Answer:
Jake is 9, and Jake's dad is 43.
Step-by-step explanation:
Ok, let's start off by putting a variable for Jack's age, A.
We know that Jack's father is 2 less than 5 times, so we can write his as 5x -2.
Now let's make an equation:
52 = x + 5x - 2
We need to isolate the x-values so we need to add 2 on both sides:
54= x + 5x
No we need to add the like terms:
54 = 6x
Finally, we just divide by 6 on each side.
Now we know X = 9 but we're not done yet :)
So because Jake's dad is almost 5 times as much, we first multiply Jack's age by 5. We get 45 but we need to subtract 2 which leaves us with 43.
Answer:
Step-by-step explanation:
We need to write this equation in y=mx+b where m is the slope.
3y= -2x +9
y= -2/3 +9
So now that it is in the form of y=mx+b, we can find the slope. -2/3 is the slope of the equation. Hope that helps!
9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally, so you have ...
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . . multiply by 24
3x +12 = 4x +2 . . . . . . . . eliminate parentheses
10 = x . . . . . . . . . . . subtract (3x+2)
Then BD = x+4 = 10 +4.
The length of BD is 14 units.
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<em>Additional comment</em>
The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.
