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
-2y=11-x
-7x+11-x=-13
-8x=-24
x=3
-2y=11-3
-2y=8
y=-4
Answer:
Jack: 4 x 6 = 24
Jill: 5.4 x 10 = 54
Step-by-step explanation:
Jack:
5 + 1 = 6
24 ÷ 6 = 4
4 = $4 per item
Jill:
6 + 4 = 10
54 ÷ 10 = 5.4
5.4 = $5.4
B: 11
N: 5
Hope this helps!
Your equation: 4x² - 100 = 0
Factor the left side: (2x + 10) · (2x - 10) = 0
This equation is true if either factor is zero.
-- One factor: 2x + 10 = 0
Divide each side by 2: x + 5 = 0
Subtract 5 from each side: x = -5 .
-- The other factor: 2x - 10 = 0
Divide each side by 2: x + 5 = 0
Add 5 to each side: x = 5 .
Answer:
8/13
Step-by-step explanation:
5 + 5 + 3 = 13 total
5 red balls + 3 green balls = 8
