I know that D is one of the answers. I'm not sure about the other ones.
Express the line in slope intercept form
this is done by making y the subject.
y = 3x/2 + 4
slope is 3/2
product of perpendicular lines is negative one
let me slope of the other line
m * 3/2 = - 1
m = - 2/3
<span>(3^(5))/(3^(-6)) = 1/3^-1 = 3</span>
A - side of small map
a+6 - side of larger map
(a+6)² - area of larger map
(a+6)² = 121
(a+6)² = 11² |√(...)
a+6 = 11 |-6
a+6-6 = 11-6
<span>a = 5
</span>Answer A. <span>5 inches by 5 inches</span>
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
so
we have
a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50
b) for x=2 y=1--------> y/x=1/2-------> 0.50
c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50
d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50
the value of k is equal to 0.50
so
<span>the relationship forms a direct variation. </span>
the equation is
y=0.50*x
Verify
for x=1
y=0.50*(1)------> y=0.50-----> is correct
for x=2
y=0.50*(2)------> y=1.00-----> is correct
for x=3
y=0.50*(3)------> y=1.50-----> is correct
for x=5
y=0.50*(5)------> y=2.50-----> is correct