Answer:
B = (7, 2)
Step-by-step explanation:
B = 2M -A
B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)
B = (7, 2)
_____
The expression for the other end point, B, comes from the equation for the midpoint.
M = (A +B)/2
2M = A + B . . . . . multiply by 2
2M -A = B . . . . . . subtract A to get an expression for B
S(p) = 400 - 4p + 0.00002p^4
D(p) = 2800 - 0.0012p^3
S(p) = D(p)
400 - 4p + 0.00002p^4 = 2800 - 0.0012p^3
0.00002p^4 + 0.0012p^3 - 4p - 2400 = 0
p = $96.24
Answer:
a
Step-by-step explanation:
After d days, the loaf of bread is 65 - 15d long.
l = 65 - 15d.
The graph is discrete, as he cannot cut the bread for 1.5 days, or cut 5cm of the bread off.
Answer:
<h3>10</h3>
Step-by-step explanation:
If point I is on the line segment HJ, then HI+IJ = HJ
Given the parameters
H I = 2 x
H J = 4 x
IJ=4x−10
Substituting the given parameters into the formula;
2x+4x-10 = 4x
6x-10 = 4x
collect like terms
6x-4x = 10
2x = 10
divide both sides b 2;
2x/2 = 10/2
x = 5
Since IJ = 4x-10
Substitute x = 5 into IJ
IJ = 4(5)-10
IJ = 20-10
IJ = 10
Capucine played a game where she earned 179 points from building 11 museums and 4 libraries.
Lets assume x points she earn per library
She earns 4 more points for museum than library.
4 more points per museum per x . so the points earned per museum is x+4
she earned 179 points from 11 museums and 4 libraries.
So the equation becomes


( subtract 44 from both sides)
(divide by 15 from both sides)
x = 9
She earns 9 points per library
We know points per museum = x+4 = 9+4 = 13
She earns 13 points per museum .