Because those are straight lines, the 46 degrees must be equal to the (2x - 4).
2x -4 = 46.
2x = 46 + 4
2x = 50
x = 50/2
x = 25.
Step-by-step explanation:
By Descrates' Rule of Signs,
x² + 99x + 127 changes sign 0 times.
Hence it has 0 positive roots.
Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.
Hence both the roots are negative. (B)
Side 1 = short side = 2x-3
side 2 = longer side = (short side) + 6 = (2x-3)+6 = 2x+3
side 3 = side 2 = 2x+3
Side 2 and side 3 are the longer two congruent sides
Add up the three sides and set them equal to the given perimeter of 33. Solve for x
(side1)+(side2)+(side3) = perimeter
(2x-3)+(2x+3)+(2x+3) = 33
(2x+2x+2x) + (-3+3+3) = 33
6x+3 = 33
6x+3-3 = 33-3
6x = 30
6x/6 = 30/6
x = 5
If x = 5, then the longer sides are 2*x+3 = 2*5+3 = 10+3 = 13 inches each
(note: the short side is 2*x-3=2*5-3=10-3 = 7 inches)
Answer: 13 inches
Perform the indicated multiplication:
<span>7p-(3p+4)= -2(2p-1) + 10
becomes
7p - 3p - 4 = -4p + 2 + 10
Group like terms:
7p - 3p + 4p = 2 + 10 + 4
8p = 16 => p = 2 (answer)</span>
