One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd
mart [117]
Answer:
The lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
Remember that
The formula to calculate the slope between two points is equal to
<em>Find the slope of the first line</em>
we have the points
(-3,-1) and (1,-9)
substitute in the formula
<em>Find the slope of the second line</em>
we have the points
(1,4) and (5,6)
substitute in the formula
Simplify
<em>Compare the slopes</em>
Find out the product
therefore
The lines are perpendicular
1/2 (a+b)h
1/2 (a+16)14=132
8×14=112
14÷2=7
132-112=20
20÷7 =2.857142857
so then a= 2.86 (3sf)
For more questions like that turn it into equation the make a subject of formula
Answer B would be the best answer because it states how the prices differ and the 1 Liter bottle is able to go into the 2 liter bottle almost two times. Answer A could also be correct but B is more descriptive.
Answer
Length = 10 ft
Width = 5 ft
Explanation
Area of the rectangle given = 50 ft²
Let the width of the rectangle be x
So this means the length of the rectangle will be 3x - 5
What to find:
The dimensions of the rectangle.
Step-by-step solution:
Area of a rectangle = length x width
i.e A = L x W
Put A = 50, L = 3x - 5, W = x into the formula.
The quadratic equation can now be solve using factorization method:
Since the dimension can not be negative, hence the value of x will be = 5.
Therefore, the dimensions of the rectangle will be:
