Answer:
The y-intercept is at (0,8), so you can graph that point. Then the slope is -3/5. So the change in y coordinate divide the change in x coordinate is always -3/5. Thus 8-y/0-x=-3/5. You can choose any value for y and x as long as 8-y=-3. And 0-x=5. The point on the graph will just be (x,y) for the values you find.
Answer:

Step-by-step explanation:

m = slope
b = y-intercept
x = 20 is the answer.
<u>Step-by-step explanation:</u>
When a parallel lines cut by a transversal, then the alternate exterior angles are congruent.
So the given 2 angles add up to 180 degrees.
5x+ 9 + 3x+ 11 = 180
8x + 20 = 180
8x = 180 - 20 = 160
x = 160/8 = 20
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>
A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
=
+ 
=
+ 
= 196 + 169 = 365
= 365
diagonal =
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
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