The midpoint is the average of the endpoint coords.
If (x,y) is F, then -6=(-14+x)/2 and 7=(13+y)/2.
<span>-14+x=-12 so x=2, and 14=13+y, so y=1 and F is (2,1).</span>
Answer:
Wholesaler A.
Step-by-step explanation:
First, put the pounds and dollars into fraction form. Then simplify those fractions. Finally, convert the fractions into decimals and compare the unit prices for each wholesaler. Whichever one is the lowest has the best price.
The complete question in the attached figure
we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³
[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³
[volume of a the composite figure]=[volume of a cone]+[volume of a a triangular prism]
[volume of a the composite figure]=[715]+[2750]-------> 3465 units³
the answer is
The volume of a the composite figure is 3465 units³
I'm assuming that the "linear parent function" is
. If so:
A. is true.
In fact, the slope of a line written in the form
is
, and the line
is given by 
C. is true.
Since the origin is the point
, if we compute the function at
, we want
. This is quite trivial since 
D. is true.
The domain is affected by denominators (they can be zero), even roots (they don't accept negative inputs) and logarithms (they don't accept non-positive inputs). Since this function has none of these three, the domain is all real numbers.
B. is FALSE.
The range of a function is the set of numbers obtained as output, for all possible inputs. Since, in this case, the input and the output are the same thing, if you give a negative input, you will receive the same negative output. So, the range doesn't consist only of positive numbers.
Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25