Answer:
If you mean getting lower numbers then they are nonequivalent if bigger numbers they are equivalent
Step-by-step explanation:
Answer:
30 ft
Step-by-step explanation:
Multiply the scale factor by the wall given.
45 X 8 in = 360 in
Convert inches into feet. (12 inches = 1 foot)
360/12 = 30 feet
Answer:
(12,0)
Step-by-step explanation:
slope m=
hope it helps...
have a great day
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
We are given
The largest telescope in the world is powerful enough to identify a penny that is 5 miles away
it means that
distance =5 miles
we can change it into yards
we know that
1 mile=1760 yards
we can replace 1 mile
So, distance in yards is 8800 yards..........Answer
