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Troyanec [42]
3 years ago
6

Write the equation of the line perpendicular to y= 2x +1 that passes through the point (6,2)

Mathematics
1 answer:
Xelga [282]3 years ago
6 0

Answer:

Step-by-step explanation:

Hello:

the equation is : y = ax+b

the slope is a : a×(2) = -1......( perpendicular to a line with a slope of 2 for : y=2x+1)

a =-1/2          y=(-1/2)x+b

the line that passes through (6, 2) : 2 = (-1/2)(6)+b

b = 5

the equation is :  y  = (-1/2)x+5

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One column of numbers consists of 61, 24, and 47. When the digits of the numbers are added together, the result is 6 + 1 + 2 + 4
ololo11 [35]
The question is incomplete because it must content a list of choices to select the right one.

Any way, a conclusion that you can make, and that is a common one for this kind of questions, is about whether the sum of the numbers of the second column may or not be the same sum of the numbers of the first column.

The condition for the two sums be the same is that when the digits of the second column are added together the result be the same obtained for the sum of the digits of the first column. In this case that is 6.

So, the possible answer is:

<span>If the end result from the second column is not 6, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.</span>
5 0
3 years ago
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When a can of soup is half full it weighs 8kg. when it is two fifths full it weighs 7 kg. what is the weight of the full can?
Sati [7]
14 kg because 2/5 equals 0.4 and 0.1 equals about 1 kg so I add 0.6 which equals 6 kg so i add 8 kg to 6 kg and get 14 kg
6 0
3 years ago
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A person invests 9000 dollars in a bank. The bank pays 4.75% interest compounded quarterly. To the nearest tenth of a year, how
solong [7]

7.1 years

Step-by-step explanation:

Principle P = 9000 dollars

Rate r = 4.75% = 0.0475

Total Amount A = 12600 dollars

compounded quarterly n = 4

Time t = ?

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(12,600/9,000) / ( 4 × [ln(1 + 0.011875/4)] )

t = 7.1 years

so the answer is 7.1 years

8 0
3 years ago
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Solve the following system by the comparison method.
Brut [27]
<span>2p + q = 1
9p + 3q + 3 = 0

q = 1 - 2p
replace </span>q = 1 - 2p into 9p + 3q + 3 = 0

9p + 3(1 - 2p) + 3 = 0
9p + 3 - 6p + 3 = 0
3p + 6 =0
3p = -6
p = -2

q = 1 - 2p
q = 1 -2(-2)
q = 1 + 4
q = 5

(-2 , 5)

answer 
<span>{(-2, 5)} first one</span>
6 0
4 years ago
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Please help me with this question
MrMuchimi

Answer:

x = 9

Step-by-step explanation:

when two lines intersect, it creates four angles. vertical angles are the angles that are opposite to each other. in the attached image, 1 & 3 are vertical angle pairs, and so are 2 & 4.

since vertical angles are always congruent, 3x - 8 is equal to 2x + 1

3x - 8 = 2x + 1

add 8 to each side

3x = 2x + 9

subtract 2x from each side

x = 9

check your answer:

3x - 8 = 2x + 1

3(9) - 8 = 2(9) + 1

27 - 8 = 18 + 1

19 = 19

8 0
2 years ago
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