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AlexFokin [52]
3 years ago
8

The point slope form of the eqaution of the line that passes through (-5,-1) and (10, -7) is y+7= -2/5 (x - 10) what is the stan

dard form of the equation for this line 2x-5y=-15 2x-5y= -17 2x+5y=-15 2x+5y=-17
Mathematics
1 answer:
stira [4]3 years ago
7 0

Answer:

<h2>2x + 5y = -15</h2>

Step-by-step explanation:

The standard form of an equation of a line:

Ax+By=C

We have the equation in point-slope form:

y+7=-\dfrac{2}{5}(x-10)

Convert it to the standard form:

y+7=-\dfrac{2}{5}(x-10)     <em>multiply both sides by 5</em>

5y+35=-2(x-10)         <em>use the distributive property </em><em>a(b + c) = ab + ac</em>

5y+35=(-2)(x)+(-2)(-10)

5y+35=-2x+20          <em>subtract 35 from both sides</em>

5y=-2x-15            <em>add 2x to both sides</em>

2x+5y=-15

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Create a set of five positive numbers (repeats allowed) that have a median of 10 and a mean of 14. What thought process did you
Rainbow [258]
We have five value in the data-set

The third value will be 10 since we want the median to be 10

We want the mean to be 14

To find the mean of a data set, we divide the sum of the values by the number of values

Mean = Sum of values ÷ Number of values
14 = Sum of values ÷ 5
Sum of values = 14 × 5
Sum of values = 70

So we need 5 values that add up to 70, one of the value is 10, which is the median. We would want two values that are smaller than 10 and two values more than 10.

These four value must add up to 70 - 10 = 60

From here we can do trial and error:

Choose any two values less than 10, say 9 and 8
We now have in total 8 + 9 + 10 = 27

We have 70 - 27 = 43 left to find
Choose any two values that are bigger than 10 that add up to 43, for example, 20 and 23

Now we have our 5 values; 

8        9         10        20         23

Do the checking bit:

We can see from the set, the median is 10
Mean = [8+9+10+20+23] ÷ 5 = 70 ÷ 5 = 14

We can have values other than 8, 9, 20 and 23 as long as two values smaller than 10 and two values more than 10. All five values must add up to 70.


3 0
4 years ago
Use compatible numbers to estimate the quotient.<br>490÷8=
marysya [2.9K]
When you divide 490 divide by 8 you will get 61 R 2 because I did 61 times 8 is 488 then add 2 it makes it 490
8 0
4 years ago
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6(2b+5)=12b×30<br>What did Joseph do wrong and whats the correct answer<br>​
stiks02 [169]

Answer:

he placed a * sign instead of an add sign in the second part of the equation

Step-by-step explanation:

6(2b+5)=6*2b + 6*5 = 12b + 30

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3 years ago
A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.
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Answer:

d.1/8

Step-by-step explanation:

i think that is the answer

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7 0
3 years ago
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Help help help help help
castortr0y [4]
First you need to factor the problems by using a couple of different methods, but the easiest could be the factor tree:

for example with 4-6a

you would put 4 = 2•2 so 2 is it’s GCF
and 6= 3•2 so 3 is it’s GCF

however the question is asking for the combined GCF (meaning the whole problem)

so 4-6a’s GCF would be 2 considering it is the only greatest common factor between BOTH numbers

for 12a^2 - 8a you would use the same method:

12a^2= 3a•2a•2 and 3a is it’s GCF
8a = 2•2•2a and 2a is it’s GCF

but combined, the greatest factor BOTH numbers have in common is 2a, so 2a is the answer!

i hope i helped you :)!❤️
7 0
4 years ago
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