Answer:
EF = 13 units
Step-by-step explanation:
Points E and F are the ends of segment EF.
Coordinates of E → (-7, -5)
Coordinates of F → (-2, 7)
Since, length of a segment joining points and is given by,
Length of segment =
Length of segment EF =
=
=
= 13
Therefore, length of segment EF is 13 units.
Answer:
-17x+31
Step-by-step explanation:
-3(3<em>x-5</em><em>)</em><em>-4</em><em>(</em><em>2x-4</em><em>)</em>
<em>=</em><em> </em><em>-9x</em><em>+</em><em>1</em><em>5</em><em>-8x</em><em>+</em><em>1</em><em>6</em>
<em>=</em><em> </em><em>-17x</em><em>+</em><em>3</em><em>1</em>
Answer:
m(n) = 60000
Amount = 60000/n
Step-by-step explanation:
Given
Budget = 60000
Solving (a) Represent as a function mn
To do this simple substitute m(n) for Budget.
This gives;
m(n) = 60000
Solving (b) Amount each committee will receive.
Since the amount will be shared evenly.
Amount = m(n)/n
Substitute 60000 for m(n)
Amount = 60000/n
Answer:
Volume = 6783.27inch³
H = 6.951inch
L = 51.098inch
W = 19.098inch
Step-by-step explanation:
From the given information:
Let h = side length and height of the box
L = length of the box
W = width of the box
V = volume of the box
We have that:
L = 65-2h
W = 33-2h
V = L×W×h
Therefore we have
V = (65-2h)(33-2h)×h
V = (2145-130h-66h+4h²)×h
V = 2145h-196h²+4h³
By differentiating V w.r.t h, we have
V' = 2145-392h+12h²
V = 12h²-392h+2145
Using Almighty formula we have
h = 392+/-√392²-4(12)(2145)/2(12)
h = 6.951 or 25.716
Thus, we find L,W and V.
We use the least value of h in order not to get a negative value of volume, length and width
L = 65-2h = 65-2(6.951) = 51.098
W = 33-2h = 33-2(6.951) = 19.098
V = LWH = 51.098×19.098×6.951 = 6783.2696inches
Answer:
I think number 17 is depends on the type of substance
18 is no.
Step-by-step explanation: