Answer:
Archimedes
Step-by-step explanation:
Archimedes is known as the Father Of Mathematics.
Answer: 6x + 3.5y > 60
<u>Step-by-step explanation:</u>
Popcorn: cost is $6.00, variable is x
Soda: cost is $3.50, variable is y
Total: GREATER than $60
Popcorn + Soda > Total
6x + 3.5y > 60
Answer:
(c) 5y -17x +99 = 0
Step-by-step explanation:
The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.
<h3>Midpoint</h3>
The midpoint of XZ is the average of the coordinates of X and Z.
M = (X +Z)/2
M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)
<h3>Line through two points</h3>
The slope of the median can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
The slope of line YM is ...
m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line with slope 17/5 through point Y(7, 4) is ...
y -4 = 17/5(x -7)
Subtracting the right side, and multiplying by 5 gives ...
5(y -4) -17(x -7) = 0
5y -17x +99 = 0 . . . . equation of the median through Y
Step-by-step explanation:
The slope of the line passing through two points is given by,
13)
option D
14)
option C
15)
option B
16)
option C
Too lazy to do the work. Divide it into 2 rectangles. First rectangle's dimensions: 8 and 5. Second rectangle's dimensions: 7 and 7. Surely, you know the rest. Your welcome.