<span>a rotation 90° counterclockwise about the origin followed by a reflection across the y-axis</span>
Step-by-step explanation:
That function is a line that goes through the origin (0,0).
You only need one more point to be able to draw it.
Take x=4,5 the corresponding value of y is exactly what you want to know, the number of miles the lava moved after 4,5 hours.
So y = 6 * 4,5 = 27
Your second point is (4,5 , 27).
Now you can draw your line.
Answer:
For the values of x = 3 and x = -3 the given functions f(x) = g(x)
Step-by-step explanation:
Here, the given functions are
![f(x) = x^{2} \\g(x) = 9](https://tex.z-dn.net/?f=f%28x%29%20%20%3D%20x%5E%7B2%7D%20%5C%5Cg%28x%29%20%3D%209)
Now, given f(x) = g(x)
⇒ ![x^{2} = 9](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20%20%3D%209)
or, ![x = \sqrt{9} \implies x = 3, -3](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B9%7D%20%20%20%5Cimplies%20x%20%20%3D%203%2C%20-3)
Hence, for the values of x = 3 and x = -3 the given functions f(x) = g(x)
Y= ax² -4x +3
-b/2a is x - coordinate of the vertex,
line of symmetry x=-2, x=-2 is a coordinate of the vertex also, because the line symmetry has vertex.
x= -b/2a
x= -2, b= -4
-2=-(-4)/2a
-2=4/2a
-2=2/a
a=2/(-2)=-1
a= - 1
Answer:
x=75
Step-by-step explanation:
Hey There!
If you didn't know the exterior angle of a triangle is equal to the sum of the opposite interior angles of a triangle
So essentially what I'm saying is that
2x-5=70+x
step 1 add 5 to each side
-5+5 cancels out
70+5=75
now we have
2x=70+x
step 2 subtract x from each side
x-x cancels out
2x-x=x
we're left with
x=75