When a line passes through the two points 
, its slope is given by the formula 
In this question, a line L passes through the points 
So, its slope is given by 
When two lines are perpendicular, then the product of their slopes is -1.
Since, the slope of the line L is 
, so the slope of the line which is perpendicular to the given line L is 
as the product of 
.
Answer:
V = 64 and V = 2,048
Step-by-step explanation:
The volume of a cube is found using V = s*s*s. Substitute s = 4.
The volume is V = 4*4*4 = 64.
The volume of the crate is 32 * 64 = 2,048.
Answer:
2.4 (2 2/5) pieces of pie per person.
Step-by-step explanation:
All that is needed to be done is simple division. Take your pieces of pie, (12) and divided it by the amount of people (5). This will give you 2.4. This can be turned into 24/10, and can be simplified twice. First to 12/5, then to 2 2/5.
Hope this helps!
The answer is: "2.5 years" .
___________________________________________________
Note: I = P * r * t ; { " Interest = Principal * rate * time "} ;
→ Solve for "t" {"time", in years} ;
Divide each side of the equation by "{P * r}" ;
to isolate "t" on one side of the equation ;
→ I / (P * r) = {P * r * t) / (P * r} ;
to get: " I / (P * r) = t " ;
↔ t = I / (P * r) ;
Given: I = $450 ;
<span>P = $2400 ;
r = 7.5% = 7.5/100 = 0.075 ;
Plug in these values into the formula to solve for the time, "t" :
</span>→ t = I / (P * r ) ;
= $450 / (<span>$2400 * 0.075) ;
= </span>$450 / ($2400 * 0.075) ;
= $450 / $180 ;
= $45 / $18 ;
= ($45 ÷ 9) / ($18 ÷ 9)
= $5 / $2 ;
= 2.5 ;
→ t = 2.5 years.
_______________________________________________________
The answer is: "2.5 years" .
_______________________________________________________
Answer:
I believe its y=5(4)^x
Step-by-step explanation:
The equation is supposed to look like y=ab^x
a is basically where it all starts, so where the y meets the 0
- so the 5 in the y's place meets the 0
b is what you're multiplying by on the y's side, which is by 4 every time
and the x is the exponent and since there is no exponent you leave it as x
