Answer:
y = -12
Step-by-step explanation:
-7/3y - 2/9 = 1/3
cross multiple for 1/3:
-21/3y - 6/9 = 1
cross multiply for 3y and 9:
-21 - 6 = 3y + 9
3y + 9 = -27
3y = -36
y = -12
Givens
AB + BC = AC
AB = 2(x + 1)
BC = 3x + 1
AC = 4(x + 2)
Substitute and Solve
AB + BC = AC
2(x + 1) + 3x + 1 = 4(x + 2) Remove the brackets on the left
2x + 2 + 3x + 1 = 4(x + 2) Collect the like terms on the left
5x + 3 = 4(x + 2) Remove the brackets on the right.
5x + 3 = 4x + 8 Subtract 4x from both sides.
5x - 4x + 3 = 8
x + 3 = 8 Subtract 3 from both sides
x =8 - 3
x = 5
Answers
AB=2(5 + 1) = 2 * 6 = 12
BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16
AC = 4(5 + 2) = 4*7 = 28
Answer:
b=12 or b=-12
Step-by-step explanation:
If the quadratic equation has a double root, then its discriminant is equal to zero. Find the discriminant:
Now equate the discriminant to 0:
10x + 3(2x + 5) = 19
10x + 6x + 15 = 19
16x + 15 = 19
16x = 4
x = 1/4
2(1/4) + 5
.5 + 5
y = 5.5
(1/4, 5.5) is your final answer