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Mice21 [21]
3 years ago
14

What is the equation of a line passes thru the point (4, 2) and is perpendicular to the line whose equation is y = ×/3 - 1 ??

Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0

Answer:

y = -3x + 14

Step-by-step explanation:

First find the reciprocal slope since it is perpendicular.  Slope of the other line is 1/3 so the slope for our new equation is -3.  

Plug information into point-slope equation

(y - y1) = m (x-x1)

y - 2 = -3 (x-4)

Simplify if needed

y - 2 = -3x + 12

y = -3x + 14

cupoosta [38]3 years ago
5 0

Answer:

Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.

y= -3x+b

Now, we can substitute in the point given to find the intercept.

2= -3(4)+b

2= -12+b

b=14

Finally, put in everything we've found to finish the equation.

y= -3x+14

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A nationwide poll asked a random sample of US adults the question, “Are you in favor of making Election Day a federal holiday?”
forsale [732]

Answer: point estimate = 0.67 and Margin of error = 0.03 .

Step-by-step explanation:

For confidence interval,

Lower limit = point estimate - margin of error

Upper limit = point estimate + margin of error

Given confidence interval: (0.64, 0.70)

i.e. Lower limit = 0.64

Upper limit = 0.70

i.e. point estimate - margin of error= 0.64   (i)

point estimate + margin of error= 0.70 (ii)

Adding (i) and (ii) , we get

2( point estimate) = 1.34

⇒ point estimate = 0.67

Eliminate (i) from (ii) , we get

2( Margin of error ) = 0.06

⇒  Margin of error = 0.03

Hence, point estimate = 0.67 and Margin of error = 0.03 .

6 0
3 years ago
Read 2 more answers
Please help will name brainiest<br> 6n+11=-13 what in n
tatuchka [14]

Answer:

-4

Step-by-step explanation:

We know the value has to be less than 0 since the answer is negative.

We also know that the value has to be greater than -13.

Now we can try the values -1 through -12

Just try each number and remember to add 11 to each value.

After doing this, you should have noticed that the number -4 had given the correct number. This means the answer is -4

4 0
3 years ago
The question is number 6 i don't know if I got it right I really need to know and this is solving quadratics by completing the s
zhenek [66]

Answer:

Step-by-step explanation:

If u = 6 then substitute so

6(6+6)=6 know solve but this isn't going to be correct because 6 plus 6 is 12 times 6 isn't 3

So your answer isn't correct. I think it would be a negative number or decimal because 6 is larger than 3. Hope this helps!

it is u(u+6)=3

I got u=6

4 0
3 years ago
Which statement is true?
Lelu [443]

Answer:

The statement that is true is:

A debt of $17 is a larger value than a debt of $20.

Step-by-step explanation:

Let us look at the statements one after the other to determine if they are true or not:

1) A debt of $17 is a larger value than a debt of $20: This is true because when measuring debts, we will consider the values in the negative sense (-). Therefore, a debt of $17 has a value of (-17) and a debt of $20 has a value of (-20). -17 is larger than - 20 on a number line, hence, a debt of $17 has a larger value for the debtor, than a debt of 20$

2) One half an apple is equivalent to 8 fourths apples:

one half an apple = \frac{1}{2}\ of\ an\ apple

8 fourths of an apple = \frac{8}{4} = \frac{2}{1}\ of\ and\ apple. Therefore, one half of an apple is not equivalent to 8 fourth of an apple.

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8.01 - 8.001 = +0.009, hence, 8.01 is larger than 8.01 by a magnitude of 0.009

4) \frac{2}{3}\ below\ zero is a lower temperature than 6 below zero:

\frac{2}{3}\ below\ zero\ = (-\frac{2}{3})^\circ

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On the number line, -6 is smaller than -\frac{2}{3} hence the statement is false.

5 0
3 years ago
What is a salary and wages
LiRa [457]

Answer: salary is a form of payment from an employer to an employee, which may be specified in an employment contract and wages is monetary compensation (or remuneration, personnel expenses, labor) paid by an employer to an employee in exchange for work done.

Step-by-step explanation:

3 0
3 years ago
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