Answer:
x = -8
Step-by-step explanation:
Distribute on both sides
combine constants
combine variables
then divide
The solution is where both lines intersect. First find the x-coordinate which we will find by going to the left two units. That means x = -2. Now going up one unit, which gives us y = 1
(-2, 1)
Answer:
287.1 inches of the canvas.
Step-by-step explanation:
To solve this, we need to first figure out the total area of the canvas. To do that, multiply width by height.
29*33=957
Now set up your equation for solving for the area of the canvas that the rose covers.
x/957=30/100
We did it where: x is the area of the rose covers, 957 is the amount of inches that the canvas takes up, and the right side of the equation is the percent.
Now cross multiply.
100x=28,710
Now divide both sides by 100.
x=287.1
The red rose covers 287.1 inches of the canvas.
Answer:
The answer is to the question is 13
Consider the top half of a sphere centered at the origin with radius

, which can be described by the equation

and consider a plane

with

. Call the region between the two surfaces

. The volume of

is given by the triple integral

Converting to polar coordinates will help make this computation easier. Set

Now, the volume can be computed with the integral

You should get