Start with the slope formula.
Slope formula can be read as the second y minus the first
y over the second x minus the first x.
So for this problem, the second y minus the first y would be
5 - 2 and the second x minus the first x would be 8 - 4.
5 - 2 over 8 - 4 is 3/4.
So the slope of the line that passes through these points is 3/4.
Let:
Larger number = x
Smaller number = y
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x + y = 49
x - y = 21
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Isolate the x in the first equation. Subtract y from both sides
x + y (-y) = 49 (-y)
x = 49 - y
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Now that we know what x is, plug in 49 - y (which = x) into x in the other equation.
x - y = 21
(49 - y) -y = 21
Simplify.
49 -2y = 21
Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First subtract 49 from both sides
-2y +49 (-49) = 21 (-49)
-2y = 21 - 49
-2y = -28
Next, divide -2 from both sides to isolate the y
-2y/-2 = -28/-2
y = -28/-2
y = 14
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Now that we know what y is, plug into one of the equations.
x + y = 49
x + (14) = 49
Isolate the x. Subtract 14 from both sides
x + 14 (-14) = 49 (-14)
x = 49 (-14)
Simplify
x = 35
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Answer:
Larger number: 35
Smaller number: 14
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hope this helps
Answer:
x=14
Step-by-step explanation:
Adding all angles in this diagram sould get you 360. Because of this, we can use inverse operations to solve this. Subtract 90 and 60 from 360 to get 210. Now, the equation is 15x=210. Dividing both sides by 15 gets you 14. Hope this helps!
Answer: 7
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is an arithmetic sequence with common difference d = 30.
a₂₀ = a₁ + (20-1)d = -8 + 19·30 = 562
