9514 1404 393
Answer:
see below
Step-by-step explanation:
Starting from the point-slope equation ...
y -y1 = m(x -x1)
Solving for y gives ...
y = mx +(y1 -m·x1)
So, the slope-intercept form equation is fairly easily found:
y = mx +b . . . . where m = m, and b = y1-m·x1
This is the equation we have used for 'b' in the attached spreadsheet.
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Of course, the formula for slope is ...
m = (y2 -y1)/(x2 -x1)
This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)
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The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)
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I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:
y = mx +b
1. y = 2x -7
3. y = 2/3x +4
8. y = 1/3x -5
9. y = -5/2x +4
Answer: (7, 0)
Step-by-step explanation:
We have the system of equations:
9*x - y = 63
x = y + 7
We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:
9*x - y = 63
9*(y + 7) - y = 63
Now we have an equation that only depends on one variable, so we can solve it:
9*y + 63 - y = 63
8*y + 63 = 63
8*y = 63 - 63 = 0
y = 0/8 = 0.
Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:
x = y + 7 = 0 + 7 = 7
Then the point that is a solution for the system of equations is (7, 0)
Answer:
Solution :
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Two angles are said to be a pair of
adjacent angles if they have a common
arm and lie on the either sides of the
common arm .
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Now ,
i ) a , b are a pair of adjecent angles .
ii ) c , d are pair of adjecent angles.
iii ) e, f are not adjecent angles .
Step-by-step explanation:
Answer:
Recursive Formula: f(1) = 10, f(n) = f(n − 1) + 7 for n ≥ 2.
Explicit Formula: f(n)= 10+7(n-)
Step-by-step explanation:
Recursive Formula: f(1) = first term, f(n) = f(n − 1) + d for n ≥ 2.
Explicit Formula: f(n)= f(1)+d(n-1)
Answer:
Hey there!
15 is composite. A composite number has factors other than one and itself. 15 has factors 3 and 5.
Thus, 15 is composite.
Let me know if this helps :)
