<span>First we have to determine the slope of each lines by transforming to the slope-intercept form:
y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5
The formula to be used in the proceeding steps is a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting, a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5) =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope
y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9</span>
<h3>
Therefore they are perpendicular.</h3>
Step-by-step explanation:
A equation of line is
y =mx +c
Here the slope of the line is m.
Given equations are
x - 2y = 18
⇔-2y = -x +18
............(1)
and 2x + y = 6
⇔y = -2x +6 ............(2)
Therefore the slope of equation (1) is
= 
Therefore the slope of equation (2) is
= -2
If two lines are perpendicular, when we multiply their slope we get -1.
therefore,
=. (-2) = -1
Therefore they are perpendicular.
Answer:
a = 64
Step-by-step explanation:
The geometric mean of 2 numbers a and b is 
, then
= 16
( square both sides )
28a = (16 )² = 1792 ( divide both sides by 28 )
a = 64
We know that
if <span>(ax + b)(cx - d) = 0
then
</span><span>(ax + b)= 0-----> ax=-b------> x=-b/a
and
</span><span>(cx - d) = 0-----> cx=d------> x=d/c
therefore
the answer is the option
</span><span>C. -\frac{b}{a}</span>
Answer:
A) 2/10 or 20%
B) 3/10 or 30%
Step-by-step explanation:
There are 10 ice pops.
10 is going to be your denominator
Your numerator is going to be whatever amount of ice pops is.
After finding your fraction, divide the numerator by the denominator.
Lastly turn your decimal into a fraction.
2/10=0.2=20%
Hope I helped you.
