Answer:
d
Step-by-step explanation:
Slope intercept form: y = mx + b
y = -x + 7
x + y = 21
x + y = 21
-x -x
y = -x + 21
y = -x + 7
y = -x + 21
Parallel lines have the same slope. Here, our slope is -1
Therefore, our final answer is d.
Hope this helps!
Here we use the equation
Taking points (0,4), (1,2)
Substituting the point (0,4) , we will get
Substituting (1,2) we will get
So we have
Therefore , required equation is
Answer:
Step-by-step explanation:
the current ages:
father= 32 yrs old
son=5 yrs old
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4(5+x) = 32+x
20+4x = 32+x
4x-x = 32–20
3x =12
x = 12/3
x = 4 years
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after the 4 years later the farther age will be 36 ( 32+4 = 36)
the son will be 9 ( 5+4= 9 years)
the x presents how the father will be after 4 times the age of the son
The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4
and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.
Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)
The distance formula is just the Pythagorean Theorem applied to an x-y graph.
You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.
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