Hi there!
The Eqn. is :-
1.5 (x + 4) - 3 = 4.5 (x - 2)
1.5x + 6 - 3 = 4.5x - 9
Combining the like terms :-
1.5x - 4.5x = - 9 - 6 + 3
- 3x = - 15 + 3
- 3x = - 12
x =
x = 4
Hence, the required answer is → x = 4
~ Hope it helps!
B, because the height of the boys can be anywhere between any positive number, however not negative because you can't be a negative height.
D, its is non-linear because their heights won't be going up by the same amount each time your x-value increases because the human body grows at different rates, it will be increasing because the human body is always growing until death.
Answer:
Step-by-step explanation:
since we don't have any sense of scale any one of the 1st 3 might be right,
here are the vertex locations for the 1st 3
( 1/3, 4/3)
(1,2)
(7/6 , 33/12 )
all three look pretty close... maybe the 2nd one? hmm
Answer:
D. Y+5=-(1/2)*(x+3)
Step-by-step explanation:
Perpendicular Lines are those with the following condition:
y=a*x+b (1)
y=c*x+d (2)
Where 'a' and 'c' are the respective slope
If These two lines are perpendicular, then
a=- 1/c
Equation (1) for our case is written as y=2x-8, meaning that a=2 and b = -8
Using those principles we have that the slope for our needed line ('c') has to be -(1/2).
Now we most use the given point to find the remaining term of the equation (d) so, evaluate (-3,-5) in eq (2) to have this:
-5=(-1/2)*(-3)+d
resulting that d=-5-(3/2)
Eq (2) is written now as the following: y= (-1/2)*x - (5+3/2)
Rearranging terms, we have the following:
y+5=(-1/2)*x-(3/2)
where you can obtain a more pretty expression:
y+5=(-1/2)*(x+3)