Answer:
The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in
Step-by-step explanation:
Data
total length = 24 inches
first piece = x in
second piece = 2x
third piece = 3x
Equation
x + 2x + 3x = 24
6x = 24
x = 24/6
x = 4 length of the first piece
second piece = 2(4) = 8 inches
third piece = 3(4) = 12 inches
M(x)=−(x−5) 2 +25m, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 5, right parenthesis, squ
Aleksandr [31]
Answer:
25
Step-by-step explanation:
Given the function that represents the amount of mosquitoes as;
M(x) = -(x-5)² + 25
To get the maximum mosquitoes possible, we need to first find x;
At the maximum dM/dx = 0
dM//dx = -2(x-5)
0 = -2(x-5)
-2(x-5) = 0
-2x + 10 = 0
-2x = -10
x = 10/2
x = 5
Substitute x = 5 into the function;
M(5) = −(5−5)² +25
M(5) = 0+25
M(5) = 25
Hence the maximum number of mosquitoes is 25
Answer:
Step-by-step explanation:
two points on the line are (-3,-2) and (5,4)
slope=(4+2)/(5+3)=6/8=3/4
eq. of line is
y+2=3/4 (x+3)
4y+8=3x+9
4y=3x+1
y=3/4 x+1/4
Answer:
17.90493 is the area
Step-by-step explanation:
Answer:
Coordinates of P: (10,2)
Step-by-step explanation:
Slope of ST = (2-(-5))/(-4-3) = -1
angle S = 90° so Slope of SP = 1
P(10,2)
