Answer:
-10
Step-by-step explanation:
subtract 4 from both sides
divide by 2
Answer:
Cost of 18 pounds candy = $22.5
Cost of 10 pounds candy = $12.5
Cost of 1 pound of candies = $1.25
Step-by-step explanation:
6 pounds of butterscotch candies cost $7.50
⇔ 1 pound of same candy costs
$1.25
Now, we need to find the cost of 18 pounds of candy:
as, the cost of 6 pounds candy = $7.50
⇔ Cost of 6 x 3 = 18 pounds candy = $7.50 x 3 = $22.5
Cost of 10 pounds candy = 10 x (Cost of 1 pound candy)
= 10 x ($1.25) = $12.5
The unit rate for butterscotch candies = Cost of 1 pound of candies
= $1.25
Answer:
n=28,m=6
Step-by-step explanation:
Rearrange to give 4704 = m * n^2
Express 4704 in its prime factorisation:
2^5 * 3^1 * 7^2
We know that n must be as large as possible and, because it is squared, be the even numbers.
We get n^2 = 2^4 * 7^2 so n = 2^2*7 = 28
m is the leftovers
2^1*3 = 6
Answer:
Horizontal line has a slope of 0
Polar and cartesian equation<h2>Initial explanation</h2>
Let's analyze the relation between r and x and y:
We have that between the indicated value of r (of the polar coordinates) and x and y (of the cartesian coordinates) there is a relation because they form a triangle. If r changes, then the value of x and y will change.
<h2>STEP 1: given equation</h2>
Using the given equation
r = 2 secØ
we have that

<h2>STEP 2: secØ equation</h2>
Observing the image of the initial explanation we have a right triangle, we know that the equation of
secØ for any right triangle is given by:

In this case,
hypotenuse = r
adjacent side = x
then,

<h2>STEP 3: comparison between given equation and secØ equation</h2>
Then, we have that:

This means that:

Then,
x = 2
The equation in cartesian coordinates is x=2.
Answer: x=2