Answer:
48-12y
Step-by-step explanation:
6(7-3y) + 6(y+1)
distribute the 6 on both parentheses
42-18y+6y+6
combine like terms
42-12y+6
combine like terms again
48-12y
(35+t)/(5+t)=3 --> 35+t = 15+3t --> 20=2t --> t=10 years
Dad: 45, son: 15 (works!)
The quadratic equation is given by:
y = 3x² + 10x - 8
The standard equation of a parabola is given by:
y = ax² + bx + c
Where a, b, c are constants
At point (4, 80):
80 = a(4)² + b(4) + c
16a + 4b + c = 80 (1)
At point (-3, -11):
-11 = a(-3)² + b(-3) + c
9a - 3b + c = -11 (2)
At point (-1, -15):
-15 = a(-1)² + b(-1) + c
a - b + c = -15 (3)
Solving equations 1, 2 and 3 simultaneously gives:
a = 3, b = 10, c = -8
Therefore the quadratic equation becomes:
y = 3x² + 10x - 8
Find out more on quadratic equation at: brainly.com/question/1214333
Answer:
D
Step-by-step explanation:
In parallelogram, opposite angles are congruent.
m∠B = m∠D
3x = x + 52 {Subtract x from both sides}
3x - x = 52 {Combine like terms}
2x = 52 {Divide both sides by 2}
x = 52/2
x = 26
m∠B = 3x = 3*26 = 78
