Answer:
-1 1/4
Step-by-step explanation:
1/4 - (1 1/2)
Get a common denominator
1/4 - 1 2/4
Take the larger number and subtract the smaller number and take the sign of the larger
1 2/4 - 1/4 = 1 1/4
The sign of the larger was negative
-1 1/4
Answer:
The son is five years old
Step-by-step explanation:
Let the son's age be x
A man is five as old as his son, 5x
In five years, he would be three times as old as his son
In five years: son would be x+5
Father 5x+5
3(x+5)=5x+5
3x+15=5x+5
Collect like terms
15-5=5x-3x
10=2x
Divide by 2
10/2=2x/2
x=5
The son is five years old
So this is our table:
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x-values | a b c d e f |
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y-values | g h i j k l |
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You can know that the values in the table are proportional if:
Hope that helps :)
Answer:
y=−x/2+2.
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=2x−5.
The slope of the perpendicular line is negative inverse: m=−12.
So, the equation of the perpendicular line is y=−x/2+a.
To find a, we use the fact that the line should pass through the given point: 3=(−12)⋅(−2)+a.
Thus, a=2.
Therefore, the equation of the line is y=−x/2+2.
Answer:
28
Step-by-step explanation:
Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:
3x+4 = 5x-6
3x+10 = 5x
10 = 2x
x = 5
Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:
(3*(5)+4)*2
=(15+4)*2
=19*2
=28
(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)
Therefore, the length of AC is 28.
