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Natalka [10]
4 years ago
15

What equation in slope intercept form represents the line that passes through the two points 2,5 (9,2

Mathematics
1 answer:
vredina [299]4 years ago
8 0
General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (2,5),\ (9,2)\ into\ equation\\\\  \left \{ {{5=2a+b} \atop {2=9a+b}} \right. \\\\b=5-2a\ \ \ \ \ \ \ \ \ \ \ \ |from\ first\ equation\\\\2=9a+5-2a\ \ \ \ \ |substituting\ to\ the\ second\\2-5=7a\\7a=-3\\a=-\frac{3}{7}\\\\b=5-2\cdot(-\frac{3}{7})\\b=5+\frac{6}{7}=5\frac{6}{7}\\\\y=-\frac{3}{7}+5\frac{6}{7}
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Solve the following proportion.<br> х<br> 42<br> 35<br> 10
anzhelika [568]

Answer:

12

Step-by-step explanation:

The proportion is equal to \frac{x}{10}=\frac{42}{35}

We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get

60=5x

Dividing both sides by 5, we have the answer as

x=12

6 0
3 years ago
For an integer x,x squared minus x will always produce an even value
yuradex [85]

Answer:

Step-by-step explanation:

Not exactly sure what your question is - I am assuming that it is something like:

Show/prove that for any integer x, x^2 - x is even.

Suppose that x is an even integer.  The product of an even integer and any other integer is always even (x = 2n, so x * y = 2 n * y which is even.  Therefore x^2 is even.  An even minus an even is even.  (The definition of an even number is that it is divisible by 2 or has a factor of 2.  So the difference of even numbers could be written as 2*( the difference of the two numbers divided by 2); therefore the difference is even)

Suppose that x is an odd integer.  The product of 2 odd numbers is odd - each odd number can be written as the sum of an even number and 1; multiplying the even parts with each other and 1 will produce even; multiplying the 1's will produce 1, so the product can be written as the sum of an even number and 1 - which is an odd number.  The difference between two odd numbers is even - the difference between the even parts is even (argument above), the difference between 1 and 1 is zero, so the result of the difference is even.

x^2 is therefore even if x is even and odd if x is odd; The difference x^2 - x is even by the arguments above.

5 0
3 years ago
How can i simplify 154/15
aleksley [76]
154\15=10.2666667
u can round it off to
10.3
4 0
4 years ago
A neighbor pays you and two friends 90 dollars to paint his garage. You divide the money 3 ways on the ratio 2:3:5
olchik [2.2K]
2x+3x+5x=90
10x=90
x=9

2 times 9=18
3 times 9=27
5 times 9=45

$18, $27, and $45.
5 0
3 years ago
Use the favorite game picture graph to answer the question
Novay_Z [31]

Answer:

There's no question-

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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