6-8x=-3x+11
-8x+3x=11-6
-5x=5
x=-1
The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.
I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set

for this example.)
The length of each cross section (the side lying in the base) has length determined by the horizontal distance

between the y-axis

and the curve

. In terms of

, this distance is

. The height of each cross section is twice the value of

, so the area of each rectangular cross section should be

.
This means the volume would be given by the integral
Answer: 1/10
Step-by-step explanation:
At the end of the day, she still had 2/5 of the book to read. Which meant that she had read 3/5 of the book. Since she read 1/2 of the book in the day, we would read 3/5 - 1/2 = 6/10 - 5/10 = 1/10 of the book at night.
So lets ABCD are the sides of the square and AB=CD, AC=BD and the Angle ABC = 90 so therefore by making a diagonal we can use the SAS or SSS congruency for two triangles, so we can prove two triangles are equal and that is why the shape is square.
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.

For the painting,

For the frame,

Since she wants to maintain the same ratio; both scale must be the same.
i.e.

Express as fraction


Make w the subject


<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>