Answer:
-5
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
*see attachment for diagram
Answer:
Volume of new backpack = 1,299.84 in.³
Step-by-step explanation:
Volume of the new back pack = volume of the front pocket + volume of the main section of the backpack
✔️Volume of the front pocket = volume of rectangular prism = L*W*H
L = 8 in.
W = 4 in.
H = 2 in.
Volume of the front pocket = 8*4*2 = 64 in.³
✔️Volume of the main section of the back pack = volume of the rectangular prism + volume of the half cylinder
= L*W*H + ½(πr²h)
L = 12 in.
W = 10 in.
H = 7 in.
r = 6 in.
h = 7 in.
Plug in the values into the equation
Volume of the main section of the backpack = 12*10*7 + ½(π*6²*7)
= 840 + ½(791.68)
= 1,235.84 in.³
✅Total volume of the new backpack = 64 + 1,235.84 = 1,299.84 in.³
Answer:
1 : 6
Step-by-step explanation:
Calculate the perimeter
perimeter = 2(3x + 5) + 2(6x + 10) = 6x + 10 + 12x + 20 = 18x + 30
perimeter = 18x + 30 ← take out a common factor of 6 from both terms
= 6(3x + 5)
ratio of width : perimeter
= 1(3x + 5) : 6(3x + 5) ← divide both parts by (x + 5)
= 1 : 6
A polynomial function of least degree with integral coefficients that has the
given zeros 
Given
Given zeros are 3i, -1 and 0
complex zeros occurs in pairs. 3i is one of the zero
-3i is the other zero
So zeros are 3i, -3i, 0 and -1
Now we write the zeros in factor form
If 'a' is a zero then (x-a) is a factor
the factor form of given zeros

Now we multiply it to get the polynomial

polynomial function of least degree with integral coefficients that has the
given zeros 
Learn more : brainly.com/question/7619478