Answer:
Height = 20, Base = 6
Step-by-step explanation:
The area of a triangle is 
where b is the base and h is the height
We can factor by grouping
Length can only be positive, so we know that the base is 6 in
The height must be 2 + 3(6) = 20
Height = 20, Base = 6
Answer: 16
Step-by-step explanation:
For a perfect square each factor is identical.
Now, we have to find a number that adds to get 8.
The only option is (x+4)(x+4). When you distribute, you get x²+8x+16.
Now, we know that the missing number is 16.
The zeros of a quadratic function are found where the graph intersects the x-axis. If the graph interects the x-axis in 2 places, we have 2 real solutions; if the graph intersects--or just touches--the x-axis in one place we have one real solution multiplicity 2; if the graph doesn't go through the x-axis at all we have 2 imaginary solutions. Ours goes through the x-axis in 2 places so we have 2 real solutions. Choice A.
I assume the heights are 160 ft and 1480 ft.
The two heights are unknown, so we will use variable h to help solve the problem.
The shorter building, building A, has height h.
Since building A is shorter by 160 ft, then building B is taller by 160 ft, so the height of building B is h + 160.
Now we add our two heights to find the total height.
h + h + 160 is the total height.
We can write it as 2h + 160
We are told the total height is 1480 ft, so we let 2h + 160 equal 1480, and we have an equation.
2h + 160 = 1480
Subtract 160 from both sides
2h = 1320
Divide both sides by 2
h = 660
h + 160 = 820
Building A measures 660 ft.
building B measures 820 ft.
Answer:
Inequalities are different from equations. If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses.
