First one
remember
a/b=c/d also can be written as
ad=bc
so
first one can be rewritten as
3x=96
divide both sides by 3
x=32
2nd ones we can just times both sides by 5 to get
x=50/12
3rd one we times 12 both sides to get
x=8
4th one we translate to
4x=63
divide by 4
x=63/4
5th one we translate to
99=5x
divide by 5
99/5=x
6th one we times 21 both sides
6=x
7th one we times both sides by 16
14=x
last one we translate to
45=3x
divide 3
15=x
The perpendicular line will have a slope of b/a.
To find this, we first have to solve our equation for slope intercept form.
ax + by = c ----> subtract ax
by = -ax + c ----> divide by b
y = -a/bx + c/b.
So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.
Answer:
m=243/4 when v=9.
Step-by-step explanation:
We know that when y varies directly with x², the formula of direct proportion is
where 'k' is the constant of variation.
so
As m varies directly with v², and m=3 when v=2
m=kv²
k=m/v²
= 3/(2)²
=3/4
Hence, k=3/4
so when v=9 then the expression becomes
m=kv²
substituting v=9 and k=3/4
m= 3/4(9)²
=3/4 × 81
=243/4
Therefore, m=243/4 when v=9.
