Answer:
Step-by-step explanation:
Since both equations equals y, then both equations equal each other.
3x - 1 = 2x + 2
Subtract 2x from both sides
x - 1 = 2
Add 1 to both sides
x = 3
Plug x = 3 into one equation(doesn't matter which)
y = 3x - 1
y = 3(3) - 1
y = 9 - 1
y = 8
Answer:
x=12.5
Step-by-step explanation:
The given triangle is a right angle triangle.
We cannot use the Pythagoras theorem as the lengths of all sides are not known. We will use triangular ratios here to solve the given problem.
As it is clear from the diagram that x is the hypotenuse of the triangle and 11 is the length of the base. We will use a ratio in which base and hypotenuse are used.
So,
cos θ= base/hypotenuse
cos 28=11/x
x=11/cos28
x=11/0.8829
x=12.45
Rounding off to nearest 10
x=12.5
I'm pretty sure it a 3 to 8 and 32 to 12
Vertex aka max or min point is found by -b/2a in form
f(x)=ax^2+bx+c
f(x)=-1x^2+8x+20
vertex x value is -8/(2)(-1)=-8/-2=4
input back to find y value
f(4)=-(4^2)+8*4+20
f(4)=-16+32+20
f(4)=36
max (since the graph opens down) is (4,36)
axis of symmetry is the x coordinate
max is (4,36)
axis of symmetrry is x=4
