6(x +y) -(a +b) = 6(-5) -(-5)
= -25
Answer: x=9
Step-by-step explanation:
The bottom triangle that has a 40° is an isosceles triangle, therefore the other angle at the bottom right is also 40°. This leaves the top angle to be 100°.
180=40+40+x
180=80+x
x=100
Now, to find ∠2, you can tell it is a supplementary angle. Therefore, the 2 angles add up to 180°
180-100=∠2
80°=∠2
The problem states that ∠2 is 9x-1. We know that ∠2 is 80°. We can solve for x.
80=9x-1
81=9x
x=9
Divide 100 to 56 = 56/100= 0.56 then you wanna times it by 50 so then it would be.56x50=28
You must do to the left hand side what you do to the right hand side.
We just want to get only A on the LHS and how much A is on the RHS.
A + 24 - 24 = -15 - 24 // we get rid of the +24 to only leave A and we do it on the other side because we always do that
A = -39
Answer:
- y = -6
- x=2 and x=6
- Greatest value of y is y=2 and it occurs when x = 4
- For x between x = 2 and x = 6, y > 0
Step-by-step explanation:
<u>Definition</u>
- A parabola is a curve where any point is at an equal distance from:
a fixed point (the focus ), and
a fixed straight line (the directrix )
From the graph we can see that this is indeed so. We can even calculate the parabola equation from the given graph but since that is not required, I am not illustrating the steps here to do that
- The y-intercept is the value of y where the parabola cuts the y axis and from the graph we see that this occurs at y = -6
- The x-intercepts are the x-values where the parabola crosses the x-axis and we can see that this occurs at x = 2 and x = 6
- The greatest value of y occurs at the vertex of the parabola and we see that the vertex is at (4,2) ie greatest value of y is at y = 2 and occurs at x=4
- Between x =2 and x = 6 we see that the y values greater than 0 ie y > 0
(Note on last question: If you exclude these two points then y > 0 between x=2 and x=6.Specifically it is 0 at x =2 and x=6 and > 0. So if you include these two points then y ≥ 0. I have taken it as excluding the two points, x = 2 and x =6)
