Answer:
Step-by-step explanation:
1. 2a + 3a + 3 = 8
5a + 3 = 8
5a = 5
a = 1
2. 3a - 2a - 4 = 0
a - 4 = 0
a = 4
3. 4 + 3a + 6 = 16
3a + 10 = 16
3a = 6
a = 2
4. 12a - 6a + 6 = 24
6a + 6 = 24
6a = 18
a = 3
Answer:
B
Step-by-step explanation:
a proportional relationship must have a straight line when graphed and it must go through the origin (0,0)
Right off the bat we can eliminate answer choice C because the line is not straight
the answer is not a nor d
the line may be straight but it does not go through the origin therefore it is not a proportional relationship
B makes a straight line and the line goes through the origin therefore B is the answer
Answer:
The coordinates of point D( 4,4)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given points are E(10,4) and B(16,4)
'E' is the mid-point of segment BD
Let D(x₁, y₁) be a point
E = midpoint of segment BD

20 = x₁ + 16
20-16 = x₁
x₁ =4
<u><em>Step(ii):-</em></u>


4 + y₂ = 8
y₂ = 8-4 =4
The co-ordinates of point D( 4,4)
Answer:
It is an irrational number,
as a decimal rounded to the tenth place is 1.7
Step-by-step explanation:
All square roots are irrational numbers
Answer:
5.25 seconds
Step-by-step explanation:
When the ball hits the ground the height is zero
Equate f(t) to zero and solve for t , that is
- 16t² + 84t = 0 ← factor out - 4t from each term
- 4t(4t - 21) = 0
Equate each factor to zero and solve for t
- 4t = 0 ⇒ t = 0
4t - 21 = 0 ⇒ 4t = 21 ⇒ t =
= 5.25
t = 0 is the time when the ball is kicked
t = 5.25 is the time taken for the ball to hit the ground