The answer is c because the remaining number would be 10
Answer: The system consists of parallel lines
Step-by-step explanation:
Given system of lines :

Substitute
in
, we get
, which is not true.
That means , system has no solution.
i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]
Answer:
Trampolinist will land on the trampoline after 0.9 seconds.
Step-by-step explanation:
The function h(t) = -16t² + 15 represents the relation between height 'h' above the ground and the time 't' of the trampolinist.
We have to find the time when trampolinist lands on the ground.
That means we have to find the value of 't' when h(t) = 15 - 13 = 2
[Since trampoline is 2 feet above the ground]
When we plug in the value h(t) = 2
2 = -16t² + 15
2 + 16t² = -16t² + 16t² + 15
16t² + 2 = 15
16t² + 2 - 2 = 15 - 2
16t² = 13


t = 
t ≈ 0.9 seconds
Therefore, trampolinist will land on the trampoline at 0.9 seconds.
Answer:
y = 3
Step-by-step explanation:
(5y - 3)/4 + 6 = 3y
5y - 3 + 24 = 12y
7y = 21
y = 3
Check.
(5*3 - 3)/4 + 6 = 3*3
(15 - 3)/4 + 6 = 9
12/4 + 6 = 9
3 + 6 = 9
9 = 9
Answer:
x = 7
Step-by-step explanation:
In this question, we need to find what the value of x is.
To do so, we need to find the value of the change of the triangle, since the triangles are basically the same
We know to get from 18 to 27, we would need to multiply 18 by 1.5.
This means that the triangle "BCD" is increasing from 1.5 to get "JKL"
With this knowledge, we also know that side CB, 10, needs to increase by 1.5
When you multiply 10 by 1.5, you get 15.
The triangle side "JK" is the same side as "CB", so we need to find what makes the value of 15 for the "JK" side.
To do this, solve 3x-6 for 15.
3x - 6 = 15
Add 6 to both sides.
3x = 21
Divide both sides by 3
x = 7
The x-variable would be 7.