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
Answer:
40°
Step-by-step explanation:
The measure of the right angle is 90°.
The measures of the angles 10° and 2x add up to the measure of the right angle.
2x + 10° = 90°
2x = 80°
x = 40°
Answer:
0.60x80=48
Step-by-step explanation:
Substitute x = -2 in the equation
y = 2/3x + 3
y = (2/3 x 2) + 3
y = 13/3
answer is choice D
Answer:
5/6
Step-by-step explanation:
(6-1)/(2- -4) --> 5/6
