Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6) The graph in the attached figure
Step-by-step explanation:
Part 1) we have
The equation of the line into point slope form is equal to
substitute
Part 2) we know that
If two lines are perpendicular
then
the product of their slopes is equal to minus one
so
the slope of the line 1 is equal to
Find the slope m2
Find the equation of the line 2
we have
The equation of the line into point slope form is equal to
substitute
Part 3) we have
The equation of the line into point slope form is equal to
substitute
Part 4) we have
-----> y-intercept
we know that
The equation of the line into slope intercept form is equal to
substitute the values
Part 5) we have that
The slope of the line 4 is equal to
so
the slope of the line perpendicular to the line 4 is equal to
therefore
in this problem we have
The equation of the line into point slope form is equal to
substitute
Part 6)
using a graphing tool
see the attached figure
B. the slope is positive because its in a straight line
Answer:
8 grams
Step-by-step explanation:
The balance is in equilibrium, so the weights of the two sides are equal.
Let the weight of a square be s.
Left side: 2s + 4
Right side: s + 3(4) = s + 12
The weights are equal, so we set the two expressions equal.
2s + 4 = s + 12
s = 8
Answer: The weight of a square is 8 grams.
Answer:
The answer is x = 5
Step-by-step explanation:
The given equation is
25 - 3x = 10
So when we break down this equation, we will have the value of x. Now breaking down the equation and moving variables to the correct positions.
25 - 3x = 10
Moving -3x and 10 to the other sides
25 - 10 = 3x
3x = 25 - 10
3x = 15
Now dividing both sides with 3, we get the following answer
3x/3 = 15/3
x = 5
Breaking down the equation gives us the value of x, i-e 5