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valentinak56 [21]
3 years ago
10

Write an equation for the line that is parallel to the given line and contains the given point. y=4/3x-7; (7,2)

Mathematics
1 answer:
nalin [4]3 years ago
7 0

Answer:

y = (4/3)x - (22/3)

Step-by-step explanation:

If it's parellel than they have the same slope.

m = 4/3

y = mx + b

y = (4/3)x + b

2 = (4/3)(7) + b

(6/3) = (28/3) + b

-(28/3) -(28/3)

(-22/3) = b

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5 0
3 years ago
Question: The meaning of four consecutive even numbers is 15.
nasty-shy [4]
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
No powers in this problem statement.  Perhaps you meant a_2 or a(2)


In this problem you have four numbers.  All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers.  Here this mean is 15.  The mean is most likely positioned between b anc c.


So here's what we have:  a+b+c+d
                                         ------------- = 15
                                                 4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60.    Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18.  Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.


</span>
8 0
3 years ago
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