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kari74 [83]
2 years ago
9

1. What is an equation of the line through (3, 12) with slope = 3?​

Mathematics
1 answer:
mafiozo [28]2 years ago
8 0

Answer:

see below

Step-by-step explanation:

We can use point slope form

y - y1 = m(x-x1)

where m is the slope and ( x1,y1) is a point on the line

y-12 = 3(x-12)

If we want it in slope intercept form

Distribute

y-12 = 3x-36

Add 12 to each side

y-12+12 = 3x-36+12

y = 3x-24

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If $580 is invested in an account which earns 9% interest compounded annually, what will be the balance of the account at the en
joja [24]
The formula for compounded interest is A = P (1+r/n)^nt.
P=580 
r = .09
n = 1
t = 9
<span>
To find how much the balance is at the end of nine years, plug in all of the knows into the formula.</span>
A = 1259.698 is how much the balance will be. (Rounded to 1259.70 if you round to the nearest cent).



8 0
3 years ago
The line y= -3 is a reflection of the line y=5. What is the equation for the line of reflection?
Stels [109]

Answer:

y = 1

Step-by-step explanation:

The line of reflection will be a parallel line midway between y = - 3 and y = 5

y = \frac{-3+5}{2} = \frac{2}{2} = 1

line of reflection is y = 1

8 0
2 years ago
Read 2 more answers
Divide the following fractions and reduce to lowest terms 2/3 divided by 4/5
pshichka [43]
Well to divide 2 fraction you first have to find a least common number between the 2 bottom numbers in the fractions, we know automaticall that 15 fits in both the 3 and the 5. now u have to find out what to multiply by each number to get 15, for example what number do you multiply by 3 to get 15?? well it will be 5, so go ahead and multiply it by the fraction (note that what you do  in the bottom you have to do in the top) this will give you 10/15, because I multiplied the top and bottom number by 5... lets try the other one what number do you multiply by 5 to get 15?? well it will be 3 so go ahead and multiply that to get 12/15.. now add the top numbers (note that the bottoms always stay the same, you never add or subtract them) when you do you will get 22/15, now you have to see if you can simplify it any further in this case you can't so your final answer is 22/15

Hope this helps
5 0
3 years ago
Explain how knowing that 5/8= 0.625 heps you write the decimal for 4 5/8
netineya [11]
To convert a fraction to a decimal , the solution is to divide the numerator by the denominator. Since its a mixed fraction, you already know what  the 5/8 of the problem is (0.625). All you do it add the 4 to the decimal and it'll be 4.0625
7 0
3 years ago
Solve log x = 2.
Sever21 [200]

Answer:

If log x = 2

x = 100

Step-by-step explanation:

Logarithm always has a base and an index. It can be I many forms.

It can be in base 2, 3, 4, 5, and so on.

It is a property of logarithm that if

logarithm of 'a' to base 'b' equals 'x', we write:

log_b (a) = x

Then,

a = b^x.

Usually, when a logarithm is written without a base, it tells us that it is in base 10. Instead of writing a logarithm of x to base 10,we can just write 'log x', it is sufficient to say that it is in base 10.

It can also be in the form of the Napierian Logarithm, 'ln'.

'ln x' is logarithm to base 'e'.

if ln x = 5

Then

x = e^5.

So,

log x = 2

Means logarithm of 'x' to base 10 equals 2.

x = 10^2

= 100

x = 100

3 0
3 years ago
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