
nasty-shy [4]

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = \frac{opposite}{adjacent}

           = \frac{x}{d}

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is 30^{o}, and the height of the tree is 10 m, then the distance, d, across the river would be;

d = \frac{10}{0.5774}

  = 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

4 0
3 years ago
Generalize the pattern by finding the nth term.
Veseljchak [2.6K]

Answer:

4n+2

Step-by-step explanation:

The common difference between the terms is 4 which means that the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

a_{n}=a_{0}+(n-1)d

where a_n is the nth term, a_0 is the first term and d is the common difference between them.

We know that

a_{0}=6\\d=4

Putting the value in general formula:

a_{n}=6+4(n-1)\\a_{n}=6+4n-4\\a_{n}=4n+6-4\\a_{n}=4n+2\\

So the generalized pattern is 4n+2 ..

6 0
2 years ago
Compare the quantity in Column A with the quantity in Column B. Choose the best
atroni [7]

Answer:

<h3>option :c is correct..ok</h3>

3 0
3 years ago
The equation of this graph is
san4es73 [151]
Is this what you need or? Y= 1/4x +3
4 0
3 years ago
Read 2 more answers
Compare the two ratios by entering &gt;, &lt; , or = in the box.<br> ​ 1/8 ​ 3/20 ​
Elanso [62]
In order to compare the fractions, we need to convert them into decimal form, 
1/8 = 0.125
3/20 = 0.15
As 0.15 > 0.125

In short, Your Answer would be 3/20 > 1/8

Hope this helps!
5 0
2 years ago
Read 2 more answers
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