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Fynjy0 [20]
2 years ago
6

Write a point-slope equation for the line that passes through the point (8,1) and is parallel to the line given by y 5.8x-9. Do

not use parenthesis on the yside.
Mathematics
1 answer:
kvasek [131]2 years ago
5 0
We know that
the equation of a line is
y-y1=m*(x-x1)

we have 
y=5.8x-9-----> the slope m=5.8
if the lines are parallel 
then
the slopes are the same
point <span>(8,1)
</span>y-y1=m*(x-x1)----> y-1=5.8*(x-8)

the answer is
y-1=5.8*(x-8)

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2 years ago
1. The sum of a two-digits number is 13. The tens digit is 8 less than twice the units digit. What is the number?
alexgriva [62]

Answer:

<u>The number is 67</u>

Step-by-step explanation:

<u>Equations</u>

Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.

Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that

Number=10*a+b

The question gives us two conditions:

1) The sum of a two-digits number is 13.

2) The tens digit is 8 less than twice the units digit.

The first condition can be expressed as:

a + b = 13                     [1]

And the second condition can be written as:

a = 2b-8                      [2]

Replacing [2] into [1], we have:

2b-8 + b = 13

Operating:

3b = 13 + 8

3b = 21

Solving for b:

b = 21 / 3 = 7

Substituting into [2]:

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3 0
3 years ago
Sherry brings two containers of cookies to a party. Each container contains 6 cookies. Sally shows up with a dozen cookies. Sand
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Answer:

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Number of cookies brought by Sandy = 2

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