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Tamiku [17]
3 years ago
5

Find the slope of a line perpendicular to y = 3x + 7.

Mathematics
2 answers:
Ivanshal [37]3 years ago
5 0
The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b

Where
m
is the slope and
b
is the y-intercept value.
y
=
3
x
+
7
has a slope of:
m
=
3

Let's call the slope of a perpendicular line
m
p

The formula for
m
p
is:
m
p
=
−
1
m

Substituting gives:
m
p
=
−
1
3
anastassius [24]3 years ago
3 0

Answer:

jkkjkkl

Step-by-step explanation:

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18 feet

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Step-by-step explanation:

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Step-by-step explanation:

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Larry has 4-cent stamps and 9-cent stamps, which he can combine to produce various amounts of postage. For example, he can make
Tju [1.3M]

Answer:

  • the largest number that cannot be made is 23
  • see below for an explanation

Step-by-step explanation:

<em>Why numbers greater than 23 can be made</em>

From any number that Larry can make that includes an appropriate number of stamps, Larry can ...

  • add 1 by adding 1×9 and taking away 2×4
  • add 2 by adding 2×9 and taking away 4×4
  • add 3 by adding 3×9 and taking away 6×4
  • add 4 by adding 1×4
  • add 5 by adding 4 and 1 (add 9, take away 4)
  • add 6 by adding 4 and 2 (add 2×9, take away 3×4)
  • add 7 by adding 4 and 3 (add 3×9, take away 5×4)
  • add 8 by adding 2×4
  • add 9 by adding 1×9

Clearly, for Larry to be able to continue adding any number, he must start with a number that contains at least 6×4 cents = 24 cents.

Larry can make 24 cents from 6 4-cent stamps. Using the above table, he can add any amount to that.

___

<em>Why 23 cannot be made</em>

For 23 cents, the number of stamps must include 0, 1, or 2 9-cent stamps, so there are 3 cases to try for making 23:

  • 23 cannot be made from 0 9-cent stamps because 23 is not divisible by 4
  • 23 cannot be made using 1 9-cent stamp, because 14 is not divisible by 4
  • 23 cannot be made using 2 9-cent stamps, because 5 is not divisible by 4.

Therefore, 23 cannot be made.

7 0
4 years ago
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