9514 1404 393
Answer:
top down: ∞, 0, 1, 0, ∞
Step-by-step explanation:
The equation will have infinite solutions when the left side and right side simplify to the same expression. This is the case for the first and last expressions listed.
2(x -5) = 2(x -5) . . . . expressions are already identical
x +2(x -5) = 3(x -2) -4 ⇒ 3x -10 = 3x -10 . . . the same simplified expression
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The equation will have no solutions when the x-coefficients are the same, but there are different added constants.
5(x +4) = 5(x -6) ⇒ x +4 = x -6 . . . not true for any x
4(x -2) = 4(x +2) ⇒ x -2 = x +2 . . . not true for any x
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The equation will have one solution when coefficients of x are different.
5(x +4) = 3(x -6) ⇒ 2x = -38 ⇒ x = -19
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
I believe none is the answer due to the fact it isn’t symmetrical. sorry if i am wrong. let me know if i am
Answer:
37-9v
Step-by-step explanation:
lets start with the parenthesizes
-9(-3-2v+3v)
multiply
27+18v-27v
next add the 10
37+18v-27v
combine the v's
37-9v
Answer:
x^2-11x-12
Step-by-step explanation:
I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)
Then you multiply it out and get the equation
F(x)= x^2+x-12x-12
Simplify your equation and you get
F(x)= x^2-11x-12