.75x+5 ≤ 12

Explanation:you need to spend the 5 dollars to get in and the x is the number of games you play so all of that needs to be less than or equal to 12

6 0

3 years ago

Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

monitta

Answer:

$(x-7)^2+(y-2)^2=34$

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is at (7, 2), h = 7 and k = 2. Substitute:

$(x-7)^2+(y-2)^2=r^2$

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

$(2-7)^2+(5-2)^2=r^2$

Solve for r:

$(-5)^2+(3)^2=r^2$

Simplify. Thus:

$25+9=r^2$

Finally, add:

$r^2=34$

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

$(x-7)^2+(y-2)^2=34$

4 0

3 years ago

Four times a number increased by 40 is the same as when 100 is decreased by the number. Find the number.

Julli [10]

Answer:

x = 12

Step-by-step explanation:

4x+40 = 100-x

so when solved the answer is 12.

I hope this helps you.

5 0

3 years ago

You have set a goal to drink more water every day. Your water bottle holds 0.5 liters of water. In the equation below, b is the

Helen [10]

The liter is dependent and how much u drink is independent

7 0

3 years ago