The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
The equation is given as:
The possible next steps are:
1. Expand the equation as follows
2. Express x^2 -16 as a difference of two squares as follows
However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give
This is so, because the question says Amy is trying to solve for variable x.
This step will ensure that she gets the possible values of x, unlike expanding the whole equation .
Hence, the correct next step is
Read more about equations at:
brainly.com/question/7674413
Hey there :)
↓ Is the same as
÷
Since it is a division by fraction, we can multiply by what is called the reciprocal
( The attached picture might help you )
(
) ×
↓ For this part, we need the common denominator, which is 6
×
×
×
↑
Your final answer
Answer:
Step-by-step explanation:
The first step is to find the slant height of the cone. Using the pythagorean theorem, you can find that 
cm. Plugging this into the equation, you get 
. Hope this helps!
<span>Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What is this number expressed in scientific notation?</span>
Answer:
y=2x+7
Step-by-step explanation:
A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).
Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:
y=2x+b
The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.
y=2x+b
5=2(-1)+b
5=-2+b
Add 2 to both sides to isolate b
5+2=-2+b+2
7=b
Now that we know b, we plug that into our original equation and now we have a final equation of:
y=2x+7
I hope this helps!
