Answer:
3x^2 - 9x + 8
Step-by-step explanation:
To simplify:
- Distribute the -1 into the second term.
- Collect and combine like-terms (terms with the same variables or powers)
The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)
After distributing the -1, the equation becomes:
- (2x^2 - 5x + 3) + (x^2 - 4x + 5)
The like-terms are:
- 2x^2 and x^2
- -5x and -4x
- 3 and 5
Combine the like-terms:
- 2x^2 + x^2 = 3x^2
- -5x - 4x = -9x
- 3 + 5 = 8
Substitute the simplified like-terms into the expression, in descending order:
Answer:
Problem 23) 
Problem 24) 
Step-by-step explanation:
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to
we have
Substitute the values
step 2
Problem 23
we know that
If two lines are perpendicular then the product of its slopes is equal to minus 1
so
Find the slope of the line
we have
substitute in the equation and solve for m2
with the slope m2 and the point 
find the equation of the line
Remember that
The equation of the line in slope intercept form is equal to
we have
-----> the given point is the y-intercept
substitute
step 3
Problem 24
we know that
If two lines are parallel, then its slopes are the same
so
with the slope m1 and the point 
find the equation of the line
The equation of the line in slope intercept form is equal to
we have
-----> the given point is the y-intercept
substitute
The coordinates of the midpoint of line segment AB:
subtitute
Answer:
T is =/> 3
Step-by-step explanation:
Add 9t to both sides, 3-4t>/= -9 . Subtract 3 from both sides. -4t>/=-12
divide 12 by 4 for 3. Because 3 results in equality between both sides, it is equal, however if t is greater than 3, the lefthand side becomes greater than the right.
Hi! This type of equation is actully really simple to solve once you learn how so I'll only do a few and let you solve the rest.
To solve 3x + 6 = 18 you just need to remember that whatever action you do on one side of the equal sign you have to do on the other as well, and you just need to get the variable isolated on one side and the constant on the other.
So subtract 6 from both of the constants (6 and 18) to get to 3x = 12.
Then divide both sides by 3 to isolate x and you get x = 4.
To solve x/7 -9 = -7 you have to add 9 to both sides to get x/7 = 2. Then because it's a fraction with a denominator of 7 you multiply both sides by 7 to get x = 14.
To solve 8x - 2x = -36 you combine like terms to get 6x = -36 then divide both sides by 6 to get x = -6.
Hope this is what you were looking for and explained in an understandable way, if not I apologize. :)
