Answer:
a) 2-5 = -3
b) 3(4) + 2(4) = 20
c) (3(5)+2)(5-4) = 17
Step-by-step explanation:
Substitute the variables for their values and then solve from there. Hopefully this helps, I don't know if I answered your question fully.
1.) (2, 4) and (10, 8)
Distance: 4√5
Midpoint: (6, 6)
2.) (3, 8) and (7, 3)
Distance: √41
Midpoint: (5, 11/2)
3.) (4, 9) and (9, 5)
Distance: √41
Midpoint: (13/2, 7)
Answer:
Step-by-step explanation:
5098
B is the correct answer.
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
(36+2x)(72+2x) = 3006
Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006
Combining like terms gets us
2592 + 216x + 4x² = 3006
Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0
Writing in standard form we have
4x²+216x-414=0
