Answer:
Step-by-step explanation:
<u>Let the number is x, then we have:</u>
- 6x - 19 = 4x + 11
- 6x - 4x = 11 + 19
- 2x = 30
- x = 15
Answer:
See explanation
Step-by-step explanation:
The question has missing details, as the diagram of the prism is not shown.
However, I'll solve using a general rule.
The volume of a triangular prism is:

Where



Take for instance:



The volume is:



Another instance (see attachment).
From the attachment:



The volume is:



Answer:
-4<n≤5
If you are using another variable just replace it in.

In the first parenthesis, multiply the numerators so we get -12 and after multiply the denominator we will get 10
So the fraction in the first parenthesis will be 
To solve the 2nd parenethesis, find the LCD of the denominator.
So the LCD of 5 and 3 = 15,
Now make the each denominator same as that of LCD.
So the new fractions in the 2nd parenthesis =
= 
In the third parenthesis, multiply the numerators so we get 3 and after multiply the denominator we will get 8
So third parenthesis = 
= 
LCD of 12,15 and 8 is 120
=
=
You can find the slope using the slope formula, y_2 - y_1 / x_2 - x_1 , where the y- and x- values are your coordinates.
y_2 - y_1 / x_2 - x_1 Plug in the values
4 - 3 / 2 - (-1) Cancel out the double negative
4 - 3 / 2 + 1 Add and Subtract
1 / 3
The slope of the line is 1/3.